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Ratio and Proportion
Pratik and Rohin invested a sum of Rs 84,000 in a business. If the ratio of
their shares is 7:5, how much money did each of them invest?

Sagot :

Certainly! Let's solve the problem using the given ratio and total investment amount.

1. Understand the given information:
- Total investment = ₹84,000
- Ratio of Pratik's share to Rohin's share = 7:5

2. Combine the parts of the ratio to represent the whole:
- Total parts in the ratio = 7 (Pratik's part) + 5 (Rohin's part)
- Total parts = 7 + 5 = 12

3. Determine the value of one part of the ratio:
- Each part value = Total investment / Total parts
- Each part value = ₹84,000 / 12
- Each part value = ₹7,000

4. Calculate Pratik's investment:
- Pratik's investment = Number of parts Pratik has Each part value
- Pratik's investment = 7 parts
₹7,000
- Pratik's investment = ₹49,000

5. Calculate Rohin's investment:
- Rohin's investment = Number of parts Rohin has Each part value
- Rohin's investment = 5 parts
₹7,000
- Rohin's investment = ₹35,000

In conclusion, Pratik invested ₹49,000 and Rohin invested ₹35,000.