The markedprice ofan article is Rs240. A shopkeeper sells it by allowing 18% discount on its marked price and still gains 23%,
What is the costprice (in Rs) ofthe article?
This questions was previously asked in
SSC CGL 17th August 2021 Shift-3
Explanation:
To solve the problem of finding the cost price of the article, follow these steps:
- Marked Price: The original marked price of the article is Rs 240.
- Discount Given: A discount of 18% is allowed on the marked price.
- Discount = \( \frac{18}{100} \times 240 = 43.2 \)
- Selling Price = \( 240 - 43.2 = 196.8 \)
- Profit Made: The shopkeeper still gains a profit of 23% on the cost price.
- Let the cost price be X.
- Selling Price = Cost Price + 23% of Cost Price = \( X + \frac{23}{100} \times X = 1.23X \)
- So, \( 1.23X = 196.8 \)
- Solving for X gives \( X = \frac{196.8}{1.23} = 160 \)
- Correct Answer: Option 3: 160
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