A fruit merchant bought some bananas. Onefifth of them got rotten and were thrown away. Hesold two fifth of the bananas with
him at 15% profit and the remaining bananasat 10% profit. Find his overall loss or profit percent?
This questions was previously asked in
SSC CGL 23rd August 2021 Shift-1
Profit, 9.6%
Incorrect AnswerLoss, 10.4%
Correct AnswerLoss, 9.6%
Incorrect AnswerProfit, 10.4%
Incorrect AnswerExplanation:
Let's solve step-by-step:
- Let total bananas = 100 (for simplicity).
- 1/5 got rotten, so rotten = 20 bananas. Remaining = 80 bananas.
- Out of 80 bananas:
- 2/5 = 32 bananas sold at 15% profit,
- Remaining = 80-32 = 48 bananas, sold at 10% profit.
- Cost Price (CP) of each = ?1 (assume for calculation).
- CP of 80 bananas (sellable) = ?80.
Profit Calculation:
- 32 bananas: Profit = 15% of 32 = 0.15 × 32 = ?4.8
- 48 bananas: Profit = 10% of 48 = 0.10 × 48 = ?4.8
- Total Profit = ?4.8 + ?4.8 = ?9.6
- Total CP = ?100 (including rotten), Total SP = CP + Profit = ?80 + ?9.6 = ?89.6
Overall loss = CP - SP = ?100 - ?89.6 = ?10.4
Loss % = (10.4/100) × 100 = 10.4%
Correct option:
Option 2, Loss, 10.4%
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By: santosh