Multiple choice

Salaries of P and Q are in the ratio of 19:16 respectively. If the salary of P increases by 1000 rs and the salary of Q decreases by 2500rs , then the ratio of their new salaries becomes 78:59 , then find the salary of Q before the change in the salaries.

  1. 32000

  2. 30000

  3. 24000

  4. None of these

  5. Can not determind
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A Correct answer
Explanation

Let the original salaries be 19k and 16k. Using the new ratio, (19k + 1000)/(16k - 2500) = 78/59, which gives k = 2000. Hence Q's original salary was 16 x 2000 = 32000 rupees.

AI explanation

Let the initial salaries of P and Q be 19x and 16x respectively. After the changes, P's new salary is 19x + 1000 and Q's new salary is 16x - 2500, making their new ratio (19x + 1000) / (16x - 2500) = 78 / 59. Cross-multiplying gives 59 times (19x + 1000) equals 78 times (16x - 2500), which expands to 1121x + 59000 = 1248x - 195000. Solving for x, we get 127x = 254000, so x equals 2000. Q's initial salary was 16x, which is 16 times 2000, equaling Rs. 32,000.

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