Quantitative Aptitude Ques 1598

Question: 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?

Options:

A) 0.675 % gain

B) 0.5 % loss

C) 0.675% loss

D) 0.5 % gain

Show Answer

Answer:

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} $ $ 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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