The ratio of the selling prices of items R and S in 2024 is 2:5, and the profit on selling items R and S in 2024 is 20% and 25% respectively. Find the cost price of item R as what percentage of the cost price of item S in 2024.

43.33%
49.25%
42.83%
44.5%

Correct answer: 43.33%

Solution

If SP of R:S = 2:5, let SP of R = 2x and SP of S = 5x. With 20% profit on R, CP of R = 2x/1.2; with 25% profit on S, CP of S = 5x/1.25. Taking the ratio gives CP(R):CP(S) = (2/1.2):(5/1.25) = 25:57.5 = 43.33%.

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