Question
Person 'P' purchased two watches
at the same price. One of the watches was sold at a profit of 26%, while the other was sold at a loss of 36%. The difference between the selling prices of the two watches amounts to Rs. 3100. Determine the profit that 'P' would earn if he sold one of the watches at a profit of 36%.Solution
ATQ, Let the cost price of each watch be Rs. '100x'. So, selling price of first watch = Rs. 100x × 1.28 = Rs. '128x' Also, selling price of second watch = Rs. 100x X 0.64 = Rs. '64x' ATQ, (128x - 64x) = 3100 Or, 62x = 3100 So, 'x' = 50 Cost price of the watch = Rs. 100 × 50 = Rs. 5000 Therefore, the required price = 5000 × 0.36 = 1800
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