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Sandeep made a profit of 22% when he sold an overcoat for ₹8,540. Find the cost price of the overcoat.
Question

Sandeep made a profit of 22% when he sold an overcoat for ₹8,540. Find the cost price of the overcoat.

A.

₹6,500

B.

₹6,000

C.

₹7,500

D.

₹7,000

Correct option is D

Given:
Profit percentage = 22%
Selling price (SP) = ₹8,540​

Formula Used:

Selling Price (SP) = Cost Price (CP) + Profit

Cost Price (CP) = Selling Price (SP)1+Profit Percentage100\frac{\text{Selling Price (SP)}}{1 + \frac{\text{Profit Percentage}}{100}}​​
Solution:

Cost Price = 85401+22100=85401.22=7000\frac{8540}{1 + \frac{22}{100}} = \frac{8540}{1.22} = 7000

Thus, the correct option is (d) ₹7,000

Alternate Method:

Let, Cost price = 100%

Selling Price = 100% + 22% = 122%

Cost Price = 8540122%×100%\frac{8540}{122\%} \times 100\% = ₹7,000

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