Multiple choice

The amounts deposited by Mr. Harpreet and Mr. Gagan are in the ratio 7 : 9, respectively. The total amount deposited is Rs. 72,000. After some time, Mr. Harpreet withdraws Rs. 7,500. Find the money withdrawn by Mr. Gagan so that the new ratio of their deposits becomes 4 : 5.

  1. Rs. 10,500

  2. Rs. 12,500

  3. Rs. 9,500

  4. Rs. 10,000

  5. Rs. 6,000
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A Correct answer
AI explanation

Using the initial ratio of 7 : 9 and the total deposit of Rs. 72,000, Mr. Harpreet's deposit is 72000 times 7 divided by 16, equaling Rs. 31,500, and Mr. Gagan's deposit is Rs. 40,500. After Mr. Harpreet withdraws Rs. 7,500, his new balance becomes 31500 minus 7500, which is Rs. 24,000. Let the amount withdrawn by Mr. Gagan be y, making his new balance 40500 minus y, and establish the equation 24000 divided by the quantity 40500 minus y equals 4 divided by 5. Solving this equation gives 120000 equals 162000 minus 4y, which means 4y equals 42000, so y equals Rs. 10,500.

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