Question
The cost of a mobile phone was
first increased by 25% and then decreased by 25%. If the new cost of the mobile phone is Rs. 675, find the original cost of the mobile phone.Solution
ATQ,
Let the original price of the mobile phone be Rs. ‘100x’ So, new price of the mobile phone = 100x × 1.25 × 0.75 = Rs. ‘93.75x’ So, 93.75x = 675 So, x = 7.2 So, original price of the mobile phone = 100 × 7.2 = Rs. 720 Alternate solution: Original cost of the mobile phone = 675 ÷ 0.75 ÷ 1.25 = Rs.720
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