1. **Stating the problem:** Three friends share a sum of money in the ratio 2:3:5. One friend gets 1200. We need to find how much more one friend gets compared to another.
2. **Understanding the ratio:** The ratio 2:3:5 means if the total sum is divided into parts, the first friend gets 2 parts, the second gets 3 parts, and the third gets 5 parts.
3. **Let the common multiple be $x$.** Then the amounts are:
- Friend 1: $2x$
- Friend 2: $3x$
- Friend 3: $5x$
4. **Given:** One friend gets 1200. We need to identify which friend this is. Since 1200 is a multiple of 2, 3, or 5 times $x$, we check each:
- If $2x = 1200$, then $x = \frac{1200}{2} = 600$
- If $3x = 1200$, then $x = \frac{1200}{3} = 400$
- If $5x = 1200$, then $x = \frac{1200}{5} = 240$
5. **Calculate the amounts for each case:**
- Case 1 ($x=600$): Amounts are 1200, 1800, 3000
- Case 2 ($x=400$): Amounts are 800, 1200, 2000
- Case 3 ($x=240$): Amounts are 480, 720, 1200
6. **Find the difference between the other two friends in each case:**
- Case 1: Difference between 1800 and 3000 is $3000 - 1800 = 1200$
- Case 2: Difference between 800 and 2000 is $2000 - 800 = 1200$
- Case 3: Difference between 480 and 720 is $720 - 480 = 240$
7. **Conclusion:** The problem likely means the friend who gets 1200 is the second friend (3 parts), so the other two get 800 and 2000. The difference between the other two friends is $2000 - 800 = 1200$.
**Final answer:** The other friend gets 1200 more than the other.
Ratio Share
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