Question

71 A Sum of
A sum of money become Rs 85,680
after
3
and Rs. 53,520 after by at
certain rate of P.a int compounded
annually. wt is the cI
on the
Same same in the first case
(your answer should be nearest to
Integer
RS. 108u L​

Answer 1

Answer:

Compound Interest = 11893 rupees

Step-by-step explanation:

Correct question: A sum of money becomes Rs 35680 after 3 years and Rs 53520 after 6 years at a certain rate percentage p.a., the interest compounded yearly. What is the compound interest on the same sum in the first case?(Your answer should be nearest to an integer)

We know the formula,

$A = P(1+(\frac{R}{100})^t$

Put the values,

$35680 = P(1+(\frac{R}{100})^3$ -----(1)

$53520 = P(1+(\frac{R}{100})^6$ -----(2)

$\frac{(1)}{(2)}$

⇒ $1.5 = (1+(\frac{R}{100})^3$

⇒ $R = [(1.5)^(\frac{1}{3})-1}\times 100$

Put the value in (1),

35680 = p × 1.5

⇒ $p = \frac{356800}{15}$

∴ Compound Interest =  $35680-\frac{356800}{15}$

⇒ Compound Interest = 35680 - 23786.66

⇒ Compound Interest = 11893.34 rupees = 11893 rupees