LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
11 views
in Mathematics by (59.9k points)
closed by
Rs. 20,400 has to be divided between A, B, and C so that A gets (2/3)rd of what B gets and B gets (1/4)th of what C gets. How much more does C gets than A(in Rs.) ?
1. 9000
2. 12000
3. 10000
4. 1200

1 Answer

0 votes
by (110k points)
selected by
 
Best answer
Correct Answer - Option 2 : 12000

Given:

Rs. 20,400 has to be divided between A, B, and C so that A gets (2/3)rd of what B gets and B gets (1/4)th of what C gets.

Calculations: 

According to the question,

A = (2/3)B, B = (1/4)C

So, A ∶ B ∶ C = (2/3)B ∶ B ∶ (4)B = 2 ∶ 3 ∶ 12

Let A, B, and C be 2x, 3x and 12x respectively.

According to the question 

⇒ 2x + 3x + 12x = 20400

⇒ 17x = 20400

⇒ x = 1200

C's share = 1200 × 12 = 14400

A's share = 1200 × 2 = 2400

Difference between C and A = 14400 – 2400 = Rs. 12000

∴ C gets Rs. 12000 more than A.

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

...