A’s income is Rs. 140 more than B’s income and C’s

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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 are respectively

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

Correct Option: C

Let A‘s income be Rs. 2x.
∴ B’s income = Rs. (2x – 140)
C’s income = Rs. 3x
∴ D’s income = Rs. (3x – 80)
According to the question,
B : D = 1 : 2
∴ 2 (2x – 140) = 3x – 80
⇒ 4x – 280 = 3x – 80
⇒ 4x – 3x = 280 – 80
⇒ x = Rs. 200
∴ A’s income = Rs. (2 × 200) =
Rs. 400
B’s income = Rs. (400 – 140)
= Rs. 260
C’s income = Rs. (3 × 200)
= Rs. 600
D’s income = Rs. (600 – 80)
= Rs. 520