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.