In a bag, there are coins of 5ps, 10ps and 25ps in the ratio of 3:2:1. If there are Rs. 60 in all, how many 5ps coins are there?
300
To find out how many 5 ps coins are there, we need to use the given information about the ratio of the coins and the total amount of money:
- Let the number of 5 ps coins be \(3x\), the number of 10 ps coins be \(2x\), and the number of 25 ps coins be \(x\), as they are in the ratio 3:2:1.
- The total value of these coins is given as Rs. 60, which is equivalent to 6000 paise.
- Calculate the total value in paise using the formula: \(3x \times 5\text{ps} + 2x \times 10\text{ps} + x \times 25\text{ps} = 6000 \text{ps}\)
- Simplify the equation:
- \(15x + 20x + 25x = 6000\)
- \(60x = 6000\)
- \(x = \frac{6000}{60} = 100\)
- Now, substitute back to find the number of 5 ps coins:
- \(3x = 3 \times 100 = 300\)
Therefore, the number of 5 ps coins is 300. The correct answer is 300.
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