Question : A person sold 28 articles for Rs, 2800 and incurred a loss of 20%. How many articles should he sell for Rs. 4400 to make a profit of 10%?
Option 1: 16
Option 2: 40
Option 3: 32
Option 4: 24
Correct Answer: 32
Solution :
Selling price of one article = $\frac{2800}{28}=100$
Cost price of one article = $100 \times \frac{100}{80}$ = Rs. 125
Now, to get Rs. 4400 making a profit of 10%, the selling price is 110% of the cost price.
Selling price of 1 article = Cost price of 1 article $\times \frac{100 + \text{Profit percentage}}{100}$
= $125 \times \frac{110}{100}$
= Rs. 137.5
Number of articles to be sold = $\frac{\text{Total Selling Price}}{\text{Selling price of 1 article}}$
= $\frac{4400}{137.5} =32$
Hence, the correct answer is 32.
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