Question
Download Solution PDFA person sells wheat at a profit of 25 percent. If he reduces its selling price by Rs. 40, then he suffers a loss of 25 percent. What was the initial selling price of the wheat?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Let the cost price be Rs. y
When he had a profit,
Selling price = cost price + profit % of cost price
⇒ y + 25% × y = 1.25y
When he had a loss,
Selling price = cost price – loss% of cost price
⇒ y – 25% × y = 0.75y
According to the question,
⇒ 1.25y – 0.75y = 40
⇒ 0.50y = 40
⇒ y = 80
∴ Initial selling price = 1.25y = 1.25 × 80 = Rs.100
Alternate MethodCalculation:
Taking profit percentage as positive and the loss percentage as negative.
⇒ 25% - (-25%) = 40
⇒ 50% = 40
⇒ 1 = 80
S.P = 1.25 = 1.25 × 80 = 100
∴ The selling price is Rs.100.
Last updated on May 28, 2025
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