Question

A MAN DIVIDES RS. 8600 AMONG 5 SONS, 4 DAUGHTERS AND 2 NEPHEWS. IF EACH DAUGHTER RECEIVES 4 TIMES AS MUCH AS EACH NEPHEW. AND EACH SON RECEIVES 5 TIMES AS MUCH AS THE NEPHEW.
HOW MUCH EACH DAUGHTER RECEIVE?

Answer 1

Solution:

Let amount of money received by each nephew be m

Then total money given to nephews = 2m

Amount of money given to each daughter = 4m.

Total money given to daughters = 4m × 4

= 16m

Amount of money given to each son = 5m.

Total money given to sons = 5m × 5

= 25m

Total money = 2m + 16m + 25m = 43m

⇒ We have, 43m = 8600

⇒ m = 8600 / 43

⇒ m = 200

Hence amount of money received by each daughter = 4m

= 4 × 200

= 800