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The marked price of a bicycle is 1500 rupees, which is 25 percent more than its cost price. If it is sold at a 10 percent discount, what is the profit
Question

The marked price of a bicycle is 1500 rupees, which is 25 percent more than its cost price. If it is sold at a 10 percent discount, what is the profit percentage?

A.

12.5 percent

B.

20 percent

C.

15 percent

D.

30 percent

Correct option is A

Given:
Marked price = Rs. 1500
Mark up percent = 25%
Discount percentage = 10%
Formula Used:
Profit %=(Selling PriceCost PriceCost Price)×100\text{Profit \%} = \left( \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \right) \times 100​​
Solution:
Let the CP be 100x.
MP = 100x + 100x × 25%
=> 1500 = 125x
=> x = 12
CP = 100x = Rs. 1200
SP = 1500 - 1500 × 10%
=> SP = 1500 - 150
=> SP = Rs. 1350
Profit %=(SPCPCP)×100=>(135012001200)×100=>(1501200)×100=>12.5%\text{Profit \%} = \left( \frac{\text{SP} - \text{CP}}{\text{CP}} \right) \times 100 \\\Rightarrow \left( \frac{1350 - 1200}{1200} \right) \times 100 \\\Rightarrow \left( \frac{150}{1200} \right) \times 100 \\\Rightarrow 12.5\%​​

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