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The marked price of a bed is ₹1,600, which is 25% above the cost price. It is sold at a discount of 16% on the marked price. Find the profit perc
Question

The marked price of a bed is ₹1,600, which is 25% above the cost price. It is sold at a discount of 16% on the marked price. Find the profit percentage.

A.

5%

B.

4%

C.

6%

D.

7%

Correct option is A

Given:

Marked Price (MP) = ₹1,600

Marked Price is 25% above the Cost Price (CP), i.e., MP = CP + 25% of CP

Discount given = 16% on MP

Formula Used:

Profit percentage is calculated as:

Profit%=(ProfitCost Price)×100\text{Profit\%} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100

Solution:
MP = CP + 25% of CP

CP=16001.25=1280= \frac{1600}{1.25} = 1280

SP =1600×(116100)1600 \times \left( 1 - \frac{16}{100} \right)​​

SP = 1600×0.84=0 \times 0.84 = 1344

Profit = SP − CP = 1344 − 1280 = 64

Profit%=(641280)×100=5%\text{Profit\%} = \left( \frac{64}{1280} \right) \times 100 = 5\%

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