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A certain sum of money amounts to Rs. 1250 in 3 years and Rs. 1600 in 8 years at simple interest. Find the sum.
Question

A certain sum of money amounts to Rs. 1250 in 3 years and Rs. 1600 in 8 years at simple interest. Find the sum.

A.

1100

B.

1040

C.

1050

D.

1024

Correct option is B

Given:
The sum of money amounts to Rs. 1250 in 3 years and Rs. 1600 in 8 years.
Formula Used:
Amount = Principal (Sum) + Interest
Solution:
Time = 8 - 3= 5 years
Interest in 5 years = (1600 - 1250) = 350
=> Interest in 1 year =  3505\frac{350}{5}​ = Rs. 70
=> Interest in 3 years =  (3 × 70) = Rs. 210
Required sum = 1250 - 210 = 1040
∴ The sum is Rs. 1040.

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