Let younger's present share = x, elder's = 32800−x.
Younger (17) grows for 3 years, elder (18) for 2 years. Both equal at age 20.
x(1.05)3=(32800−x)(1.05)2
1.05x=32800−x
2.05x=32800
x=16000 rupees.
CUET UG 2023 — General Test Arithmetic
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.
Held on 19 Jun 2023 · Verified 13 Jul 2026.
Rs 12,800
Rs 16,400
Rs 16,000
Rs 8,400
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