Question

Divide 9620 rupees among A, B, and C such that A's share is to C share's in the ratio 2 : 3, and B's share is to C's is in the ratio 4 : 5. How much will be B receive (In rupees)
1. 2590
2. 3120
3. 2600
4. 1480

Answer 1

Correct Answer - Option 2 : 3120

Given: 

The amount = 9620 rupees, 

A : C = 2 : 3, and B : C = 4 : 5

Calculation: 

A	C	B
2	3
	5	4

Now, We make C equal in both part

A	C	B
2 × 5 = 10	3 × 5 = 15
	5 × 3 = 15	4 × 3 = 12

The ratio becomes A : C : B is 

⇒ 10 ∶ 15 ∶ 12

So, The share's B is 

⇒ [12/(10 + 15 + 12)] × 9620

⇒ (12/37) × 9620

⇒ 12 × 260

⇒ 3120 rupees

∴ The share's of B is 3120 rupees.