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In a bag there are coins of 25 paise and 10 paise in the ratio of 5:16. If the bag contains Rs.16 then the number of 10 paise coin is
- a)86
- b)87
- c)88
- d)90
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In a bag there are coins of 25 paise and 10 paise in the ratio of 5:16...
25*5+10*16 = 285
Rs 16 = 1600
No of 10p = 1600*16/285 = 89.82 = 90
Rs 16 = 1600
No of 10p = 1600*16/285 = 89.82 = 90
Most Upvoted Answer
In a bag there are coins of 25 paise and 10 paise in the ratio of 5:16...
To solve this problem, we can use the concept of ratios and proportions.
Given:
Ratio of coins of 25 paise to 10 paise = 5:16
Total amount in the bag = Rs. 16
Let's assume the number of 25 paise coins as 5x and the number of 10 paise coins as 16x, where x is a constant.
1. Calculate the total value of 25 paise coins:
The value of one 25 paise coin is 25 paise or 0.25 rupees.
So, the total value of 5x coins of 25 paise will be 0.25 * 5x = 1.25x rupees.
2. Calculate the total value of 10 paise coins:
The value of one 10 paise coin is 10 paise or 0.10 rupees.
So, the total value of 16x coins of 10 paise will be 0.10 * 16x = 1.60x rupees.
3. Calculate the total value of all coins:
The total value of all coins is given as Rs. 16.
So, the equation becomes:
1.25x + 1.60x = 16
4. Solve the equation to find the value of x:
Adding the like terms on the left side, we get:
2.85x = 16
Dividing both sides by 2.85, we get:
x = 16 / 2.85
Calculating the value of x, we find:
x ≈ 5.614
Since we cannot have a fraction of a coin, we round down the value of x to the nearest whole number which is 5.
5. Calculate the number of 10 paise coins:
Number of 10 paise coins = 16x
Substituting the value of x, we get:
Number of 10 paise coins = 16 * 5
Number of 10 paise coins = 80
Therefore, the number of 10 paise coins in the bag is 80.
Given:
Ratio of coins of 25 paise to 10 paise = 5:16
Total amount in the bag = Rs. 16
Let's assume the number of 25 paise coins as 5x and the number of 10 paise coins as 16x, where x is a constant.
1. Calculate the total value of 25 paise coins:
The value of one 25 paise coin is 25 paise or 0.25 rupees.
So, the total value of 5x coins of 25 paise will be 0.25 * 5x = 1.25x rupees.
2. Calculate the total value of 10 paise coins:
The value of one 10 paise coin is 10 paise or 0.10 rupees.
So, the total value of 16x coins of 10 paise will be 0.10 * 16x = 1.60x rupees.
3. Calculate the total value of all coins:
The total value of all coins is given as Rs. 16.
So, the equation becomes:
1.25x + 1.60x = 16
4. Solve the equation to find the value of x:
Adding the like terms on the left side, we get:
2.85x = 16
Dividing both sides by 2.85, we get:
x = 16 / 2.85
Calculating the value of x, we find:
x ≈ 5.614
Since we cannot have a fraction of a coin, we round down the value of x to the nearest whole number which is 5.
5. Calculate the number of 10 paise coins:
Number of 10 paise coins = 16x
Substituting the value of x, we get:
Number of 10 paise coins = 16 * 5
Number of 10 paise coins = 80
Therefore, the number of 10 paise coins in the bag is 80.
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In a bag there are coins of 25 paise and 10 paise in the ratio of 5:16. If the bag contains Rs.16 then the number of 10 paise coin isa)86b)87c)88d)90Correct answer is option 'D'. Can you explain this answer?
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