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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.) ?

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.) ? Correct Answer 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.

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