Question

A sum amount to Rs.9680 in 2 year and to Rs.10648 in 3 year compounded annually. Then, the sum and rate of interest respectively are:


(a) Rs.8000, 10%
(b) Rs.8500, 10%
(c) Rs.8500, 9%
(d) Rs.8000, 9%

Wrong answer will be reported......please give correct answer........​

Answer 1

Answer:

Let the sum be Rs. P and rate of interest be R% per annum. Then,

P(1+R/100)² = 9680 .........(1)

P(1+R/100)³ = 10648 ......(2)

On dividing equation (2) by (1) :

1+R/100= {10648}/{9680}

{R}/{100} = {10648}/{9680} - 1

{R}/{100} ={10648 - 9680}/{9680}

{R}/{100} = {968}/{9680} ={1}/{10}

=> R = {1}/{10}×100 = 10%

From eq. 1

P=9680/(1+10/100)²

P=9860/(1+0.1)²

9860/1+0.01+0.2

9860/1.21

approx 8000

option a is correct

Answer 2

Answer:

Priya

Step-by-step explanation:

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