Multiple choice

Amreek invested Rs. x for 2 years at compound interest at 5% p.a. He further invested the amount that he received by investing Rs. x for 2 more years on simple interest at 20% p.a, and eventually received Rs. 46,305. Find the value of x.

  1. Rs. 30,000

  2. Rs. 33,000

  3. Rs. 40,000

  4. Rs. 45,000

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Amount after 2 years CI = x(1.05)^2 = 1.1025x. Interest on this for 2 years SI at 20% = 1.1025x * 0.2 * 2 = 0.441x. Total = 1.1025x + 0.441x = 1.5435x = 46305. x = 30000.

AI explanation

Using the compound interest formula for the first two years, the amount becomes x multiplied by 1.05 squared, which is 1.1025x. Investing this amount at 20 percent simple interest for two more years yields a total multiplier of 1.4, so the final amount is 1.1025x multiplied by 1.4, equaling 1.5435x. Setting this equal to the final receipt gives 1.5435x equals 46305. Solving for x yields x equals 30000.

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