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A shopkeeper buys pencil at 6 for Rs. 7 and sells at 7 for Rs. 6 only. Find the net profit or loss in this process.


1. 22% profit
2. 26.53% profit
3. 26.53% loss
4. 25% profit.

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Correct Answer - Option 3 : 26.53% loss

Given :

A shopkeeper buys pencil at 6 for Rs. 7.

A shopkeeper sells pencil at 7 for Rs. 6.

Formula :

Loss = Cost Price – Selling Price

Loss% = [(Cost Price – Selling Price)/( Cost Price)] × 100

Concept Used:

We will make the number of pencils equal and then will calculate the overall profit or loss%.

Calculation:

Let us make the number of pencil equal in buying and selling.

Suppose the number of pencil used in buying and selling  = L.C.M(6, 7)

Number of pencil used in buying and selling = 42

Cost price of 6 pencils = Rs 7 

⇒ Cost price of 42 pencils = Rs [(7 × 42)/6]

⇒ Cost price of 42 pencils = Rs 49 

Again, Selling  price of 7 pencils = Rs 6 

⇒ Selling price of 42 pencils = Rs [(6 × 42)/7] 

⇒ Selling price of 42 pencils = Rs 36 

Loss = Rs 49 – Rs 36 

⇒ Loss = Rs 13

Loss% = [(13)/49] × 100

⇒ Loss% = 26.53.

∴ The net loss% is 26.53%.

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