InterviewSolution
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A greengrocer bought some Gooseberries at a certain price. He sold 3/5th of them in the morning at 25% profit. Due to festival on next day, he increased the prices in the evening and started selling them at 40% profit. But, due to increased prices, his sales reduced and 25% of those remaining Gooseberries got wasted. Find his overall profit or loss percent.1). 17% profit2). 21% profit3). 22% loss4). 21% loss |
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Answer» Let the greengrocer buys ‘y’ Gooseberries for Rs. 100 each Cost price of 1 GOOSEBERRY = Rs. 100 ∴ Cost price of y Gooseberries = 100y When 3/5th of total was sold: Selling price of 1 Gooseberry = $(100 \times \left( {1{\rm{\;}} + \frac{{25}}{{100}}} \right))$ = Rs. 125 ∴ Selling price of 3Y/5 Gooseberries = 125 × (3y/5) = 75Y Now, Remaining Gooseberries = $(\left( {1 - \frac{{3{\rm{y}}}}{5}} \right){\rm{}} = \frac{{2{\rm{y}}}}{5})$ Out of these 25% wasted Remaining Gooseberries = $(\frac{{2y}}{5} \times \left( {1 - \frac{{25}}{{100}}} \right) = \frac{{3y}}{{10}})$ These are sold at 40% profit i.e. for Rs. 140 each ∴ Total Selling price = 75y + 140 × 3y/10 = 117y We can see that, profit is made. Profit percentage = $(\frac{{117{\rm{y\;}} - {\rm{\;}}100{\rm{y}}}}{{100{\rm{y}}}} \times 100 = 17{\rm{\% \;}})$ |
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