Question

An individual invested certain amounts in three different schemes P, Q, and R at simple interest rates of 7% p.a., 9% p.a., and 11% p.a. respectively. If the total interest accrued in one year was ₹2520 and the amount invested in Scheme R was 250% of the amount invested in Scheme P and 300% of the amount invested in Scheme 0, what was the amount invested in Scheme P?

• A. ₹5000
• B. ₹5500
• C. ₹6000
• D. ₹6500

Answer 1

Answer:

C. ₹6000

Let the amount invested in Scheme P = ₹x.

Given:

• P earns 7%

• Q earns 9%

• R earns 11%

• Total interest in 1 year = ₹2520

• R = 250% of P

• R = 300% of Q (assuming “Scheme 0” means Scheme Q)

Step 1: Express Q and R in terms of x

$R=250\%\text{ of }P=\frac{250}{100}x=2.5x$

Since (R=300%) of Q:

$Q=\frac{R}{3}=\frac{2.5x}{3}=\frac{5x}{6}$

Step 2: Calculate the total interest

$7\%\times x+9\%\times\frac{5x}{6}+11\%\times2.5x=2520$

0.07x+0.075x+0.275x=2520

0.42x=2520

$x=\frac{2520}{0.42}=6000$

Answer: ₹6,000

So, the amount invested in Scheme P was ₹6,000.