# Divide Rs. 1301 between A and B, so that amount of A after 7 years is equal to the amount of B after 9 years at 4% per annum compounded annually. What

21 views
in Aptitude
closed
Divide Rs. 1301 between A and B, so that amount of A after 7 years is equal to the amount of B after 9 years at 4% per annum compounded annually. What was the sum of A and B initially?
1. Rs. 255 and Rs. 356
2. Rs. 426 and Rs. 455
3. Rs. 365 and Rs. 305
4. Rs. 281 and Rs. 260
5. Rs. 676 and Rs. 625

by (30.0k points)
selected by

Correct Answer - Option 5 : Rs. 676 and Rs. 625

Given:

Total sum = Rs. 1301

Amount of A after 7 years = Amount of B after 9 years

Rate of Interest = 4% per annum

Concept Used:

C.I = P [{1 + (R/100)}n - 1]

R = Rate of Interest

T = Time

Calculation:

Let the sum of A and B be Rs. x and Rs. (1301 - x) respectively.

x{1 + (4/100)}7= (1301 - x){1 + (4/100)}9

⇒ x/(1301 - x) = {1 + (4/100)}2

⇒ x/(1301 - x) = (26/25)2

⇒ 625x = 676(1301 - x)

⇒ 1301x = 676 × 1301

Sum of A = x = 676.

Sum of B = (1301 - x) = 1301 - 676

⇒ Sum of B = 625.

∴ The sum of A and B initially was Rs. 676 and Rs. 625.