Question

the CI on a sum in 8 year is Rs.400 and CI on the same sum in 16 years is Rs.1300 find CI on tha some sum in 20 years​

Answer 1

Answer:

1700 ___20Years's17000

Answer 2

The CI on the same sum is Rs 2110

Step-by-step explanation:

The CI on a sum in 8 year is Rs 400

• Compound Interest, CI = Rs 400

• Principal, P = p

• Time, t = 8 years

• Rate of interest, r = r

$CI=p(1+r)^t-p$

$400=P[(1+r)^8-1]$  ----------------- (1)

The CI on same sum in 16 years is Rs 1300

• Compound Interest, CI = Rs 1300

• Principal, P = p

• Time, t = 16 years

• Rate of interest, r = r

$CI=p(1+r)^t-p$

$1300=P[(1+r)^{16}-1]$  ----------------- (2)

Divide eq(2) by eq(1)

$\dfrac{1300}{400}=\dfrac{(1+r)^{16}-1}{(1+r)^{8}-1}$

Solve for r

$r=10.67\%$

Put r in equation 1

$400=P[(1+0.1067)^8-1]$

$P=\dfrac{400}{(1+0.1067)^8-1}$

$P\approx 320$

Put P = 320, r = 0.1067, t = 20 into CI formula

$CI=320[(1+0.1067)^{20}-1]$

$CI=2110$

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