Multiple choice

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

  1. Rs. 260, Rs. 120, Rs. 320 and Rs. 240

  2. Rs. 300, Rs. 160, Rs. 600 and Rs. 520

  3. Rs. 400, Rs. 260, Rs. 600 and Rs. 520

  4. Rs. 320, Rs. 180, Rs. 480 and Rs. 360
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A = B + 140 and C = D + 80. Given A/C = 2/3 and B/D = 1/2 (so D = 2B). Substituting into the A/C ratio: (B + 140) / (2B + 80) = 2/3. Solving for B: 3B + 420 = 4B + 160, so B = 260. Then A = 400, D = 520, and C = 600.

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