Question
Sonia goes to a clothing store with a certain amount of
money. She can buy 90 shirts or 30 trousers with the money she has. However, she decides to save 25% of the amount for a party and buys 12 trousers and some shirts. Determine the percentage of shirts she can now purchase out of the initial number of shirts she could have bought.Solution
ATQ Let the amount of money with Sonia be Rs. '180a' So, the price of 1 shirt = (180/90) = Rs. '2a' Also, the price of 1 trouser = (180/30) = Rs. '6a' ATQ; Amount retained for the party = 0.25 X 180a = Rs. '45a' Price of 12 trousers = 12 X 6a = Rs. '72a' Remaining amount = 180a - 45a - 72a = Rs. '63a' So, number of shirts she can purchase now = (63a/2a) = 31.5 Therefore, required percent = (31.5/90) X 100 = 35%
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