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Raj had a total of 24000 rupees. He invested one-third of his share at the rate of 12 percent per annum simple interest for 2 years. He invested 20 percent of the remaining amount at the rate of 10 percent per annum compound interest for 3 years and deposited the remaining amount at 15 percent per annum in a fixed deposit (compound interest) of a bank for 2 years. Find the total interest received by him.Question 23Answera.Rs. 7021.6b.Rs. 7107.2c.Rs. 7607.2d.Rs. 7461.6

Question

Raj had a total of 24000 rupees. He invested one-third of his share at the rate of 12 percent per annum simple interest for 2 years. He invested 20 percent of the remaining amount at the rate of 10 percent per annum compound interest for 3 years and deposited the remaining amount at 15 percent per annum in a fixed deposit (compound interest) of a bank for 2 years. Find the total interest received by him.Question 23Answera.Rs. 7021.6b.Rs. 7107.2c.Rs. 7607.2d.Rs. 7461.6

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Solution

First, let's break down the investments Raj made:

  1. He invested one-third of his total amount (24000 rupees) at a rate of 12 percent per annum simple interest for 2 years.

  2. He invested 20 percent of the remaining amount at a rate of 10 percent per annum compound interest for 3 years.

  3. He deposited the remaining amount at 15 percent per annum in a fixed deposit (compound interest) of a bank for 2 years.

Let's calculate the interest for each investment:

  1. Simple Interest = (Principal * Rate * Time) / 100 = (24000 * 1/3 * 12 * 2) / 100 = 1920 rupees

  2. Compound Interest = Principal * (1 + Rate/100)^(Time) - Principal = 24000 * 2/3 * 20/100 * (1 + 10/100)^3 - 24000 * 2/3 * 20/100 = 1464.8 rupees

  3. Compound Interest = Principal * (1 + Rate/100)^(Time) - Principal = 24000 * 2/3 * 80/100 * (1 + 15/100)^2 - 24000 * 2/3 * 80/100 = 5222.4 rupees

The total interest received by Raj is the sum of the interests from the three investments:

Total Interest = 1920 + 1464.8 + 5222.4 = 8607.2 rupees

So, the answer is not in the options given. There might be a mistake in the question or the options.

This problem has been solved

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