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Q.

A sum of money at simple interest amounts to Rs.815 in 3 years and to Rs.854 in 4 years. Find the sum.

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a

Rs.658

b

Rs.698

c

Rs.798

d

Rs.758  

answer is A.

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Detailed Solution

Given that a sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years.
Amount after 4 years = Amount after 3 years + Simple interest in 1 year
Simple interest in one year=Amount in 1 year-Principal
∴ Simple interest in one year=Rs.(854-815) ⇒Simple interest in one year=Rs. 39 So,
Simple interest for 3 years=39×3 ⇒Simple interest for 3 years=Rs. 117 We know,
Sum=Amount-Interest
⇒Sum=Rs.(815-117)  ⇒Sum=Rs. 698 Thus, the sum is Rs. 698.
Therefore, the correct option is 1.
 
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