A sum of Rs. x is divided between A, B, C and D such that the ratio of

1.	A sum of Rs. x is divided between A, B, C and D such that the ratio of the share of A and B is 2 : 3, that of B and C is 8 : 9 and that of C and D is 3 : 4. If C's share is Rs. 4,347, then the value of x is:1. 16,5832. 16,7883. 16,6864. 16,422
Answer» Correct Answer - Option 1 : 16,583 Given: A : B = 2 : 3 B : C = 8 : 9 C : D = 3 : 4 C = Rs. 4347 Calculation: A sum of Rs. x is divided between A, B, C and D ⇒ A : B = 2 : 3 = (2 × 8 × 3)/(3 × 8 × 3) ⇒ 48/72 ⇒ B : C = 8 : 9 = (3× 8 × 3)/(9 × 3 × 3) ⇒ 72/81 ⇒ C : D = 3 : 4 = (9 × 3 × 3)/(4 × 9 × 3) ⇒ 81/108 ⇒ A : B : C : D = 48 : 72 : 81 : 108 ⇒ A : B : C : D = 16 : 24 : 27 : 36 According to question C = Rs. 4347 ⇒ 27 unit = Rs. 4347 ⇒ 103 unit = Rs. x ⇒ x = (4347 × 103)/27 ⇒ x = Rs. 16583 ∴ The value of x is Rs. 16583

A sum of Rs. x is divided between A, B, C and D such that the ratio of the share of A and B is 2 : 3, that of B and C is 8 : 9 and that of C and D is 3 : 4. If C's share is Rs. 4,347, then the value of x is:1. 16,5832. 16,7883. 16,6864. 16,422

Answer» Correct Answer - Option 1 : 16,583

Given:

A : B = 2 : 3

B : C = 8 : 9

C : D = 3 : 4

C = Rs. 4347

Calculation:

A sum of Rs. x is divided between A, B, C and D

⇒ A : B = 2 : 3 = (2 × 8 × 3)/(3 × 8 × 3)

⇒ 48/72

⇒ B : C = 8 : 9 = (3× 8 × 3)/(9 × 3 × 3)

⇒ 72/81

⇒ C : D = 3 : 4 = (9 × 3 × 3)/(4 × 9 × 3)

⇒ 81/108

⇒ A : B : C : D = 48 : 72 : 81 : 108

⇒ A : B : C : D = 16 : 24 : 27 : 36

According to question C = Rs. 4347

⇒ 27 unit = Rs. 4347

⇒ 103 unit = Rs. x

⇒ x = (4347 × 103)/27

⇒ x = Rs. 16583

∴ The value of x is Rs. 16583

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