Question
The cost price of a bag of Rice is Rs. 240 more than
that of a bag of Sugar. The Rice bag is sold at a loss of 25%, while the Sugar bag is sold at a profit of 45%. If the selling price of the Sugar bag is Rs. 492 greater than that of the Rice bag, can you determine the individual cost prices of both bags?Solution
ATQ, Let the cost price of Rice bag be Rs. 'a' Therefore, cost price of Sugar bag = Rs. (a – 240) Selling price of Rice bag = Rs. 0.75a Selling price of Sugar bag = 1.45(a – 240) = Rs. (1.45a – 348) According to the question, 1.45a – 348 – 0.75a = 492 Or, 0.7a = 840 Or, a = 1200 Required sum = (a + a – 240) = Rs.2160
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