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2,120 LE were divided between two persons in the ratio of 2:3. What is the smaller share?

A. 72 LE
B. 24 LE
C. 36 LE
D. 48 LE

Answer :

Sure, let's work through the problem step by step to find the smaller share when 120 LE is divided between two persons in the ratio of 2:3.

1. Understand the ratio:
- The ratio 2:3 means that for every 2 parts one person gets, the other person gets 3 parts.

2. Total parts in the ratio:
- Add the parts of the ratio together: [tex]\( 2 + 3 = 5 \)[/tex]

3. Value of one part:
- Divide the total amount of money (120 LE) by the total parts: [tex]\( \frac{120}{5} = 24 \)[/tex]

4. Calculate the smaller share:
- The smaller share corresponds to the person who gets 2 parts.
- Multiply the value of one part by the number of parts this person gets: [tex]\( 2 \times 24 = 48 \)[/tex]

So, the smaller share in the ratio of 2:3 when 120 LE is divided is:

[tex]\( \boxed{48 \text{ LE}} \)[/tex]

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