Question

A person sold two almirahs for Rs. 1,980 each. On one he gained 10% while on other he lost 10%. In the bargain, he

• A. gained 2%
• B. loss 1%
• C. gained 10%
• D. none of these

Answer 1

Answer: (B)

The correct option is B loss 1%
$\Rightarrow$ Selling price of 1st Almirah = $Rs.1980$

$\Rightarrow$ Gain = $10\%$

$\Rightarrow$ $S.P=(1+\frac{P}{100})\times C.P$

$\Rightarrow$ $1980=(1+\frac{10}{100})\times C.P$

$\Rightarrow$ $1980=\frac{110}{100}\times C.P$

$\therefore$ $C.P=Rs.1800$

$\Rightarrow$ S.P of 2nd Almirah = $Rs.1980$

$\Rightarrow$ Loss = $10\%$

$\Rightarrow$ $S.P=(1-\frac{L}{100})\times C.P$

$\Rightarrow$ $1980=(1-\frac{10}{100})\times C.P$

$\Rightarrow$ $1980=\frac{90}{100}\times C.P$

$\therefore$ $C.P=Rs.2200$

$\Rightarrow$ Total S.P = $Rs.(1980\times 2)=Rs.3960$

$\Rightarrow$ Total C.P = $Rs.(1800+2200)=Rs.4000$

$\therefore$ $Loss=TotalC.P-TotalS.P=Rs.(4000-3960)=Rs.40$

$\therefore$ $Loss\%=\frac{40}{4000}\times 100=1\%$