Raju purchased an item for Rs. 8200 and sold it at a gain of 25% . From that amount he purchased another item and sold it at a loss of 20% . What is his overall gain loss ?
A. Loss of Rs. 120
B. Gain of Rs. 120
C. Loss of Rs. 140
D. Neither loss nor gain
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {\text{Initial investment}} \cr & = {\text{Rs}}.8200 \cr & {\text{S}}{\text{.P}}{\text{.of }}{{\text{1}}^{{\text{st}}}}{\text{ term}} \cr & = {\text{Rs}}.\left( {\frac{{125}}{{100}} \times 8200} \right) \cr & = {\text{Rs}}{\text{. }}10250 \cr & {\text{C}}{\text{.P}}{\text{.of }}{{\text{2}}^{{\text{nd}}}}{\text{ term}} \cr & = {\text{Rs}}{\text{. }}10250 \cr & {\text{loss}} = 20\% \cr & {\text{Final receipt}} \cr & = {\text{S}}{\text{.P}}{\text{.of }}{{\text{2}}^{{\text{nd}}}}{\text{ term}} \cr & = {\text{Rs}}.\left( {\frac{{80}}{{100}} \times 10250} \right) \cr & = {\text{Rs}}{\text{. }}8200 \cr} $$Since initial investment = final receipt, there was neither gain nor loss.
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
Join The Discussion