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Saral bought apples for rupees 300. She sold 1/3rd of it at 30% loss. At what gain % should she sell the rest so that she neither makes a profit nor loss overall?
1. 15%
2. 12%
3. 16%
4. 24%

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Correct Answer - Option 1 : 15%

GIVEN:

Saral bought apples for rupees 300. She sold 1/3rd of it at 30% loss.

CONCEPT:
Basic concept of Profit and Loss.

FORMULA USED:

SP = CP × [1 + Profit/100]

SP = CP × [1 – Loss/100]

CALCULATION:

According to the question 1/3rd apples are sold at 30% loss.

Therefore,

Selling price of 1/3rd of the apples = (300/3) × (1 – 30/100) = 100 × (70/100) = Rs. 70

Now the 2/3rd apples have to be sold at a profit p% such that there is no profit or loss overall. That is:

Selling price of 1/3rd apples + Selling price of 2/3rd apples = 300

Hence,

70 + (300) × 2/3 × (1 + p/100) = 300

⇒ 1 + p/100 = 230/200

⇒ p/100 = 3/20

⇒ p = 15%

∴ The required percentage is 15%.

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