A dealer marks an article 40% above the cost price and sells it to a customer, allowing two successive discounts of 20% and
25% on the marked price. If he suffers a loss of Rs 140, then the cost price (in Rs) of the article is:
This questions was previously asked in
SSC CGL 3rd March 2020 Shift-2
Explanation:
- The dealer marks the article 40% above the cost price. Therefore, the marked price is 1.4 times the cost price (CP).
- Two successive discounts of 20% and 25% are applied.
- First, a 20% discount reduces the price to 80% of the marked price.
- Next, a 25% discount on this reduced price decreases it to 75% of the already discounted price.
- Multiply these reductions: 1.4 × 0.8 × 0.75 = 0.84. So, 84% of the cost price is realized.
- Given the loss is Rs 140, calculate using: 0.84 × CP = CP - 140.
- Solve: CP - 0.84CP = 140 results in 0.16CP = 140, thus CP = 875.
Correct Answer: Option 4 - 875
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