Quantitative Aptitude Ques 2184

Question: When an article was sold for Rs. 696, per cent profit earned was P%. When the same article sold for Rs. 841 per cent profit earned was $ (P+25%). $ What is the value of P? [IBPS RRB (Office Assistant) 2015]

Options:

A) 10%

B) 25%

C) 15%

D) 20%

E) 30%

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let the CP be Rs. x. Then, according to the question, $ P=\frac{696-x}{x}\times 100 $ … (i) $ P+25=\frac{841-x}{x}\times 100 $ … (ii) On subtracting Eq. (ii) and (i), we get $ 25=\frac{84100-100x-69600+100x}{x} $

$ \Rightarrow $ $ 25=\frac{14500}{x} $
$ \Rightarrow $ $ x=\frac{14500}{25}=580 $

$ \therefore $ Cost price is Rs. 580 and selling price is Rs. 696. $ \text{profit }%\text{ =}\frac{696-580}{580}\times 100=\frac{116}{580}\times 100=20% $