CUET UG 2025 — General Test Arithmetic

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×(1−0.25)

$$75 = CP \times 0.75$$75=CP×0.75

$$CP = \frac{75}{0.75}$$CP=0.7575​

$$CP = 100$$CP=100

The cost price of 8 pens is Rs 100.

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Cost of 1 pen:

$$\text{Cost of 1 pen} = \frac{100}{8}$$Cost of 1 pen=8100​

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

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

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

$$SP = 12.50 \times 1.24$$SP=12.50×1.24

$$SP = 15.50$$SP=15.50

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

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Number of pens to be sold for Rs 372:

$$\text{Number of pens} = \frac{372}{15.50}$$Number of pens=15.50372​

$$\text{Number of pens} = 24$$Number of pens=24

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