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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.)?
1980
2330
1320
1200
- 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×(1−0.25)=0.75x.
- Then a 12% discount is applied: 0.75x×(1−0.12)=0.75×0.88×x=0.66x.
- The calculated selling price is 0.66x=792.
- Solving for x:
0.66x=792
x=7920.66
x=1200
- The correct labelled price is 1200.
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