Quantitative Aptitude Ques 716
Question: Manhar sold an item for Rs. 8400 and incurred a loss of 25%. At what price should he have sold the item to have gained a profit of 40%?
Options:
A) Rs. 15680
B) Rs. 16220
C) Rs. 14540
D) Cannot be determined
E) None of the above
Show Answer
Answer:
Correct Answer: A
Solution:
- Selling price of item = Rs. 8400
Loss = 25%
Selling price = Cost price $ - $ Loss
Let the cost price be $ x. $ Then, loss $ =\frac{25}{100}\times x=\frac{x}{4} $
$ \Rightarrow $ $ SP=8400 $
$ \Rightarrow $ $ x-\frac{x}{4}=8400 $
$ \Rightarrow $ $ \frac{3x}{4}=8400 $
$ \Rightarrow $ $ x=\frac{8400\times 4}{3}=2800\times 4 $
$ \Rightarrow $ $ x=11200 $ Required selling price $ =x+\frac{40}{100}\times x $ $ =11200+\frac{4}{10}\times 11200 $ $ =11200+4480=Rs\text{.},15680 $