CUET UG 2025 — General Test Arithmetic

32 apples are sold for Rs 30 with a 25% loss.

When there's a 25% loss, the selling price is 75% of the cost price (100% - 25% = 75%).

Selling Price = 0.75 × Cost Price

$$30 = 0.75 \times \text{CP}$$30=0.75×CP

$$\text{CP} = 30 \div 0.75$$CP=30÷0.75

$$\text{CP} = 40$$CP=40

The cost price of 32 apples is Rs 40.

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Cost of 1 apple:

$$\text{Cost per apple} = 40 \div 32$$Cost per apple=40÷32

$$\text{Cost per apple} = 1.25$$Cost per apple=1.25

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Let $x$x be the number of apples to be sold for Rs 24 with a 20% profit.

Cost Price of $x$x apples $= 1.25x$=1.25x

For 20% profit, the selling price should be 120% of the cost price (100% + 20% = 120%).

$$\text{Selling Price} = 1.20 \times \text{Cost Price}$$Selling Price=1.20×Cost Price

$$24 = 1.20 \times (1.25x)$$24=1.20×(1.25x)

$$24 = 1.5x$$24=1.5x

$$x = 24 \div 1.5$$x=24÷1.5

$$x = 16$$x=16

Therefore, 16 apples should be sold for Rs 24 to gain 20% in the transaction.