Two men shared the cost of a business in the ratio 2:3. if the smaller share is 75000, find the total cost of the business?



Answer :

The total cost of business is 1,87,500

We are given the ratio of shares of two men. So, let the share of first person be 2x and share of second person be 3x.

It is also stated that smaller share is 75000. Out of the two shares, 2x is the smaller one. So, relating the two statements -

2x = 75000

x = 75000 ÷ 2

Performing division

x = 37500

So, finding the larger share now -

Larger share = 3x

Larger share = 3×37500

Performing multiplication

Larger share = 112500

Total cost of business = Smaller share + Larger share

Total cost of business = 75000 + 112500

Total cost of business = 1,87,500

Hence, the total cost of business is 1,87,500.

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