Multiple choice

Randy and Sammy deposit money in bank in the ratio 2 : 3 for same period and same rate. The interest obtained by each is Rs. 2,000 and the ratio of amount becomes 38 : 55. Find Sammy's balance amount in the bank.

  1. Rs. 19,000

  2. Rs. 27,500

  3. Rs. 29,000

  4. Rs. 33,500

  5. Rs. 40,500
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B Correct answer
AI explanation

Let Randy and Sammy's initial deposits be 2x and 3x, and since both earn Rs. 2,000 in interest, their final amounts become 2x + 2000 and 3x + 2000. The ratio of these final amounts is given as 38:55, so we set up the equation (2x + 2000) / (3x + 2000) = 38/55. Cross-multiplying gives 110x + 110000 = 114x + 76000, which simplifies to 4x = 34000, meaning x = 8500. Sammy's balance is her initial amount (3 * 8500 = 25500) plus her interest of 2000, totaling Rs. 27,500.

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