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?

A Rs.2160 Correct Answer Incorrect Answer
B Rs.2100 Correct Answer Incorrect Answer
C Rs.2135 Correct Answer Incorrect Answer
D Rs.2000 Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

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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