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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
