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Kamal and her sister together have Rs 2,100. On taking Rs 300 from her sister, Kamal will have the same amount as what her
sister had earlier. Find the ratio of the intial amounts that Kamal and her sister had.
3:4
1:1
4:3
5:9
Sure! Let's break down the problem:
- Kamal and her sister together have Rs 2,100. This means their combined amounts total Rs 2,100.
- Let Kamal's initial amount be K and her sister's initial amount be S. So, K + S = 2100.
- If Kamal takes Rs 300 from her sister, Kamal’s new amount becomes K + 300 and her sister’s new amount becomes S - 300.
- According to the problem, K + 300 = S (Kamal will have the same amount as what her sister had earlier).
Let's solve these equations:
- From K + 300 = S, we get S = K + 300.
- Substitute S = K + 300 in K + S = 2100:
- K + (K + 300) = 2100
- 2K + 300 = 2100
- 2K = 1800
- K = 900
So, initially, Kamal had Rs 900 and her sister had Rs 1200.
- Ratio of Kamal's amount to her sister's amount initially is 900:1200 = 3:4.
- Option:1, 3:4 is the correct answer.
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