Question

The simple interest on Rs. 6,000 in 4 years at R% interest per annum is equal to the simple interest on Rs.. 9,000 at the rate of 12% per annum in 2 years. What is the value of R?

• A. 8
• B. 11
• C. 9
• D. 10

Answer 1

Answer:

C. 9

Solution:

Given:

SI on ₹6000 in 4 years at R% = SI on ₹9000 in 2 years at 12%

Formula Used:

$SI =\frac{PRT}{100}$

Where, P = Principal, R = Rate, T = Time(in years)

Calculation:

According to the question,

$\frac{6000\times{R}\times{4}}{100}=\frac{9000\times{12}\times{2}}{100}$

$R=\frac{9\times{12}\times{2}}{6\times{4}}$ = 9%

∴ The value of R is 9%.