A house and a shop were sold for Rs. 1 lakh each. In this transaction, the house sale resulted into 20% loss whereas the shop sale resulted into 20% profit. The entire transaction resulted in -
A. No loss, no gain
B. Loss of Rs. $$\frac{1}{12}$$ lakh
C. Loss of Rs. $$\frac{1}{18}$$ lakh
D. Gain of Rs. $$\frac{1}{24}$$ lakh
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & {\text{Total S}}{\text{.P}}{\text{.}} = {\text{Rs}}{\text{. 2 lakh}} \cr & {\text{C}}{\text{.P}}{\text{. of house}} \cr & = {\text{Rs}}{\text{.}}\left( {\frac{{100}}{{80}} \times 1} \right){\text{lakh}} \cr & = {\text{Rs}}.\frac{5}{4}{\text{lakh}}{\text{}} \cr & {\text{C}}{\text{.P}}{\text{.of shop}} \cr & = {\text{Rs}}{\text{.}}\left( {\frac{{100}}{{120}} \times 1} \right){\text{lakh}} \cr & = {\text{Rs}}{\text{.}}\frac{5}{6}{\text{lakh}}{\text{}} \cr & {\text{Total C}}{\text{.P}}. \cr & = {\text{Rs}}{\text{.}}\left( {\frac{5}{4} + \frac{5}{6}} \right){\text{lakh}} \cr & = {\text{Rs}}.\frac{{25}}{{12}}{\text{lakh}}{\text{}} \cr & \therefore {\text{Loss}} \cr & = {\text{Rs}}.\left( {\frac{{25}}{{12}} - 2} \right){\text{lakh}} \cr & = {\text{Rs}}.\frac{1}{{12}}{\text{ lakh}} \cr} $$Related Questions on Profit and Loss
A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51
A. Rs. 2600
B. Rs. 2700
C. Rs. 2800
D. Rs. 3000
A. A neither losses nor gains
B. A makes a profit of 11%
C. A makes a profit of 20%
D. B loses 20%
A. Rs. 3,750
B. Rs. 3,250
C. Rs. 2,750
D. Rs. 2,250
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