A shopkeeper sells one more radio for Rs. 840 at a gain of 20% and ano...
Given:
Price of radio sold at a gain of 20% = Rs. 840
Price of radio sold at a loss of 4% = Rs. 960
To find: Total gain or loss percentage
Calculation:
Let's first find the cost price of each radio.
For the radio sold at a gain of 20%:
Let the cost price of the radio be x.
Selling price = Cost price + Profit
840 = x + 0.2x
840 = 1.2x
x = 700
Therefore, the cost price of the radio sold at a gain of 20% is Rs. 700.
For the radio sold at a loss of 4%:
Let the cost price of the radio be y.
Selling price = Cost price - Loss
960 = y - 0.04y
960 = 0.96y
y = 1000
Therefore, the cost price of the radio sold at a loss of 4% is Rs. 1000.
Now, let's find the total cost price and total selling price.
Total cost price = Rs. 700 + Rs. 1000 = Rs. 1700
Total selling price = Rs. 840 + Rs. 960 = Rs. 1800
Total profit or loss = Total selling price - Total cost price
= Rs. 1800 - Rs. 1700
= Rs. 100
Now, let's calculate the total gain or loss percentage.
Gain or loss percentage = (Total profit or loss / Total cost price) x 100
= (100/1700) x 100
= 5 15/17%
Therefore, the total gain or loss percentage is 5 15/17%, which is option D.