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Deepak marks the price of his table 50 percent above the cost price. He gives some discount on it and earns profit of 10 percent. What is the discount
Question

Deepak marks the price of his table 50 percent above the cost price. He gives some discount on it and earns profit of 10 percent. What is the discount percentage?

A.

26.67 percent

B.

20 percent

C.

16.67 percent

D.

33.33 percent

Correct option is A

Given
Marked Price (MP) is 50% above the Cost Price (CP)
Profit earned is 10% of CP
Formula Used:
Discount percentage is given by:
Discount Percentage=MPSPMP×100\text{Discount Percentage} = \frac{\text{MP} - \text{SP}}{\text{MP}} \times 100​​
Solution:
Let the CP be 100.
Then, MP = 100×150100=150100 \times \frac{150}{100} = 150 
Profit is 10% of CP ;
So, SP = 100×110100=110100 \times \frac{110}{100} = 110 
Now, 
Discount % = 150110150×100=40150×10026.67%\frac{150 - 110}{150} \times 100 = \frac{40}{150}\times 100 \approx 26.67\% 
Thus, Discount % is 26.67%.

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