While selling a watch, a shopkeeper gives a discount of 15 % . If he gives a discount of 20 %, he ea

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7.Profit and Loss

hard

While selling a watch, a shopkeeper gives a discount of $15 \% .$ If he gives a discount of $20 \%,$ he earns $Rs.\, 51$ less as profit. What is the original price of the watch? (in $Rs$)

$920$

$985$

$1125$

$1020$

Let the original price of watch be Rs. $x$.

Now in earlier situation,

He gave discount of $15 \%$

So, selling price of watch $=\operatorname{Rs} . \times\left(\frac{100- D \%}{100}\right)= Rs . \times\left(\frac{85}{100}\right)$

Now if he would have gave $20 \%$ discount,

Selling price of watch $=\operatorname{Rs} . \times\left(\frac{80}{100}\right)$

According to question

$\Rightarrow x\left(\frac{85}{100}\right)-x\left(\frac{80}{100}\right)=51$

$\Rightarrow x=\frac{51 \times 100}{85-80}=$ $Rs. 1020$

Standard 13

Quantitative Aptitude

easy

medium

hard

medium

easy