# Q. A person buys three articles P, Q and R for ₹ 3,330. If P costs 25% more than R and R costs 20% more than Q, then what is the cost of P?

a) ₹ 1,000

b) ₹ 1,200

c) ₹ 1,250

d) ₹ 1,350

Correct answer: d) ₹ 1,350

##### Question from UPSC Prelims 2024 CSAT Paper

**Explanation:**

## Person buys three articles

Let’s approach this problem step by step:

1) Let’s say the cost of Q is x.

2) Given that R costs 20% more than Q:

Cost of R = x + 20% of x = 1.2x

3) P costs 25% more than R:

Cost of P = 1.2x + 25% of 1.2x = 1.2x + 0.3x = 1.5x

4) The total cost of P, Q, and R is ₹3,330:

P + Q + R = 3,330

1.5x + x + 1.2x = 3,330

3.7x = 3,330

5) Solving for x:

x = 3,330 / 3.7 = 900

6) Now that we know x (the cost of Q), we can find the cost of P:

Cost of P = 1.5x = 1.5 * 900 = 1,350

Therefore, the cost of P is ₹1,350.