Aptitude - Ratio and Proportion - Discussion
Discussion Forum : Ratio and Proportion - General Questions (Q.No. 15)
15.
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?
Answer: Option
Explanation:
Let the number of 25 p, 10 p and 5 p coins be x, 2x, 3x respectively.
| Then, sum of their values = Rs. |  |
25x | + | 10 x 2x | + | 5 x 3x |  |
= Rs. | 60x |
| 100 | 100 | 100 | 100 |
 |
60x | = 30 |  x = |
30 x 100 | = 50. |
| 100 | 60 |
Hence, the number of 5 p coins = (3 x 50) = 150.
Discussion:
117 comments Page 2 of 12.
Jalapathy said:
8 years ago
25p * 1:10p*2:5p*3=25:20:15.
Total coins =25+20+15=60
We convert Rs.30 by Paisa because given values are Paisa.
30*100=3000
Formula
What is asked, given value/what is given
5p in bag?
So
15*3000/60 =750
In our final conclusion is total 5p coin in bag
750/5p. =150 ans.
Total coins =25+20+15=60
We convert Rs.30 by Paisa because given values are Paisa.
30*100=3000
Formula
What is asked, given value/what is given
5p in bag?
So
15*3000/60 =750
In our final conclusion is total 5p coin in bag
750/5p. =150 ans.
Umer said:
2 years ago
30 rupees = 3000p.
The sum of three ratios (1:2:3)=6.
1 ratio =3000/6= 500 paisa.
When the 1 ratio is equal to 500 paise then the 3 ratio is equal to 500×3 which is equal to 1500 paisa.
And to convert 1500 paisa into 5 paisa coins we divide 1500 by 5 which is equal to 300.
Hence, 300 is the right answer.
The sum of three ratios (1:2:3)=6.
1 ratio =3000/6= 500 paisa.
When the 1 ratio is equal to 500 paise then the 3 ratio is equal to 500×3 which is equal to 1500 paisa.
And to convert 1500 paisa into 5 paisa coins we divide 1500 by 5 which is equal to 300.
Hence, 300 is the right answer.
(49)
Inderpal Singh said:
8 years ago
@Habib.
Please guide me where I am going wrong:
Total Amount is Rs 30 = 30 x 60 = 1800p.
Ratio of the coins is 1:2:3 for 25p, 10p, 5p.
Assuming total coins count is n:
(25 x (1/6)n) + (10 x (2/6)n) + (5 x (3/6)n) = 1800.
(25n + 20n + 15n)/6 = 1800.
60n/6 = 1800.
n = 180.
3/6n = 90.
Where is the wrong?
Please guide me where I am going wrong:
Total Amount is Rs 30 = 30 x 60 = 1800p.
Ratio of the coins is 1:2:3 for 25p, 10p, 5p.
Assuming total coins count is n:
(25 x (1/6)n) + (10 x (2/6)n) + (5 x (3/6)n) = 1800.
(25n + 20n + 15n)/6 = 1800.
60n/6 = 1800.
n = 180.
3/6n = 90.
Where is the wrong?
Kit4994 said:
9 years ago
There are 2 possible answers for this question.
The answer already presented by most over here, where there are 150 5p coins.
And
20 25p coins, 100 10p coins & 300 5p coins. This solution can be validated by adding the total value of all these coins.
The method is as explained by Nithyanantham.
The answer already presented by most over here, where there are 150 5p coins.
And
20 25p coins, 100 10p coins & 300 5p coins. This solution can be validated by adding the total value of all these coins.
The method is as explained by Nithyanantham.
Jenny said:
7 years ago
Thanks @Divyanshu your method is very easy.
But if you find the values for other 10 paise and 25 paise, the total amount Rs. 30 (given in the problem) is not matched with the final answer. Anyone can clear my doubt?
How to find the values for 10 paise and 25 paise? Please tell me.
But if you find the values for other 10 paise and 25 paise, the total amount Rs. 30 (given in the problem) is not matched with the final answer. Anyone can clear my doubt?
How to find the values for 10 paise and 25 paise? Please tell me.
Jalandhar said:
7 years ago
The coins are 25p, 10p, 5p.
So ratio of value among these coins is 25:10:5 = 5:2:1
The ratio of coins in the bag is 1:2:3,
Multiply both ratios.
1:2:3
5:2:1
= 5:4:3.
5p coins are = 3/12 * 30 = 7.5 rupees.
For 1 rupee 20 5p coins, then for 7.5 rupees 5p coins = 7.5*20=150.
So ratio of value among these coins is 25:10:5 = 5:2:1
The ratio of coins in the bag is 1:2:3,
Multiply both ratios.
1:2:3
5:2:1
= 5:4:3.
5p coins are = 3/12 * 30 = 7.5 rupees.
For 1 rupee 20 5p coins, then for 7.5 rupees 5p coins = 7.5*20=150.
AbhayM said:
1 decade ago
Shortcut:
Let us assume that there is only 25 paise coin, which implies there are 2 10 paise coins, 3 5 paise coins.
The total value adds upto:
1*25+2*10+3*5 = 60 paise.
But total we have 3000 paise.
So 3000/60 = 50.
So multiplying 50*3 we get 150 coins of 10 paise.
Let us assume that there is only 25 paise coin, which implies there are 2 10 paise coins, 3 5 paise coins.
The total value adds upto:
1*25+2*10+3*5 = 60 paise.
But total we have 3000 paise.
So 3000/60 = 50.
So multiplying 50*3 we get 150 coins of 10 paise.
(1)
Rajkumar said:
9 years ago
To convert them into rupees.
You can either convert rupee to paise or paise rupee to make them in the same unit.
Here, an interesting fact is that. From the given option the only divisible by 3 is 150. So without calculating also we can answer the question in quick time.
You can either convert rupee to paise or paise rupee to make them in the same unit.
Here, an interesting fact is that. From the given option the only divisible by 3 is 150. So without calculating also we can answer the question in quick time.
Jaris said:
9 years ago
If and 300 means,
As per the ratio: 100*25 +200*10 +300*5.
= 2500+2000+1500.
=6000 Paise.
So 60Rs came. So that is wrong.
If answer is 150 means,
50*25+100*10+150*5 = 1250+1000+750 = 3000.
Rs 30... So 150 is the correct answer.
As per the ratio: 100*25 +200*10 +300*5.
= 2500+2000+1500.
=6000 Paise.
So 60Rs came. So that is wrong.
If answer is 150 means,
50*25+100*10+150*5 = 1250+1000+750 = 3000.
Rs 30... So 150 is the correct answer.
Divyanshu said:
1 decade ago
Its Simple
Totally we have Rs.30 = 3000p
25p,10p, 5p are in ratio of 1:2:3 (given)
We can also write it as
No. of coins of 25p = x
No. of coins of 10p = 2x
No. of coins of 5p = 3x
then,
25(x)+10(2x)+5(3x)= 3000
we will find x = 50
No. of coins of 5p = 3*50 = 150
Totally we have Rs.30 = 3000p
25p,10p, 5p are in ratio of 1:2:3 (given)
We can also write it as
No. of coins of 25p = x
No. of coins of 10p = 2x
No. of coins of 5p = 3x
then,
25(x)+10(2x)+5(3x)= 3000
we will find x = 50
No. of coins of 5p = 3*50 = 150
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