Question

find the compound interest on rupees 15,625 for 9 months at 16 % per annum , compounded quarterly. ​

Answer 1

C

Rs. 1951

Principal=15625 Rs.

Time=9 months=3 Quarters

Rate of interest=16 %=4% per quarter

Amount=15625×(1+

100

4

)

3

⇒15725×

100

104

×

100

104

×

100

104

⇒15725×

100

24

×

100

24

×

100

24

⇒17567Rs.

C.I.=17567−15625=1951Rs.

Answer 2

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find the compound interest on rupees 15,625 for 9 months at 16 % per annum , compounded quarterly.

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Here, Principal (P) = 15625

Rate (r) = 16% per quarter

Time (n) = 9 months = 3 quarters

$\sf \: \: Now,\: Amount, \: (a) = P \: (1 + \dfrac{r}{100}) {}^{n}$

$\sf = 15625 \: (1 + \dfrac{4}{100} ) {}^{3}$

$\sf = 15625 \: (1 + \dfrac{1}{25} ) ^{3}$

$\sf \: = 15625 \: ( \dfrac{26}{25} ) ^{3}$

$\sf \: = 15625 \times \dfrac{26} {25} \times \dfrac{26}{25} \times \dfrac{26}{25}$

$\sf= 26 \times 26 \times 26 = 17576$

$\sf \: since, \: compound \: interest \: = \: amount - principal$

$\sf{ \red {C.I. = 17576 - 15625 = 1951}}$

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