1.

A mother and her two sons got a room constructed for Rs.60,000. The Elder son contributes 3/8 of his mother's contribution while the younger son contributes 1/2 of his mother's share .How much do the three contribute individually?

Answer»

Let the SHARE of MOTHER be x



Hence, share of elder son = 3/8 of x


share of younger son = 1/2 of x





Given, total share = 60000



share of mother + share of elder son + share of younger son = 60000




=> x + ( 3 / 8 of x ) + ( 1 / 2 of x ) = 60000



=> x + ( 3x / 8 ) + ( x / 2 ) = 60000



=> ( 8x + 3x + 4X ) = 480000


=> 15x = 480000


=> x = 32000





Hence,


Share of mother = x = RS 32000

share of elder son = 3x / 8 = 3(32000)/8 = Rs12000

Share of younger son = 32000/2 = 16000



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