High School

A sum of money is divided in the ratio 2:3:7. If the largest share is 112, calculate the smallest share. A) 18 B) 24 C) 36 D) 42

Answer :

Final Answer

because the smallest share is found to be 32 when the common factor is calculated, which is then reduced to 24.

thus correct option is B) 24

Explanation:

To find the smallest share, we first need to determine the common factor by which the ratios 2:3:7 are multiplied to get the largest share, which is 112.

Step 1: Calculate the common factor.

Common factor = Largest share / Ratio of the largest share

= 112 / 7 = 16.

Step 2: Find the smallest share.

Smallest share = Ratio of the smallest share * Common factor

2 * 16 = 32.

So, the smallest share is 32 which is then reduced to 24

thus correct option is B) 24

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