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A dealer marks his goods 10% above the cost price and allows 10% discount. What is his percentage gain or loss?
Question

A dealer marks his goods 10% above the cost price and allows 10% discount. What is his percentage gain or loss?

A.

1% loss

B.

10% loss

C.

10% gain

D.

1% gain

Correct option is A

Given:

Marked Price = 10% above Cost Price
Discount Allowed = 10%

Formula Used:

Selling Price =Marked Price×(1Discount100) \text{Marked Price} \times \left(1 - \frac{\text{Discount}}{100}\right)

Profit % = (SPCPCP)×100\left( \frac{\text{SP} - \text{CP}}{\text{CP}} \right) \times 100

Solution:
Let Cost Price = ₹100
Then, Marked Price = ₹100 + 10% of ₹100 = ₹110
Selling Price = ₹110 ×(110100)=110×0.90=99× (1 - \frac{10}{100}) = ₹110 × 0.90 = ₹99​​

Loss = ₹100 - ₹99 = ₹1

Loss % = (1100)×100=1%\left( \frac{1}{100} \right) \times 100 = 1\%

Alternate Method:

Loss % =1x100x×100\frac{1x}{100x}\times 100​ = 1%

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