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Select the correct answerSiva lent Rs. 6000 to Prasad for 2 years and Rs. 1500 to Gopi for 4 years at same rate of interest and received altogether from both Rs. 900 as simple interest. The rate of interest is:

Question

Select the correct answerSiva lent Rs. 6000 to Prasad for 2 years and Rs. 1500 to Gopi for 4 years at same rate of interest and received altogether from both Rs. 900 as simple interest. The rate of interest is:

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Solution

To solve this problem, we need to use the formula for simple interest, which is I = PRT/100, where I is the interest, P is the principal amount, R is the rate of interest, and T is the time in years.

From the problem, we know that Siva received a total of Rs. 900 as interest from both Prasad and Gopi. We can set up two equations based on the information given:

For Prasad: I = PRT/100 becomes 6000R2/100 = Interest from Prasad For Gopi: I = PRT/100 becomes 1500R4/100 = Interest from Gopi

We know that the total interest from both is Rs. 900, so we can set up the equation:

6000R2/100 + 1500R4/100 = 900

Solving this equation for R gives us the rate of interest.

First, simplify the equation:

120R + 60R = 900

Combine like terms:

180R = 900

Finally, solve for R:

R = 900 / 180 = 5

So, the rate of interest is 5%.

This problem has been solved

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