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
1). Rs.20,000
2). Rs.20.050
3). Rs.22.000
4). Rs.22.050
.Amount given to sons
= $84100\times\frac{1}{2}$ = 42050
Amount given to B = x (let)
Amount given to A
= (42050 – x)
A = P $(1+\frac{(R)^{T}}{100})$
(42050 – x ) $(1+\frac{(R)^{3}}{100})$
42050 = $\frac{441x+400x}{400}$
841 x = 42050 × 400
= Rs20,000