Rs. 20,400 has to be divided between A, B, and C so that A gets (2/3)r

1.	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. 90002. 120003. 100004. 1200
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.

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. 90002. 120003. 100004. 1200

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.

Discussion

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