Multiple choice

The ratio between income of P and Q is 15:17 .when P gives rs 2000 to Q then ratio becomes 7 : 9 .find the total income of P and Q.

  1. 32000

  2. 64000

  3. 48000

  4. 46000

  5. 120000
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B Correct answer
Explanation

Let P's income = 15x and Q's income = 17x. When P gives Rs 2000 to Q, P's income becomes 15x - 2000 and Q's becomes 17x + 2000. The new ratio is 7:9, so (15x - 2000)/(17x + 2000) = 7/9. Cross-multiplying: 9(15x - 2000) = 7(17x + 2000), which gives 135x - 18000 = 119x + 14000. Solving: 16x = 32000, so x = 2000. Total income = 15x + 17x = 32x = 32 × 2000 = 64000.

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