| A trader sells two watches. He has a profit of 15% on the first watch and a loss of 10% of the second watch. If the ratio of the two investment is 3: 5. What is gain or loss on the two investment taken together? |
A) 0.675 % gain
B) 0.5 % loss
C) 0.675% loss
D) 0.5 % gain
Correct Answer: C
Solution :
| Let the CP of first watch \[=3x\] |
| CP of second watch \[=5x\] |
| Total CP of watches \[=3x+5x=8x\] |
| SP of the first watch \[=\frac{100+15}{100}\times 3x=\frac{345x}{100}\] |
| SP of the second watch \[=\frac{100-10}{100}\times 5x=\frac{450x}{100}\] |
| Total SP of the watches \[=\frac{345x}{100}+\frac{450}{100}x=\frac{795x}{100}\] |
| \[\text{Loss}=CP-SP=8x-\frac{795x}{100}=\frac{5x}{100}\] |
| Loss% = \[\frac{5x}{100}\,\times \,\frac{1}{8x}\,\times \,100\,=\,\frac{5}{8}\,0.675\]% |
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