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A trader bought some apples and marked them 40% above Cost Price. He sold 70% of the apples at marked price and rest at 20% discount. Find his profit percentage?


1. 30.6%
2. 25.5%
3. 31.6%
4. 33.4%

1 Answer

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Correct Answer - Option 3 : 31.6%

Given:

Marked up % = 40%

Apples sold at MP = 70%

Discount % = 20%

% of Apples sold at discount = 30%

Concept:

To solve this type of question, consider the number of apples to be 10 or 100 and CP of 1 apple as Rs. 10. Then proceed.

Formula used:

Profit % = [(SP – CP)/CP] × 100

Calculation:

Let the total apples brought = 10

∴ Apples sold at MP = 7

Apples sold at discount = 3

CP of 1 apple = 10

MP of 1 apple = 140% of 10 = 14/-

∴ SP of 7 apple = 7 × 14 = 98/-

SP of apples after discount = 80% of 14 = 11.2/-

⇒ SP of 3 apples after discount = 11.2 × 3 = 33.6/-

∴ Total SP = 98 + 33.6 = 131.6/-

Total CP of 10 apples = 10 × 10 = 100/-

Profit % = (31.6/100) × 100 = 31.6%.

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