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In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?
- a)50
- b)100
- c)150
- d)200
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 ...
Let x is the number of 25 paisa coins then 2x and 3x will be for 10 and 5 paisa coins.
Now 30 rupees equal to 30*100 paisa now total paisa equal to x*25+2x*10+3x*5=3000.
60x = 3000.
x = 50.
Now number 5 paisa coin is 3x equal to 3*50 = 150.
Most Upvoted Answer
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 ...
Let no. of 25 p coins=x; no. of 10 p coins=2x no. of 5 p coins=3x value of coins=25x +20x +15x total money=30rs=3000p a t q 60x=3000 x=50 no. of 5p coins= 3x=150
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Community Answer
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 ...
Given:
Coins of 25 p, 10 p and 5 p are in the ratio 1:2:3
Total amount in the bag = Rs. 30
To find:
Number of 5 p coins
Solution:
Let the common ratio be x
So, the number of coins will be 1x, 2x, and 3x respectively.
Total amount can be calculated as:
(25*1x + 10*2x + 5*3x)/100 = 30
Simplifying the above equation, we get:
5x = 24
x = 4.8
So, the number of coins will be 4.8, 9.6, and 14.4 respectively.
But the number of coins should be a whole number.
So, we need to round off the decimals to the nearest whole number. However, we can't round off 4.8 to 5 as it will not satisfy the ratio.
So, we need to use the nearest multiple of 5, which is 5 itself.
Hence, the number of coins will be 5, 10, and 15 respectively.
Therefore, the number of 5 p coins is 15*3 = 45.
Hence, the correct answer is option C) 150.
Coins of 25 p, 10 p and 5 p are in the ratio 1:2:3
Total amount in the bag = Rs. 30
To find:
Number of 5 p coins
Solution:
Let the common ratio be x
So, the number of coins will be 1x, 2x, and 3x respectively.
Total amount can be calculated as:
(25*1x + 10*2x + 5*3x)/100 = 30
Simplifying the above equation, we get:
5x = 24
x = 4.8
So, the number of coins will be 4.8, 9.6, and 14.4 respectively.
But the number of coins should be a whole number.
So, we need to round off the decimals to the nearest whole number. However, we can't round off 4.8 to 5 as it will not satisfy the ratio.
So, we need to use the nearest multiple of 5, which is 5 itself.
Hence, the number of coins will be 5, 10, and 15 respectively.
Therefore, the number of 5 p coins is 15*3 = 45.
Hence, the correct answer is option C) 150.
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In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?a)50b)100c)150d)200Correct answer is option 'C'. Can you explain this answer?
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