A book seller sells a book at a profit of 10%. If he had bought it at 4% less

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RRB TC CC Exam (Chandigarh) 2008 click here to view all questions

A book seller sells a book at a profit of 10%. If he had bought it at 4% less and sold it for Rs.6 more, he would have gained $$18\frac{3}{4}%$$. The cost price of the book is

ARs.130

BRs.140

CRs.150

DRs.160

pavan ? Apr 6 '2018 at 13:37

Correct Answer:

C) Rs.150

Explanation:

Let CP = x

The, SP =\(\Large\frac{110x}{100} = Rs.\frac{11x}{10}\)

Now, CP = 96% of x =\(\Large\frac{96x}{100} = Rs.\frac{24x}{25}\)

Now according to the question,

SP = Rs.\(\left( \frac{11x}{10} + 6 \right)\)

\(\left( \frac{11x}{10} + 6 \right) = \Large118\frac{3}{4}% of \frac{24x}{25}\)

\(\Large\frac{11x + 60}{10} = \frac{475}{400}\times\frac{24x}{25} = \frac{57x}{50}\)

\(\implies 550x + 3000 = 570x \)
\(20x = 3000\)
\(X = \Large\frac{3000}{20} = 150\)

CP = 150

 

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Correct Answer: C) Rs.150 Explanation: Let CP = x The, SP =\(\Large\frac{110x}{100} = Rs.\frac{11x}{10}\) Now, CP = 96% of x =\(\Large\frac{96x}{100} = Rs.\frac{24x}{25}\) Now according to the question, SP = Rs.\(\left( \frac{11x}{10} + 6 \right)\) \(\left( \frac{11x}{10} + 6 \right) = \Large118\frac{3}{4}% of \frac{24x}{25}\) \(\Large\frac{11x + 60}{10} = \frac{475}{400}\times\frac{24x}{25} = \frac{57x}{50}\) \(\implies 550x + 3000 = 570x \) \(20x = 3000\) \(X = \Large\frac{3000}{20} = 150\) CP = 150   pavan ? answered Apr 6 '2018 at 13:37 All Comments

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