$($Maximum marks: $11)$

Give your answers to parts $($b$),($c$)$ and $($d$)$ to the nearest whole number.

Harinder has $14000$ US Dollars $($USD$)$ to invest for a period of five years. He has two

options of how to invest the money.

Option A: Invest the full amount, in USD, in a fixed deposit account in an American

bank.

The account pays a nominal annual interest rate of $r\%,$ compounded yearly, for the

five years. The bank manager says that this will give Harinder a return of $17500$ USD.

$($a$)$

Calculate the value of $r.$

Option B: Invest the full amount, in Indian Rupees $($INR$),$ in a fixed deposit account in

an Indian bank. The money must be converted from USD to INR before it is invested.

The exchange rate is $1$ USD $=66\mathrm{.}91$ INR.

$($b$)$

Calculate $14000$ USD in INR.

The account in the Indian bank pays a nominal annual interest rate of $5\mathrm{.}2\%$

compounded monthly.

$($c$)$

Calculate the amount of this investment, in INR, in this account after five years.

$($d$)$

Harinder chose option B$.$ At the end of five years, Harinder converted this investment

back to USD. The exchange rate, at that time, was $1$ USD $=67\mathrm{.}16$INR.

instead of option A$.$