Question

If A’s money to B’s money is 4 : 5 and B’s money to C’s money is 2 : 3 and A has Rs. 800. Then total money among A, B and C is
1. Rs. 2,790
2. Rs. 3,100
3. Rs. 3,300
4. Rs. 3,620

Answer 1

Correct Answer - Option 3 : Rs. 3,300

Given:

Share of A = Rs 800

Calculation:

A ∶ B = 4 ∶ 5      ----(1)

And, B ∶ C = 2 ∶ 3      ----(2)

Multiplying eq (1) with 2

A ∶ B = 8 ∶ 10

Multiplying eq (2) with 5

B ∶ C = 10 ∶ 15  

Now, A ∶ B ∶ C = 8 ∶ 10 ∶ 15

Let A, B, C be 8x, 10x, 15x respectively

Now, According to the question

8x = 800

⇒ x = 100

Total Money = 8x + 10x + 15x = 33x = 3300

∴ The total money among A, B and C is Rs 3300