Question
A loss of 10(1/2)% gets converted into a profit of
11(3/5)% when the selling price is increased by Rs132.60. The cost price (in Rs) of the article is:Solution
Let CP of the article be 100a Now, SP for 1st case = 100a - 100a × 10(1/2)% = 89.5a SP for 2nd case = 100a + 100a × 11(3/5)% = 111.6a According to the question, 111.6a - 89.5a = 132.6 ⇒ 22.1a = 132.6 ⇒ a = 132.6/22.1 ⇒ a = 6 So, cost price = 100 × 6 ⇒ Rs. 600 ∴ The cost price (in Rs.) the article is 600.
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