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Crack The Iim Indore Ipm Entrance Examination 2nd Edition North Academics (Author) - Solutions

Cost price of 40 apples is same as selling price of N apples. In the process, he obtains a profit of 25%. What is the value of N?(a) 30 (b) 32(c) 50 (d) 36
Rahul bought a TV with 20% discount on the tag price. Had he bought it with 25%discount, he would have saved ` 500.At what price did he buy the TV?(a) ` 5,000 (b) ` 10,000(c) ` 12,500 (d) ` 15,000
A trader marked the price of his commodity so as to include a profit of 25%. He allowed discount of 16% on the marked price. His actual profit was:(a) 5% (b) 9%(c) 16% (d) 25%
List price of an article at a showroom is` 2,000. It is sold at successive discounts of 20% and 10%. Its net selling price will be:(a) ` 1,400 (b) ` 1,440(c) ` 1,500 (d) ` 1,700
Cost Price of two cameras bought together is ` 840.By selling one at a profit of 16%and the other at a loss of 12%, there is no loss or gain in the whole transaction. Find out the CP of the two watches.(a) ` 360, ` 480 (b) ` 480, ` 360(c) ` 380, ` 460 (d) ` 400, ` 440
A vegetable vendor sold half of his stock at 20% profit, half of the remaining at 20% loss and the rest was sold at the cost price. In the total transaction, his gain or loss will be:(a) neither loss, nor gain (b) 5% loss (c) 5% gain (d) 10% gain
Piyush purchased 20 dozen notebooks at` 48 per dozen. He sold 8 dozen at 10%profit and the remaining 12 dozen with 20%profit. What is his profit percentage in the transaction?(a) 6.68 (b) 15(c) 16 (d) 19.2
A house and a shop were sold for ` 1 lac each. In this transaction, the house sale resulted into 20% loss whereas the shop sale resulted into 20% profit. The entire transaction resulted in:(a) no loss, no gain(b) loss of ` 1/12 lakh(c) loss of ` 1/18 lakh(d) gain of ` 1/24 lakh
The difference between the cost price and sale price of an article is ` 240.If the profit is 20%, the selling price is:(a) ` 1,240 (b) ` 1,400(c) ` 1,600 (d) None of these
If a man reduces the selling price of a fan from ` 400 to ` 380, his loss increases by 2%. The cost price of the fan is:(a) ` 480 (b) ` 500(c) ` 600 (d) None of these
A man buys an article for 10% less than its list price and sells it for 10% more than its list price. His gain or loss percent is:(a) No profit, no loss(b) 20% loss(c) Less than 20% profit(d) More than 20% profit
A shopkeeper cheats to the extent of 10%while buying as well as selling, by using false weights. His total gain is:(a) 10% (b) 11%(c) 20% (d) 22 2 9%
A dishonest dealer uses a scale of 90 cm instead of a metre scale and claims to sell at cost price. His profit is:(a) 9% (b) 10%(c) 12% (d) None of these.
A dairyman pays ` 6.40 per litre of milk.He adds water and sells the mixture at ` 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customers is(a) 1:10 (b) 1:12(c) 1:15 (d) 1:20
By selling 12 toffees for a rupee, a man loses 20%. How many for a rupee should he sell to get a gain of 20%?(a) 5 (b) 8(c) 10 (d) 15
A man bought some fruits at the rate of 16 for ` 24 and sold them at the rate of 8 for` 18.What is the profit percent?(a) 25% (b) 40%(c) 50% (d) 60%(e) None of these.
On an order of 5 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of(a) 15% (b) 161/6%(c) 16⅔% (d) 20%
If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is(a) 20% loss (b) 20% gain(c) 25% loss (d) 25% gain
Profit earned by selling an article for` 1,060 is 20% more than the loss incurred by selling the article for ` 950.At what price should the article be sold to earn 20% profit?(a) ` 980 (b) ` 1,080(c) ` 1,800 (d) None of these
A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be:(a) 40 (b) 100(c) 120 (d) 140
A fruit seller sells mangoes at the rate of` 9 per kg and, thereby, loses 20%. At what price per kg, he should have sold them to make a profit of 5%?(a) ` 11.81 (b) ` 12(c) ` 12.25 (d) ` 12.31
A sells an article that costs him ` 400 to B at a profit of 20%. B, then, sells it to C, making a profit of 10% on the price he paid to A. What amount does C pays to B?(a) ` 472 (b) ` 476(c) ` 528 (d) ` 532
How many years would it take for a sum to grow from ` 1,250 to ` 10,000 if it is invested at 12.5% p.a. at SI?(a) 28 (b) 56(c) 48 (d) 70
Vinit invests ` 3,000 at the rate of 5% per annum. How much more should he invest at the rate of 8% per annum so that he earns a total of 6% per annum (consider Simple Interest)?(a) ` 1,000 (b) ` 1,200(c) ` 1,500 (d) ` 2,000
A sum of money placed at compound interest doubles itself in 3 years. In how many years will it amount to 8 times the original sum?(a) 6 years (b) 8 years(c) 9 years (d) 12 years
What is the compound interest at the rate of 10% for 3 years on that principal which in 3 years at rate of 10% p.a. yields ` 300 simple interest?(a) ` 310 (b) ` 331(c) ` 330 (d) None of these
The difference between SI and CI on a sum of money at the rate of 5% per annum for two years is ` 25.What is the principal?(a) ` 1,000 (b) ` 10,000(c) ` 5,000 (d) ` 2,500
The rates of simple interest in two banks A and B are in the ratio 5:4. A person wants to deposit his total savings in two banks in such a way that he receives equal half yearly interest from both. He should deposit the savings in banks A and B in the ratio:(a) 2:5 (b) 4:5 (c) 5:2 (d) 5:4
If The rate of inflation is 1,000%, then after two years from now, what will be the cost of an article, which costs ` 6 today?(a) 66 (b) 660(c) 36 (d) 726
Simple interest on a certain amount is 9/16 of the principal. If the numbers representing the rate of interest in per cent and time in years be equal, then time for which the principal is lent out, is:(a) 5½ years (b) 6½ years(c) 7 years (d) 7½ years
How much time will it take for an amount of ` 450 to yield ` 81 as interest at 4.5%per annum of simple interest?(a) 3.5 years (b) 4 years(c) 4.5 years (d) 5 years
The difference between the simple interest received from two different sources on` 1,500 for 3 years is ` 13.50. The difference between their rates of interest is:(a) 0.1% (b) 0.2%(c) 0.3% (d) 0.4%
Likhit earns x% on the first ` 2,000 and y% on the rest of his income. If he earns` 700 from ` 4,000 income and ` 900 from` 5,000 income, find x%.(a) 20% (b) 15%(c) 25% (d) None of these.
If a sum of money at simple interest doubles in 6 years, it will become 4 times in:(a) 12 years (b) 14 years(c) 16 years (d) 18 years
Likhit earns x% on the first ` 2,000 and y% on the rest of his income. If he earns` 700 from ` 4,000 income and ` 900 from` 5,000 income, find y%.(a) 20% (b) 15%(c) 25% (d) None of these.
The simple interest on ` 10 for 4 months at the rate of 3 paise per rupee per month is:(a) ` 1.20 (b) ` 1.60(c) ` 2.40 (d) ` 3.60
Ravi Shankar wishes to buy an AC with the money deposited in a bank. His deposited money is currently earning an interest of 15% p.a. (compounded annually). But his friend, Tanzar, forecasts that the inflation rate applicable to AC is going to be 14%, 15% and 16%, respectively, for the next 3
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?(a) 1:3 (b) 1:4(c) 2:3 (d) Data inadequate
A sum of money amounts to three times in 5 years at CI. In how many years will the same sum amount to nine times the original sum?(a) 10 (b) 15(c) 20 (d) 9
The simple interest on a certain sum of money at the rate of 5% p.a. for 8 years is ` 840.At what rate of interest the same amount of interest can be received on the same sum after 5 years?(a) 6% (b) 8%(c) 9% (d) 10%
A sum of money amounts to twice the actual sum in 5 years at SI. What is the rate of interest?(a) 10% (b) 12.5%(c) 20% (d) 25%
A certain amount earns simple interest of` 1,750 after 7 years. Had the interest been 2% more, how much interest would it have earned?(a) ` 35(b) ` 245(c) ` 350(d) Cannot be determined.
In an election, 10% of the voters on the voters’ list did not cast their votes, and 60 voters left their ballot papers blank. There were only two candidates. The winner was supported by 47% of all voters in the list and he received 308 votes more than his rival. The number of voters on the list
In an examination, a candidate who scores 30% of total marks failed by 100 marks.Another candidate scores 20 more marks than the marks necessary for passing and scores 36% marks of the total marks. What is the passing marks percentage?(a) 35% (b) 40%(c) 38% (d) 36%
Sona and Ellaraputtu are close friends.One day, they were figuring out about their incomes and expenses. It was found that income of Sona and Ellaraputtu is S and E. Sona spends 12% of her income;Ellaraputtu also spends the same amount.What percentage of her income Ellaraputtu is spending?(a)
In the recent census report of Patna, it was found that 40% of total male adult population and 55% of total female adult population is married. What percentage of total adult population of Patna is married?(Note: Polygamy is not in practice in Patna).(a) 46.32% (b) 43.6%(c) 49.81% (d) 40%
Salary of Anil and Vinit is 20% and 30%less than the salary of Dheeraj. By what percentage is the salary of Anil is more than the salary of Vinit?(a) 33.33% (b) 50%(c) 10% (d) 14.28%
In an examination, 80% students passed in Philosophy and 70% students passed in Maths. At the same time, 15% failed in both the subjects. If 390 students passed in both the subjects, then how many students appeared in the examination?(a) 500 (b) 400 (c) 800 (d) 600
Pranav saves 10% of his total salary.Next year if he increases his expenses by 20%, his percentage savings will remain unchanged. What will be the percentage increase in his salary, next year?(a) 10% (b) 20%(c) 40% (d) 16.66%
If the price of an article rose by 25% every odd year and fell by 20% every even year, what would be the percentage change after 180 years?(a) 10% increase (b) 25% increase(c) No change (d) 20% decrease
A fundraising program a party being organized by Babloo. 60% of the participants contributed 80% of the funds. The average contribution of all the people who attended is ` 50.What is the average contribution of the remaining 40% of the people?(a) ` 100 (b) ` 150(c) ` 250 (d) ` 25
A locomotive engine runs at a speed of 50 km/hr when no compartment is attached to it. For every new compartment that is attached to it, the speed of the train reduces by 10% of the earlier speed. At most how many compartments can be attached so that the train can cover a distance of 180 km at a
Raghupati Raghav was able to score a total of 600 in 12 tests. He scored less than or equal to 80% of his average score per test in four of these tests. If he did not score more than 60 in any of the tests, what is the minimum number of tests in which he should have scored more than 50?(a) 8 (b)
A and B have some guavas to distribute among themselves. A says to B, ‘If I give you 25% of the guavas I have, I will still have 2 more guavas than you.’ To this, B says, ‘If you give me guavas equal to 70%of what I have now, I will have 4 more guavas than you.’ What is the total number of
Out of 51,600 candidates who appeared in an examination, 35% failed, while 15%passed with honours. What is the number of candidates who passed the examination, but failed to obtain honours, assuming no failed student can obtain honours?(a) 25,000 (b) 30,000(c) 27,309 (d) 28,509
18% of A plus 15% of B plus 19% of C is equal to 17% of the sum of A, B, and C.If A – B = 500 and A – C = 3,400. What is the value of A + B + C?(a) 12,400 (b) 11,600(c) 13,500 (d) None of these.
A’s income is reduced from ` 75,000 to` 60,000, while B’s income for the same period is increased from ` 60,000 to` 75,000. What percentage of decrease in A’s income is the increase in B’s income?(a) 125% (b) 75%(c) 133% (d) 100%
Tatto’s working hours per day were increased by 25% and his wages per hour were increased by 20%. By how much per cent were his daily earnings increased?(a) 20% (b) 25%(c) 50% (d) 45%
Because of the budget presented by Yashwant Sinha, the price of sugar increased by 40%. The Verma family reduced its consumption so that expenditure on sugar is up by 12%. If the total consumption of sugar before the rise in price was 50 kg, what is the present consumption of sugar (in kg)?(a) 48
In the recently concluded CBSE Boards examination, a total of 6,00,000 students appeared. 40% of them were females while the rest were males. Pass percentage among males is 75% and the overall pass percentage is 70%. What is the pass percentage for females?(a) 37.5 % (b) 50%(c) 62.5% (d) 70%
Dataman Infosys systems is a Lucknowbased software company which is growing at a great pace. From a turnover of ` 50 crore in 1997 it doubled its turnover in 1998. Then it tripled its turnover in 1999 and grew by 50%in 2000. What is the turnover at the end of 2,000?(a) ` 250 cr (b) ` 450 cr(c) `
Rate of inflation is 1,000% per annum.What is the value of an article two years from now if it costs ` 6 today?(a) ` 66 (b) ` 126(c) ` 660 (d) ` 726
405 chocolates were distributed equally among students in such a way that the number of chocolates received by each student is 20% of the total number of students. How many chocolates did each student receive?(a) 9 (b) 15 (c) 18 (d) 45
A milk mixture contains 5% water. What quantity of pure milk should be added to 10 litres of this mixture to reduce the water concentration to 2%?(a) 5 litre (b) 7 litre (c) 15 litre (d) Cannot be determined
5% of income of A is equal to 15% of income of B and 10% of income of B is equal to 20% of income of C. If C’s income is ` 2,000, then the total income of A, B and C is:(a) ` 6,000 (b) ` 14,000(c) ` 18,000 (d) ` 20,000
Amar’s salary is 50% more than Barun’s.How much per cent is Barun’s salary less than Amar’s?(a) 33% (b) 33¼%(c) 33⅓% (d) 33½%
The present population of a country estimated to be 10 crores is expected to increase to 13.31 crores during the next three years. The uniform rate of growth per annum is:(a) 8% (b) 10%(c) 12.7% (d) 15%
Price of an article increases at the rate of 8% p.a. What will be the new price of a` 20 article two years later?(a) Between ` 24 and ` 25.(b) Between ` 21 and ` 22.(c) Between ` 22 and ` 23.(d) Between ` 23 and ` 24.
Entry fee in an exhibition was ` 10.Later, the entry fee was reduced by 25% which increased the sales by 20%. The percentage increase in the number of visitors is:(a) 54 (b) 57(c) 60 (d) 66
A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What was the original number?(a) 1,000 (b) 1,050(c) 1,500 (d) 2,000
In an examination, there are three papers and a candidate has to get 35% of the total to pass. In one paper, he gets 62 out of 150 and in the second 35 out of 150.How much must he get, out of 180, in the third paper to pass the examination?(a) 60.5 (b) 68 (c) 70 (d) 71
If A = x% of y and B = y% of x, then which of the following is true?(a) A is smaller than B.(b) A is greater than B.(c) Relationship between A and B cannot be determined.(d) A = B
If 8% of x = 4% of y, then 20% of x is:(a) 10% of y (b) 16% of y(c) 80% of y (d) None of these.
Dilip spends 30% of his monthly income on food articles, 40% of the remaining on conveyance and clothes and saves 50% of the remaining. If his monthly salary is ` 1,840, how much money does he save every month?(a) ` 362.4 (b) ` 386.4(c) ` 426.4 (d) ` 588.8
Subtracting 6% of x from x is equivalent to multiplying x by how much?(a) 0.094 (b) 0.94(c) 9.4 (d) 9.4
If x% of x is 49, then x is equal to:(a) 7 (b) 70(c) 700 (d) 4,900
1,100 boys and 700 girls are examined in a test. 42% of the boys and 30% of the girls pass. The percentage of the total who failed is:(a) 58% (b) 62⅔%(c) 64% (d) 78%
Two labourers A and B are paid a total of `550 per week. If A is paid 120 percentage of the sum paid to B, then how much is paid to B per week?(a) ` 200 (b) ` 250(c) ` 300 (d) None of these
In an election, only two candidates are contesting. The winner candidate receives 84% of the valid votes and is elected by a majority of 476 votes. What is the total number of valid votes?(a) 672 (b) 700 (c) 749 (d) 848
Three candidates contested an election and received 1,136, 7,636 and 11,628 votes,respectively. If these three persons were the only candidates contesting the election, what percentage of the total valid votes did the winning candidate received?(a) 57% (b) 60%(c) 65% (d) 90%
If 35% of a number is 12 less than 50% of that number, then the number is:(a) 40 (b) 50(c) 60 (d) 80
Difference between a number and its 2/5th is 510.What is 10% of that number?(a) 12.75% (b) 85(c) 204 (d) None of these.
What is the remainder, when (3313 + 3613 +3913 + 4213 + 4513 + 4813 + 5113) is divided by 147?(a) 0 (b) 2(c) 49 (d) 6
A large number of apples = 200920092009 is distributed among few groups. Every group receives 42 apples, except for group X.What is the number of group X receives?(a) 0 (b) 14(c) 21 (c) 35
The sum and difference of the LCM and the HCF of two numbers are 312 and 264.Find out the value of the numbers if their sum is 168.(a) 96, 72 (b) 76, 92(c) 108, 66 (d) 88, 80 where n is a natural number.What is the remainder when n is divided by 13?(a) 0 (b) 3(c) 6 (c) 7
An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest is(a) 10.30 a.m. (b) 10.31 a.m.(c) 10.59 am. (d) 11 a.m.
HCF of 3240, 3600 and a third number N is 36.Their LCM is 24 × 35 × 52 × 72.Find out the value of N.(a) 24 × 53 × 72 (b) 22 × 35(b) 35 × 72 (d) None of these.
The LCM of two natural numbers is 4800.Their HCF is 160.If one of the numbers is 480, what is the second number?(a) 16 (b) 16000(c) 160 (d) 1600
What is the least number of square tiles required to pave the ceiling of a room which is 15 m 17 cm long and 9 m 2 cm broad?(a) 656 (b) 738(c) 814 (d) 902
What is the size of the largest square slabs which can be paved on the floor of a room 5 metres 44 cm long and 3 metres 74 cm wide?(a) 56 (b) 42(c) 38 (d) 34
LCM of 1224, 1618 and N is 2424. Number of all the possible values of N = S. What is the value of S?(a) 25 (b) 1800(c) 1825 (d) 1600
P is a natural number (3 < P < 500). How many P’s are there so that HCF of P and 100 is 1?(a) 200 (b) 198(c) 150 (d) 197
A natural number has total 19 composite factors. How many values of prime factors of N are possible?(a) 1 (b) 2(c) 3 (d) 4
If a is the smallest positive integer that is a multiple of 147 and has exactly 147 positive integral divisors, including 1 and itself, the value of a 147 is(a) 36 × 25 (b) 24 × 36(c) 26 × 35 (d) 34 × 26
An Army General wants to place soldiers into a formation that includes all of them, and has no unfilled positions. If soldiers are arranged in a square formation, there are 12 excess soldiers. The General realizes that if he arranges the group in a formation with 9 more rows than columns, there are
If n = 229 × 317, then how many positive integer divisors of n2 are less than n, but do not divide n?(a) 39 (b) 493(c) 439 (d) 593
N is a natural number greater than 1 and less than 100.F1, F2, F3,…Fn are the factors of N in such a way that 1 = F1 < F2 < F3 < … Fn = N.Further, D = F1 ⋅ F2 + F2 ⋅ F3 + … + F(n − 1) ⋅ Fn If D is a factor of N2, then how many values of N will be there?(a) 0 (b) 10 (c) 24 (d) 25
What is the sum of all the prime factors of(summation of cubes of 1st 2020 natural numbers)?(a) 197 (b) 198(c) 151 (d) None of these.
For how many natural numbers N is less than 12, N! + N + 1! Will be divisible by 72?(a) 5 (b) 6(c) 7 (d) 8
I have to pack some apples into some boxes. If I pack 3, or 4 or 5 or 6 apples in a box, I am left with one apple in each of the cases. However, if I pack 7 apples in a box, I am left with none. What is the minimum number of apples that I have?(a) 301 (b) 601(c) 61 (d) 436

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