A man gave `50%` of his savings of `RS. 84,100` to his wife and divided the remaining sum among his two sons A and B of 15 and 13 years of age respectively. He divided it in such a way that each of his sons, when they attain the age of 18 years, would receive the same amount at `5%` compound interest per annum. The share of B was

Options

A. ₹20,000
B. ₹ 20,050
C. ₹22,000
D. ₹22,050

Answer

A

Explanation

शेष राशि = `84100 xx 50/100 = ₹ 42050`
माना कि B का हिस्सा ₹x है।
`therefore` A का हिस्सा = ₹ 42050 - x
`(42050 - x) (1 + r/100)^3 = x xx (1 + r/100)^5`
`implies (42050 - x) = x xx (1 + 5/100)^2`
`implies 42050 - x = (441 x)/(400)`
`implies 42050 xx 400 = 841 x`
`implies x = (42050 xx 400)/(841)`
`implies x = ₹20000 `