Arithmetic

Profit & Loss

Medium

By selling 8 pens for Rs 75, a shopkeeper loses 25%. How many pens should be sold for Rs 372 to earn a 24% profit?

✅ Correct Option: 3

Given that 8 pens are sold for Rs 75 with a 25% loss.

When there's a 25% loss, the selling price is 75% of the cost price.

$75 = CP \times (1 - 0.25)$

$75 = CP \times 0.75$

$CP = \frac{75}{0.75}$

$CP = 100$

The cost price of 8 pens is Rs 100.

Cost of 1 pen:

$\text{Cost of 1 pen} = \frac{100}{8}$

$\text{Cost of 1 pen} = 12.50$

To earn a 24% profit, the selling price per pen should be:

$SP = 12.50 \times (1 + 0.24)$

$SP = 12.50 \times 1.24$

$SP = 15.50$

Each pen must be sold for Rs 15.50 to earn 24% profit.

Number of pens to be sold for Rs 372:

$\text{Number of pens} = \frac{372}{15.50}$

$\text{Number of pens} = 24$

Therefore, 24 pens should be sold for Rs 372 to earn a 24% profit.

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