8. A man divides Rs.8600 among 5 sons,4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five times as much as each nephew, how much does each daughter receive?
Answer :
Let the share of each nephew be Rs.x
Then, share of each daughter = Rs.(4x); share of each son = Rs.(5x).
So, 5 * 5x + 4 * 4x + 2 * x = 8600
=> 25x + 16x + 2x = 8600 => 43x = 8600
=> x = 200. Therefore, Share of each daughter = Rs. (4 * 200) = Rs.800
