Q47. 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?
Detailed Solution
Let the cost of article Q be 100 units. Since R costs 20% more than Q, the cost of R = 100 + 20% of 100 = 120 units. Since P costs 25% more than R, the cost of P = 120 + 25% of 120 = 120 + 30 = 150 units.
So, the ratio of costs P:Q:R is 150:100:120, which simplifies to 15:10:12. The total cost is ₹3,330. The total units in the ratio are 15 + 10 + 12 = 37 units. Therefore, 37 units = ₹3,330.
1 unit = 3330 / 37 = ₹90. The cost of P is 15 units = 15 * 90 = ₹1,350. This question involves percentage calculations and ratio application, a standard topic in CSAT.
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