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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
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- Rs. 260, Rs. 120, Rs. 320 and Rs. 240
- Rs. 300, Rs. 160, Rs. 600 and Rs. 520
- Rs. 400, Rs. 260, Rs. 600 and Rs. 520
- 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
