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₹74,000 were divided among A, B and C, such that 9 times of A = 3 times of B = 7 times of C. Find the share of A.
Question

₹74,000 were divided among A, B and C, such that 9 times of A = 3 times of B = 7 times of C. Find the share of A.

A.

₹13,865

B.

₹14,000

C.

₹13,816

D.

₹14,194

Correct option is B

Given:

Total amount = ₹74,000

9A = 3B = 7C

Find the share of A

Solution: 

9A = 3B = 7C = k 

A=k9, B=k3, C=k7A = \frac{k}{9}, \ B = \frac k3,\ C = \frac k7 ​​

Ratio; A : B : C = k9:k3:k7\frac{k}{9}: \frac k3 : \frac k7

= 7 : 21 : 9 

Share of A = 737×74000=14000\frac{7}{37} \times 74000 =₹14000 ​

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