| A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs. 10 less than he would have gained 40%. Determine the cost price of the pair of sunglasses |
A) Rs. 50
B) Rs. 25
C) Rs. 75
D) Rs. 60
Correct Answer: A
Solution :
| Let the CP of pair of sunglasses be Rs. \[x,\]then |
| \[\text{SP}=x+25\]% of \[x=\frac{5}{4}x\] |
| \[x-25\]% of \[x+40\]% of \[(x-25\]%\[ofx)=\frac{5}{4}x-10\] |
| \[\Rightarrow \]\[\frac{3x}{4}+\frac{2}{5}\times \frac{3x}{4}=\frac{5}{4}x-10\] |
| \[\Rightarrow \]\[15x+6x-25x=-\,\,200\] |
| \[\therefore \] \[x=50\] |
| CP of pair of sunglasses = Rs. 50 |
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