Question : Two toys are sold for Rs. 504 each. One toy brings the dealer a gain of 12% and the other a loss of 4%. The gain, or loss percentage, from selling both toys is:
Option 1: $3\frac{5}{13}$% profit
Option 2: $4\frac{5}{13}$% profit
Option 3: $5\frac{1}{13}$% profit
Option 4: $2\frac{3}{13}$% profit
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Correct Answer: $3\frac{5}{13}$% profit
Solution :
For the first toy,
Selling price = Rs. 504
Gain% = 12%
504 = Cost price + 12% of Cost price
504 = 1.12 × Cost price
Cost price = Rs. 450
For the second toy,
Selling price = Rs. 504
Loss% = 4%
504 = Cost price – 4% of Cost price
504 = 0.96 × cost price
Cost price = Rs. 525
Total selling price = Rs. 504 + Rs. 504 = Rs. 1008
Total cost price = Rs. 450 + Rs. 525 = Rs. 975
Profit% = $\frac{\text{Selling price – Cost price}}{\text{Cost price}}$ × 100
= $\frac{1008-975}{975}$ × 100%
= $\frac{44}{13}$% = $3\frac{5}{13}$%
Hence, the correct answer is $3\frac{5}{13}$% profit.
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