10 Views

Question : A shopkeeper marks an article at such a price that after giving a discount of $12 \frac{1}{2} \%$ on the marked price, he still earns a profit of 15%. If the cost price of the article is Rs. 385, then the sum of the marked price and the selling price (in Rs.) of the article is:

Option 1: 948.75

Option 2: 849.5

Option 3: 984.75

Option 4: 954.75


Team Careers360 11th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 948.75


Solution : Let the marked price as MP and the selling price as SP.
Given that the shopkeeper earns a profit of 15%, the selling price SP is 115% of the cost price.
⇒ SP = 1.15 × CP = 1.15 × 385 = Rs. 442.75
Also, given that the shopkeeper gives a discount of $12 \frac{1}{2} \%$ on the marked price, the selling price SP is 87.5% of the marked price.
⇒ SP = 0.875 × MP
Substituting `SP` from the first equation into the second equation,
⇒ 442.75 = 0.875 × MP
⇒ MP = $\frac{442.75}{0.875}$ = Rs. 506
Therefore, the sum of the marked price and the selling price,
⇒ MP + SP = 506 + 442.75 = Rs. 948.75
Hence, the correct answer is 948.75.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

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