Discussion of Question with ID = 021 under Compound-Interest

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Question

Rs. 1442 is divided into parts such that the compound amount on first part after 2 years is same as that for the other part after 3 years. What is the first part if the rate of interest in both the cases is 6%?

A

Rs. 742.

B

Rs. 842.

C

Rs. 642.

D

Rs. 942.

Soln.
Ans: a

Let the parts P and (1442 - P). We have P × $(1 + 6/100)^2$ = (1442 - P) × $(1 + 6/100)^3$. Cancelling, we get P = (1442 - P) × (1 + 6/100). Simplifying, P = ${1442 × (100 + 6)}/(200 + 6)$, which gives P = Rs. 742.


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