Question

rs.60,000 is divided among a, b and c in such a way that a : b = 5 : 2 and b : c = 7 : 13. find the a’s share.

Answer 1

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Here is the solution:

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Ratio a : b = 5 : 2  (given)

Multiply by 7 times:

Ratio a : b = 35  : 14

Ratio b : c = 7 : 13 (Given)

Multiply by 2 times:

Ratio b : c = 14 : 26

Combining the ratio:

Ratio a : b : c = 35  : 14 : 26

Define x:

Ratio a : b : c = 35  : 14 : 26

Let x be the constant ratio

Ratio a : b : c = 35x  : 14x : 26x

Find 1 share:

35x + 14x + 26x = 60000

75x = 60000

x = Rs 800

Find the share for a:

x = 800

35x = 35 (800) = Rs 28000

Answer: A's share is Rs 28000