A man has 3 sons, 2 daughters and a wife. They divided a sum of Rs 19000 among themselves such that each daughter got 1.5 times the amount… — Answer & Discussion

A man has 3 sons, 2 daughters and a wife. They divided a sum of Rs 19000 among themselves such that each daughter got 1.5 times the amount received by each son and his wife received 600 less than each son. What is the total amount (in Rs) received by the 3 sons together?

A2800
B3600
C5600
D8400

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CCommunity26 Jan 2018

Hello, 8400 is correct

CCommunity14 Oct 2020

Let amount received by 3 sons as x, then amount received by 2 daughters will be 1.5 times the amount received by each son i.e., 1.5x and amount received by wife is 600 less than each son i.e. x - 600.

x + x + x + 1.5x + 1.5x + x - 600 = 19000

3x + 3x + x - 600 = 19000

7x - 600 = 19000

7x = 19600

x = 2800

Amount received by three sons = 3x = (2800) = Rs.8400.