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In a bag, there are coins of 5ps, 10ps, and 25ps in a ratio of 3 : 2 : 1. If there are Rs. 60 in all, how many 5ps coins are there?
- a)100
- b)200
- c)300
- d)400
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a bag, there are coins of 5ps, 10ps, and 25ps in a ratio of 3 : 2 :...
Given:
5p : 10p : 25p = 3 : 2 : 1 = 3x : 2x : x
Concept:
1 Rupee = 100 paise
Calculation:
60 Rupees = 60 × 100 = 6000 paise
⇒ 5 × 3x + 10 × 2x + 25 × 1x = 6000
⇒ 15x + 20x + 25x = 6000
⇒ 60x = 6000
⇒ x = 100
∴ Number of 5 paise coins = 3x = 3 × 100 = 300
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Community Answer
In a bag, there are coins of 5ps, 10ps, and 25ps in a ratio of 3 : 2 :...
To solve this problem, we need to use the given ratio of coins and the total value of the coins to find the number of 5ps coins.
Given:
Ratio of coins: 3 : 2 : 1
Value of coins: Rs. 60
Let's assume that the common ratio between the number of 5ps, 10ps, and 25ps coins is 'x'.
Number of 5ps coins = 3x
Number of 10ps coins = 2x
Number of 25ps coins = 1x
Total value of 5ps coins = 5 * (number of 5ps coins)
Total value of 10ps coins = 10 * (number of 10ps coins)
Total value of 25ps coins = 25 * (number of 25ps coins)
We can now write the equation for the total value of the coins:
5 * (number of 5ps coins) + 10 * (number of 10ps coins) + 25 * (number of 25ps coins) = 60
Substituting the values we assumed earlier:
5 * (3x) + 10 * (2x) + 25 * (1x) = 60
Simplifying the equation:
15x + 20x + 25x = 60
60x = 60
x = 1
Now, we can find the number of 5ps coins:
Number of 5ps coins = 3x = 3 * 1 = 3
Therefore, there are 3 5ps coins.
Since the options given are in hundreds, we need to multiply the answer by 100:
Number of 5ps coins = 3 * 100 = 300
Hence, the correct answer is option C) 300.
Given:
Ratio of coins: 3 : 2 : 1
Value of coins: Rs. 60
Let's assume that the common ratio between the number of 5ps, 10ps, and 25ps coins is 'x'.
Number of 5ps coins = 3x
Number of 10ps coins = 2x
Number of 25ps coins = 1x
Total value of 5ps coins = 5 * (number of 5ps coins)
Total value of 10ps coins = 10 * (number of 10ps coins)
Total value of 25ps coins = 25 * (number of 25ps coins)
We can now write the equation for the total value of the coins:
5 * (number of 5ps coins) + 10 * (number of 10ps coins) + 25 * (number of 25ps coins) = 60
Substituting the values we assumed earlier:
5 * (3x) + 10 * (2x) + 25 * (1x) = 60
Simplifying the equation:
15x + 20x + 25x = 60
60x = 60
x = 1
Now, we can find the number of 5ps coins:
Number of 5ps coins = 3x = 3 * 1 = 3
Therefore, there are 3 5ps coins.
Since the options given are in hundreds, we need to multiply the answer by 100:
Number of 5ps coins = 3 * 100 = 300
Hence, the correct answer is option C) 300.
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