An article was sold at a gain of 18%. If it had been sold for Rs 49 more, then the gain would have been 25%. The cost price of the
article is:
This questions was previously asked in
SSC CGL 6th March 2020 Shift-1
Explanation:
To solve for the cost price of the article, we use the given conditions:
- Let the cost price (CP) be Rs X.
- Initially, the article is sold at an 18% gain. So, the selling price (SP) is:
\[ SP = X + 0.18X = 1.18X \]
- If sold for Rs 49 more, the gain is 25%. Thus:
\[ 1.25X = SP + 49 \]
\[ 1.25X = 1.18X + 49 \]
- Solving the equation:
\[ 1.25X - 1.18X = 49 \]
\[ 0.07X = 49 \]
\[ X = \frac{49}{0.07} \]
\[ X = 700 \]
- The cost price is Rs 700.
Correct Answer: Option 1 - Rs 700
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By: santosh