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A man buys two watches ‘A’ and ‘B’ at a total cost of Rs. 800. He sells both watches at the same selling price, and earns a profit of 18% on watch ‘A’ and incurs a loss of 22% on watch ‘B’. What are the cost prices of the two watches? (Two-place after the decimal).

A man buys two watches ‘A’ and ‘B’ at a total cost of Rs. 800. He sells both watches at the same selling price, and earns a profit of 18% on watch ‘A’ and incurs a loss of 22% on watch ‘B’. What are the cost prices of the two watches? (Two-place after the decimal). Correct Answer A = Rs. 318.37 and B = Rs. 481.63

18% = 9/50 and 22% = 11/50

Let the Ratio of CP to SP of watch A = 50 : 59          --- (1) × 39

Let the Ratio of CP to SP of watch B = 50 : 39          --- (2) × 59

Total CP of watch A and B = 50 × 39 + 50 × 59 = 1950 + 2950 = 4900

4900 unit = Rs. 800

1 unit = 800/4900

1905 unit = 800/4900 × 1950 = 318.37

CP of watch A = 318.37

CP of watch B = 800 - 318.37 = 481.63

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