It was intended that Rs. 585 be divided among P, Q and R in the ratio of 4 : 3 : 2, but bymistake the distribution was made in the proportion of 1/4 : 1/3 : 1/2. How much does 'R' gain bythe error?
A)rs. 99
B)rs. 126
C)rs. 140
D)rs. 152

Question

Quizplus · Accepted Answer

The intended ratio for P, Q, and R is 4:3:2, which means the total parts are 4+3+2 = 9 parts. The correct distribution for R would be (2/9) of Rs. 585 = (2/9)*585 = Rs. 130. The mistaken ratio is 1/4:1/3:1/2. To compare these, find a common denominator, which is 12, making the ratios 3:4:6. The total parts in the mistaken ratio are 3+4+6 = 13 parts. R's mistaken share is (6/13) of Rs. 585 = (6/13)*585 = Rs. 270. R's gain by the error is Rs. 270 - Rs. 130 = Rs. 140.

It Was Intended That Rs