Quantitative Aptitude Ques 1842

Question: A dealer buys dry fruits at Rs. 100, Rs. 80 and Rs. 60 per kg. He mixes them in the ratio 3: 4: 5 by weight and sell them at a profit of 50%. At what price does he sell the dry fruits?

Options:

A) Rs. 80 per kg

B) Rs. 110 per kg

C) Rs. 95 per kg

D) Rs. 115 per kg

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ Gain $ % $ =\frac{(a+b+c)z-(ax+by+ck)}{ax+by+ck}\times 100 $ $ 50=\frac{(3+4+5)z-(100\times 3+80\times 4+60\times 5)}{100\times 3+80\times 4+60\times 5}\times 100 $
    $ \Rightarrow $ $ 50=\frac{12z-(300+320+300)}{300+320+300}\times 100 $

$ \Rightarrow $ $ 12z=1380 $
$ \Rightarrow $ $ z=Rs.115perkg $

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