A sum of Rs. 12,500 is distributed among A, B, C and D such that A gets Rs. 800 more than what B gets, C gets twice of what B gets and D gets Rs. 900 more than what A gets. The ratio in which D, C, B and A receive the sums is:
A sum of Rs. 12,500 is distributed among A, B, C and D such that A gets Rs. 800 more than what B gets, C gets twice of what B gets and D gets Rs. 900 more than what A gets. The ratio in which D, C, B and A receive the sums is: Correct Answer 37 : 40 : 20 : 28
Let amount B gets be Rs. x, then
Amount of C = 2 × x = 2x
Amount of A = x + 800
Amount of D = x + 800 + 900 = x + 1700
According to the question
x + 800 + x + 2x + x + 1700 = 12,500
5x + 2500 = 12,500
5x = 12500 – 2500
5x = 10000
x = 10000/5
x = 2000
Amount received by A = 2000 + 800 = 2800
Amount received by B = 2000
Amount received by C = 2 × 2000 = 4000
Amount received by D = 2000 + 1700 = 3700
Ratio of amount of D, C, B and A = 3700 : 4000 : 2000 : 2800 = 37 : 40 : 20 : 28
Quick Hint:
As given C is more than B, so only option 1 and 4 might be correct.
As given D is more than A, so only option 4 must be correct.