Question
Download Solution PDFIf a man were to sell his chair for Rs. 720, he would lose 25%. To gain 25% he should sell it for
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Selling price at 25% loss = Rs. 720
Loss percentage = 25%
Gain percentage = 25%
Formula Used:
Cost Price (CP) = Selling Price (SP) / (1 - Loss Percentage)
Selling Price for Gain = Cost Price × (1 + Gain Percentage)
Calculation:
Let the Cost Price (CP) be x.
25% loss means Selling Price (SP) = 75% of CP
⇒ 720 = 75% of x
⇒ 720 = (75/100) × x
⇒ x = 720 / (75/100)
⇒ x = 720 × (100/75)
⇒ x = 720 × (4/3)
⇒ x = 960
To gain 25%, Selling Price (SP) = 125% of CP
⇒ SP = 125% of 960
⇒ SP = (125/100) × 960
⇒ SP = (5/4) × 960
⇒ SP = 1200
To gain 25%, he should sell it for Rs. 1200.
Last updated on Feb 4, 2025
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