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The marked price of an object is Rs 960. The shopkeeper allows a discount of 10 % and still gains 8 %. If no discount is given, his profit % would be:

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The marked price of an object is Rs 960. The shopkeeper allows a discount of 10 % and still gains 8 %. If no discount is given, his profit % would be:
1). 15
2). 18
3). 20
4). 22


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2 vote
Answered by on | Votes 2 |

We have MP = Rs 960

Discount = 10%

∴ SP = 960 – 10 % of Rs 960

= 960 – 96

= Rs864

$(\begin{array}{l} {\rm{CP}} = SP \times \frac{{100}}{{100 + p\% }}\\ \Rightarrow {\rm{CP}} = {\rm{}}864{\rm{}} \times {\rm{}}\frac{{100}}{{100 + 8}} \end{array})$

⇒ CP = Rs 800

If the product was sold for MP, profit = Rs 960 – Rs 800

= Rs 160

Profit % = $(\frac{{Profit}}{{CP}} \times 100)$

$(= \frac{{160}}{{800}} \times 100)$

= 20 %

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