In a business A and B gained some amount in a certain ratio B and C received the profit in the same ...........

Quantitative Aptitude ( CCS) Partnership

In a business A and B gained some amount in a certain ratio. B and C received the profit in the same ratio as that of A and B. If A received Rs. 6,400 and C received Rs. 10,000. Find the share of B.

Rs. 2,000

RS. 4,000

Rs. 8,000

Rs. 10,000

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Explanation:

Let ratio of profit of A and B is a : b
∴ Ratio of profit of B and C = a : b
A : B B : C
axa : bxa axb : bxb
Note : Value of B would be same in both cases
A : B : C
a² : ab : b²
According to the question,
a² = 6400
a = 80
Similarly b² = 10,000
b = 100
Amounts received by B
= ab = 80 × 100
= Rs. 8,000