Question

A sum of Rs. 16,380 is divided among A, B, C, and D such that the ratio of the shares of A and B is 1 ∶ 3, that B and C is 2 ∶ 5, and C and D is 2 ∶ 3. The share (in Rs.) of C is:
1. 5,400
2. 8,100
3. 6,300
4. 4,500

Answer 1

Correct Answer - Option 1 : 5,400

Given:

Amount divide among A, B, C, D = Rs.16,380

A : B = 1 : 3

B : C = 2 : 5

C : D = 2 : 3

Calculation:

Step 1  

A	B	C	D
1	3
	2	5
		2	3

Step 2

A	B	C	D
1	3	3	3
2	2	5	5
2	2	2	3

Step 3

A : B : C : D = (1 × 2 × 2) : (3 × 2 × 2) : (3 × 5 × 2) : (3 × 5 × 3)

⇒ A : B : C : D = 4 : 12 : 30 : 45

Now, (4 + 12 + 30 + 45)R = 16,380

⇒ 91R = 16380

⇒ R = 180 

⇒ 30R = 180 × 30

⇒ 30R = 5400

∴ The share of C is Rs. 5400.