A shopkeeper gives a 12% additional discount on the discounted price, after giving an initial discount of 25% on the labelled price of a radio. If the final selling price of the radio isRs.?792, then what is its labelled price (in Rs.)?
This questions was previously asked in
ssc cgl 2023 pre
Explanation:
- Let's break it down step by step:
- The initial discount of 25% is given on the labelled price.
- The post-discount price is then further reduced by an additional 12%.
- Final selling price after both discounts is Rs. 792.
- Let the labelled price be \( x \).
- After 25% discount, the price is \( x \times (1 - 0.25) = 0.75x \).
- Then a 12% discount is applied: \( 0.75x \times (1 - 0.12) = 0.75 \times 0.88 \times x = 0.66x \).
- The calculated selling price is \( 0.66x = 792 \).
- Solving for \( x \):
\[ 0.66x = 792 \]
\[ x = \frac{792}{0.66} \]
\[ x = 1200 \]
- The correct labelled price is 1200.
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By: Parvesh Mehta