Question
A shopkeeper allows two consecutive discounts of 20% and
25% on an article and still he makes a profit of 32% by selling it. He would make Rs.2332 less profit when he allows a single discount of X% on same article. If selling price of article which is sold at X% discount is Rs.25652, then find X.Solution
Let the cost price of article be Rs. ‘P’ Selling price after given two consecutive discounts, 20% and 25% = Rs. 1.32P’ Marked price of article = (1.32P )/(0.80×0.75 ) = 2.2P Rs. Selling price of article after given two consecutive discounts, 20% and 25% = 25652 + 2332 = Rs.27984 ATQ, 1.32P = 27984 P = 21200 Rs. Marked price of article = 21200 × 2.2 = 46640 Rs. Selling price when sold at X% discount = 46640 ×((100-X))/100 = 25652 100 – X = 256520/4664 X = 100 – 55 = 45%
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