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Question

Kate and Nora each have a sum of money. The ratio of the amount of money Kate has to that of Nora is 3:5. After Nora gives Rs. 150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7:9. Find the sum of money Kate had initially.

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Solution

Let Kate has x
and Nora has y sum of money

Now, According to Question
35=xyy=53x

After Nora gives Kate Rs.150

79=x+150y1507y1050=9x+13507y9x=24007×53x9x=2400x=900

So, Kate had Rs.900 initially

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