1.

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

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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