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A woman wants to give Rs 32,800 to her two grandchildren aged 17 years and 18 years. The amount is to be divided such that each grandchild receives equal amounts when they turn 20 years old, at 5% p.a. compound interest. Find the present share of the younger grandchild.

Solution

Correct Option: 3

Let younger's present share = x, elder's = 32800x32800 - x.

Younger (17) grows for 3 years, elder (18) for 2 years. Both equal at age 20.

x(1.05)3=(32800x)(1.05)2x(1.05)^3 = (32800-x)(1.05)^2

1.05x=32800x1.05x = 32800 - x

2.05x=328002.05x = 32800

x=16000x = 16000 rupees.

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