LIVE Course for free

Rated by 1 million+ students
Get app now
Class 8 Foundation Course
Class 9 Foundation Course
Class 10 Foundation Course
Class 11 Foundation Course
Class 12 Foundation Course
JEE COURSE
NEET COURSE
0 votes
11 views
in Aptitude by (54.3k points)
closed by

An article is sold by A at the profit of 12%. Had article been purchased for 12% less and sold for Rs. 9 less, individual A would have gained 27%. The original cost price of the article is _________


1. Rs. 3,750
2. Rs. 3,500
3. Rs. 4,000
4. Rs. 4,250

1 Answer

0 votes
by (30.0k points)
selected by
 
Best answer
Correct Answer - Option 1 : Rs. 3,750

Given:

An article is sold by A at the profit of 12%.

Had article been purchased for 12% less and sold for Rs. 9 less, individual A would have gained 27%.

Concepts used:

Profit % = (Profits/C.P.) × 100

S.P. = C.P. + Profits

Calculation:

Let C.P. of article be Rs. x.

Profit % = (Profits/C.P.) × 100

⇒ 12 = (Profits/x) × 100

⇒ Profits = 3x/25

⇒ S.P. = x + (3x/25) = 28x/25

Had article been purchased for 12% less and sold for Rs. 9 less, individual A would have gained 27%.

New C.P. = x – (12x/100) = 22x/25

⇒ New Gain % = 27

⇒ 27 = [{(28x/25) – 9 – (22x/25)}/(22x/25)] × 100

⇒ 27 = {(6x/25 -9)/(22x/25)} × 100

⇒ x = 3,750

Original cost price of article is Rs. 3,750.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...