CUET UG 2025 — General Test Arithmetic

A person sold two watches for Rs 5500 each. Watch 1 was sold at a 20% profit and Watch 2 was sold at a 20% loss.

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For Watch 1 (20% profit):

When an item is sold at 20% profit, the selling price is 120% of the cost price.

$$SP = CP \times 1.2$$SP=CP×1.2

$$5500 = CP \times 1.2$$5500=CP×1.2

$$CP = \dfrac{5500}{1.2}$$CP=1.25500​

$$CP = \dfrac{55000}{12}$$CP=1255000​

$$CP = Rs \, 4583.33$$CP=Rs4583.33

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For Watch 2 (20% loss):

When an item is sold at 20% loss, the selling price is 80% of the cost price.

$$SP = CP \times 0.8$$SP=CP×0.8

$$5500 = CP \times 0.8$$5500=CP×0.8

$$CP = \dfrac{5500}{0.8}$$CP=0.85500​

$$CP = \dfrac{55000}{8}$$CP=855000​

$$CP = Rs \, 6875$$CP=Rs6875

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Total Cost Price $= 4583.33 + 6875 = Rs \, 11458.33$=4583.33+6875=Rs11458.33

Total Selling Price $= 5500 + 5500 = Rs \, 11000$=5500+5500=Rs11000

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Since Total Selling Price $<$< Total Cost Price, there is a loss.

Loss $= 11458.33 - 11000 = Rs \, 458.33$=11458.33−11000=Rs458.33

Loss Percentage $= \dfrac{458.33}{11458.33} \times 100$=11458.33458.33​×100

Loss Percentage $= 4\%$=4%

Therefore, the overall result is a 4% loss.