Abhi bought two articles for Rs624. He sold one at a loss of 14% and the other at a profit of 14%.If the selling price of both the
articles is equal, then the difference between their cost prices (in Rs)is:
This questions was previously asked in
SSC CGL 6 June 2019 Shift-2
Explanation:
To solve the problem, let's break it down:
- Abhi bought two articles for a combined cost of Rs 624.
- One article was sold at a 14% loss, while the other gained a 14% profit.
- The selling prices of both articles are equal.
Let's assume:
- Cost price of the first article = Rs x.
- Cost price of the second article = Rs (624 - x).
For the first article with a 14% loss:
- Selling price = x - 0.14x = 0.86x.
For the second article with a 14% profit:
- Selling price = (624 - x) + 0.14(624 - x) = 1.14(624 - x).
Since both selling prices are equal:
- 0.86x = 1.14(624 - x).
By solving this equation, the difference between the cost prices is found to be approximately Rs 87.36.
Correct Answer: Option 2 - 87.36
.
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