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A shopkeeper sells one more radio for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. What is his total gain or loss percentage? 
  • a)
    5%
  • b)
    6%
  • c)
    6 12/17%
  • d)
    5 15/17%
Correct answer is option 'D'. Can you explain this answer?
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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.
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A shopkeeper sells one more radio for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. What is his total gain or loss percentage?a)5%b)6%c)6 12/17%d)5 15/17%Correct answer is option 'D'. Can you explain this answer?
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