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Meera made a profit of 5% by selling a bag after offering a discount of 10%. If the marked price of bag is ₹1,050, find its cost price.
Question

Meera made a profit of 5% by selling a bag after offering a discount of 10%. If the marked price of bag is ₹1,050, find its cost price.

A.

₹850

B.

₹900

C.

₹508

D.

₹1,000

Correct option is B

Given:

Profit made by Meera = 5%

Discount offered =10%

Marked Price = ₹1050

Formula Used:

Discount = Marked Price - Selling Price

Profit Percentage =ProfitCost Price×100 \frac{Profit}{Cost \ Price} \times 100​​

Solution:

Marked Price = ₹1050

Discount = 10% of 1050 = 105

Selling Price = 1050 - 105 = ₹945

Meera made a profit of 5% on selling the bag for ₹945

Let the Cost Price be x

Then Profit = 5% of x =0.05x

Then selling price = x + 0.05x = 1.05x

But 1.05x = 945

x=9451.05=900x = \frac{945}{1.05} = ₹900​​

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