Multiple choice

Sum of Rs. 4687 is divided into 2 parts in such a way that interest on one part at 6% for 9 years is equal to that on another at 5% for 2 years more than the first part. Then, amount lent at 5% is

  1. Rs. 2367

  2. Rs. 2322

  3. Rs. 2546

  4. Rs. 2365

  5. Rs. 2584
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the first part, 4687-x be the second. Interest: x * 0.06 * 9 = (4687-x) * 0.05 * 11. 0.54x = 0.55 * (4687-x). 0.54x = 2577.85 - 0.55x. 1.09x = 2577.85. x = 2365. The other part is 4687 - 2365 = 2322.

AI explanation

Let the first part be x and the second part be (4687 - x); the given condition establishes that (x * 6 * 9) / 100 equals ((4687 - x) * 5 * 11) / 100. This simplifies to 54x = 257785 - 55x, so 109x = 257785, which means x is approximately 2365. Since x is the amount lent at 6 percent, the amount lent at 5 percent is 4687 - 2365, which equals Rs. 2322.

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