After allowing a discount of 10% on the marked price of an article, it is sold for Rs450.Had the discount not been given, the profit
would have been 25%. What is the 50% of the cost price (in Rs) of the article?
This questions was previously asked in
SSC MTS 2nd Nov 2021 Shift-2
Explanation:
- The article was sold for Rs 450 after a 10% discount.
- Without the discount, the selling price would be the full marked price.
- A 25% profit means the selling price is 125% of the cost price.
- Let the cost price be Rs \( C \).
- Without the discount, the price should have been Rs \( 1.25C \).
- With a 10% discount on the marked price, Rs 450 is 90% of the marked price.
- Therefore, the marked price = Rs 500.
- Rs 500 is equal to Rs 1.25C due to a 25% profit condition.
- Solve \( 1.25C = 500 \). Hence, \( C = 400 \).
- 50% of Rs 400 is Rs 200.
Option 2: 200 is correct.
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