164 Views

Question : Akash sold a motorcycle to Navin at a profit of 10%. Navin sold it to Vinay at a profit of 20%. Vinay sold it to Vishal at a loss of 5%. If Vishal paid INR 62,700 for the motorcycle, then what was the cost of the motorcycle (in INR ) for Akash?

Option 1: 48,000

Option 2: 48,500

Option 3: 52,500

Option 4: 50,000


Team Careers360 13th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: 50,000


Solution : Here CP denotes cost price and SP denotes selling price.
SP for Vinay = INR 62700
Loss = 5%
CP for Vinay $=\frac{100}{100-\text{Loss}\%}$ × Selling price $= \frac{100}{100-5}×62700=\frac{100}{95}×62700=66000$
SP for Navin = INR 66000
Profit = 20%
CP for Navin $=\frac{100}{100+\text{Profit}\%}$ × Selling price $=\frac{100}{100+20}×66000=\frac{100}{120}×66000=55000$
SP for Akash = INR 55000
Profit = 10%
CP for Akash $=\frac{100}{100+\text{Profit}\%}$ × Selling price $=\frac{100}{100+10}×55000=\frac{100}{110}×55000=50000$
Hence, the correct answer is 50,000.

How to crack SSC CHSL

Candidates can download this e-book to give a boost to thier preparation.

Download Now

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books