Gujarati
Hindi
7.Profit and Loss
hard

Sarita sells a Phone at a profit of $20 \% .$ If she had bought it at $20 \%$ less and sold it for $Rs.\, 180$ less, she would have gained $25 \%$. Find thé gost price of the Phone in $Rs.$

A

$800$

B

$850$

C

$900$

D

$1000$

Solution

Let us assume the cost price of the phone to be

$Rs. 100.$ Then,

$Rs. 100$ $\xrightarrow[{{\text{20 $\%$  profit}}}]{{{\text{sells at}}}}$$100 \times 1.2=$ Rs. $120=( SP )_{1}$

If she bought the phone at $20 \%$ less, i.e. at $Rs. 80$ then,

$Rs$. $80$$\xrightarrow[{{\text{25 $\%$  profit}}}]{{{\text{sells at}}}}$$80 \times 1.25=$ Rs. $100=( SP )_{2}$

$=$ $Rs. 20$ when cost price is $Rs. 100.$

But, $( SP )_{1}-( SP )_{2}= Rs .180$

cost price $=\frac{100}{20} \times 180=$ $Rs. 900$

Hence, the cost price of the book is $Rs. 900$

Standard 13
Quantitative Aptitude

Similar Questions

Start a Free Trial Now

Confusing about what to choose? Our team will schedule a demo shortly.