Labelled price of a cupboard is Rs 6500 . shopkeeper sold it by giving 5 % discount on labelled pric

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7.Profit and Loss

hard

The labelled price of a cupboard is $Rs$ $6500 .$ The shopkeeper sold it by giving $5 \%$ discount on the labelled price and earned a profit of $15 \% .$ What approximately is the cost price of the cupboard? (in $Rs.$)

A

$5000$

B

$5350$

C

$5600$

D

$5800$

Solution

Labelled price of cupboard $=Rs. 6500$

Selling price $(S.P.)$ $=\frac{95}{100} \times 6500=Rs. 6175$

Profit $\%=15$

Let $x$ be the cost price

$\therefore \quad \frac{ S.P. – C.P. }{ C.P. } \times 100=\% \text { profit }$

i.e. $\quad \frac{6175-x}{x} \times 100=15$

i.e. $\frac{6175-x}{x}=\frac{15}{100}$

i.e. $\frac{6175}{x}=1+\frac{15}{100}=\frac{115}{100}$

$\therefore$ $x=\frac{6175 \times 100}{115}=5369.56=Rs. 5350$

Standard 13

Quantitative Aptitude

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