Final answer:
To solve for the number of 50 paise coins Suraj has, we need to use the given ratios and the total amount of money before and after giving away 20 rupees. We encounter a missing piece of information as the ratio of 25 paise to 50 paise coins is not fully provided. Assuming a complete ratio is available, we would set up a system of equations to find the number of each type of coin.
Step-by-step explanation:
We are given two ratios to work with: the ratio of 10 paise to 25 paise coins, which is 5:4, and the ratio of 25 paise to 50 paise coins. The ratio for the latter is incomplete in the question, but let's assume it's 8:x where x is the number of 50 paise coins. Suraj gave away 20 rupees and was left with 40 rupees, meaning he originally had 60 rupees in total. To find the number of 50 paise coins, we should convert the total amount of money into paise. So, 60 rupees is equal to 6000 paise.
Let's assign the letter A to the number of 10 paise coins and B to the number of 25 paise coins. According to the ratios, we have A/B = 5/4 and B/50 paise coins = 8/x. We can formulate these relationships and the total amount equation in terms of A and B and solve for the number of 50 paise coins (C).
Using the ratios and the total value equation, we set up a system of equations:
- 10A + 25B + 50C = 6000
- A/B = 5/4
- B/C = 8/x
We would first solve the ratios for A and B in terms of C. Then we would substitute into the total value equation and solve for C.
Since the ratio for 25 paise to 50 paise coins is incomplete, and assuming that the student meant to provide a complete set of information, the second part of the question cannot be fully answered without the correct ratio. However, the process outlined above is the approach one would use if all the ratios were provided.