A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is:
papay dey Answered question February 18, 2025
Let’s denote the Cost Price (CP) of the first transistor as x and the second transistor as y.
For the first transistor:
Selling Price (SP) = Rs. 840
Gain = 20%
CP = x
SP = CP + 20% of CP
840 = x + 0.2x
840 = 1.2x
x = 840 / 1.2
x = 700
For the second transistor:
SP = Rs. 960
Loss = 4%
CP = y
SP = CP – 4% of CP
960 = y – 0.04y
960 = 0.96y
y = 960 / 0.96
y = 1000
Total CP = 700 + 1000 = 1700
Total SP = 840 + 960 = 1800
Since Total SP > Total CP, there is a profit.
Profit = Total SP – Total CP
= 1800 – 1700
= 100
Profit Percentage = (Profit/Total CP) × 100
= (100/1700) × 100
= 5.88%
The total gain percentage is 5.88%.
papay dey Answered question February 18, 2025
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