Question

Rs. 750 are divided among A, B and C in such a manner that A : B = 5 : 2 and B : C = 7 : 13, What is A’s share?

Answer 1

Answer:

A's share is ₹350

Explanation :

Question says that, A sum of ₹750 is to shared among A, B, and C in such that, A : B = 5 : 2 and B : C = 7 : 13.

Find A's share.

Given ratio :

→ A : B = 5 : 2

→ B : C = 7 : 13

Solving for A : B : C :

A : B = 5 : 2

B : C = 7 : 13

A : B : C = 35 : 14 : 26

Now,

₹750 is to be shared in this ratio.

Let's assume the common ratio as ‘a’ units.

So, the share of :

• A = 35a
• B = 14a
• C = 26a

According to the question :

→ 35a + 14 a + 26a = 750

→ 75a = 750

→ a = 750/75

→ a = 10

Therefore, the common ratio is 10 units.

Hence, A's share is : 35a = 35(10) = ₹350

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