A's income is Rs. 140 more than B's income ans C's income is Rs. 80 more than D's income. If the ratio of A's and C's income is 2 : 3 and the ratio of B's and D's income is 1 : 2, then the incomes of A, B, C and D are respectively = ?

Solution(By Examveda Team)

A : C = 2 : 3 or 2x : 3x
B : D = 1 : 2 or y : 2y
According to the question,
2x - 140 = y......(i)
3x- 80 = 2y.......(ii)
multiply equation (i) by 2 and solved
$$\eqalign{ & 4x - 280 = 2y \cr & \underline { \pm 3x \mp 80 = \pm 2y} \cr & x - 200 = 0 \cr & x = 200 \cr} $$
Now put the value of x in equation .... (i)
2 × 200 - 140 = y
$$\boxed{y = 260}$$
A's salary = 2x = 200 × 2 = Rs. 400
B's salary = y = 260 × 1 = Rs. 260
C's salary = 2x = 3 × 200 = Rs. 600
D's salary = 2y = 2 × 260 = Rs. 520