Which results in a lower total interest$$ charge, borrowing

$$$$1$ comma $7801,780$

to be repaid $12$ months later as a$$ single$-$payment loan or borrowing

$$$$1$ comma $7801,780$

to be repaid as a$12-$month installment$$ loan? Assume a simple interest method of calculation at

$12\mathrm{.}2512\mathrm{.}25$

percent interest. Defend your answer.$$