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Question

Ram Lal invested a certain amount for three years, under compound interest compounded annually and received Rs.17820. If he had invested the same amount for six years at the same rate of interest compounded annually, he would have received Rs.49410. The amount (to the nearest integer in Rs.) he invested is___

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Solution

Let the sum be P and the interest rate be r.

Then after ‘n’ years A=P(1+r100)n=PRn where R=1+r100

Now, 17820=PR3 , 49410=PR6

R3=4941017820

So, P=17820×1782049410 = Rs.6427


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