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Profit in a transaction is 80%. If the cost increases by 20%, then what is the change in profit percentage, if the selling price is the same?
  • a)
    Profit decreases by 30%
  • b)
    Profit is 60% of the cost price
  • c)
    Profit decreases by 18%
  • d)
    Profit remains the same
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Profit in a transaction is 80%. If the cost increases by 20%, then wha...
Let CP of the article be Rs. 100
⇒ SP of the article = 100 × 180/100 = Rs. 180
New cost price = 100 × 120/100 = Rs. 120
⇒ New profit = 180 – 120 = 60
Profit percentage = 60/120 × 100 = 50%
∴ Change in profit percent = 80 – 50 = 30% decrease
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Most Upvoted Answer
Profit in a transaction is 80%. If the cost increases by 20%, then wha...
Understanding the Initial Profit Situation
- Let the initial cost price (CP) be 100.
- Given a profit of 80%, the selling price (SP) can be calculated as:
- SP = CP + Profit = 100 + (80% of 100) = 100 + 80 = 180.
Analyzing the Cost Increase
- The cost increases by 20%, so the new cost price (CP') is:
- CP' = 100 + (20% of 100) = 100 + 20 = 120.
Calculating the New Profit
- The selling price remains the same at 180.
- New profit (Profit') can be calculated as:
- Profit' = SP - CP' = 180 - 120 = 60.
Calculating the New Profit Percentage
- The new profit percentage (Profit%') is now:
- Profit%' = (Profit' / CP') * 100 = (60 / 120) * 100 = 50%.
Determining the Change in Profit Percentage
- The initial profit percentage was 80%.
- The new profit percentage is 50%.
- The change in profit percentage is:
- Change = Initial Profit% - New Profit% = 80% - 50% = 30%.
Conclusion
- Therefore, the profit decreases by 30%, confirming that option 'A' is correct.
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Profit in a transaction is 80%. If the cost increases by 20%, then what is the change in profit percentage, if the selling price is the same?a)Profit decreases by 30%b)Profit is 60% of the cost pricec)Profit decreases by 18%d)Profit remains the sameCorrect answer is option 'A'. Can you explain this answer?
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