| Pankaj bought a bag with 20% discount on the original price. He got a profit of Rs. 50 by selling it at a price 150% of the price at which he bought. The original price of the bag is |
A) 125
B) 150
C) 175
D) 200
Correct Answer: A
Solution :
| Let the original price be Rs. x. |
| \[\text{CP}=\frac{80}{100}x=\frac{4x}{5}\] |
| CP + Profit = SP |
| \[\Rightarrow \] \[\frac{4x}{5}+50=\frac{150}{100}\times \frac{4x}{5}\] |
| \[\Rightarrow \] \[\frac{4x}{5}+50=\frac{3}{2}\times \frac{4x}{5}\] |
| \[\Rightarrow \]\[\frac{4x}{5}+50=\frac{6x}{5}\]\[\Rightarrow \]\[50=\frac{6x}{5}-\frac{4x}{5}\] |
| \[\Rightarrow \]\[\frac{2x}{5}=50\]\[\Rightarrow \]\[x=\frac{50\times 5}{2}=\text{Rs}\text{. 125}\] |
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