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 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
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. Rs. 400, Rs. 260, Rs. 600 and Rs. 520
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Understanding |
Application |
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Ratio of A's and C's income is 2 : 3.
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Suppose A’s income = 2x And C’s income = 3x |
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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. |
Hence, B’s income = (2x – 140) D’s income = (3x – 80) |
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Ratio of B's and D's income is 1 : 2. |
(2x – 140) : (3x – 80) = 1 : 2 ⇒ 4x – 280 = 3x – 80 ⇒ x = 280 – 80 ⇒ x = 200 |
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Hence, A’s income = Rs. 400 B’s income = 400 – 14 = Rs. 260 C’s income = Rs. 600 D’s income = 600 – 80 = Rs. 520 |