Question
A shopkeeper offered two back-to-back discounts of x% and
sold an article for Rs. 1800. The marked price was Rs. 3200. What was the percentage of each discount?Solution
ATQ,
3200 × (100 – x)% × (100 – x)% = 1800
0.32 × (100 – x)² = 1800
(100 – x)² = 5625
100 – x = 75
x = 25
So, the value of ‘x’ is 25%
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