Question

Tom took a loan of Rs25600to purchase a motor cycle . find the amount and C.I. he has to pay after 9months . if the rate of interest is 10%per annum reckoned quarterly.

Answer 1

$<b><u><i>Hey mate!! Here's your answer</i></u></b>$
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$\huge{Given}$

Tom took a loan of 25,600 Rs. to purchase a motor cycle. Rate of interest is 10% p.a.

$\huge{To\: find}$

The amount and compound interest after 9 months.

$\huge{Solution}$

Principal amount (P) =25,600 Rs.

Time (n)
= 9 months
= 9 × 4/12
= 9 ÷ 3
= 3 quarters

Rate of interest (R)
= 10% p.a.
= 10 × 1/4 %
= 10 ÷ 4
= 2.5% per quarter

Now, using the formula, Amount (A)

$= P(1 + \frac{r}{100} ) ^{n}$

$= 25600(1 + \frac{2.5}{100} ) ^{3}$

$= 25600(1 + \frac{25}{1000} ) ^{3}$

$= 25600( \frac{1000 + 25}{1000} ) ^{3}$

$= 25600( \frac{1025}{1000} ) ^{3}$

$= 25600 \times \frac{1025}{1000} \times \frac{1025}{1000} \times \frac{1025}{1000}$

$= \frac{27568400000000}{1000000000}$

$= 27568.4$

Hence, A = 27568.4 Rs

Now,

Compound interest (C.I.)
= A - P
= 27568.4 - 25600
= 1968.4

So, finally, your answers are
$\boxed{\mathcal{\red{Amount\: = \: 27568.4}}}$
$\boxed{\mathcal{\pink{Compound \: interest \: = \: 1968.4}}}$
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$\huge{\mathcal{\bold{\green{Thank\: you}}}}$