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 9 of 12.
M.R said:
1 decade ago
Which is divided by 30 or multiplied number?
Vinodh said:
1 decade ago
Answer is 300:
Bag contains 30 Rupees.
Given the ratio 1:2:3.
1) 25paise - (1/6)*30 = 5 Rupees.
2) 10p - (2/6)*30 = 10 Rupees.
3) 5p - (3/6)*30 = 15 Rupees.
There are 20 no: of 5 Paise in a Rupee Therefore there will be 300 nos of 5 Paise in 15 rupees.
Bag contains 30 Rupees.
Given the ratio 1:2:3.
1) 25paise - (1/6)*30 = 5 Rupees.
2) 10p - (2/6)*30 = 10 Rupees.
3) 5p - (3/6)*30 = 15 Rupees.
There are 20 no: of 5 Paise in a Rupee Therefore there will be 300 nos of 5 Paise in 15 rupees.
Bhavani said:
1 decade ago
I can't able to understand the right method. Please any body tell the right way.
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)
Chakradhar behera said:
1 decade ago
Rs.100 in a bag, to calculate any way in which to get 50 coin (except Rs.2).
Shivshankar said:
1 decade ago
Confirm first whether the ratio is in the terms no.of coins or in terms of rupees.
Hira kushwaha said:
1 decade ago
I think correct answer is: 300.
Let : Coin is x,
Than 25p's coin = x.
10p's coin= 2x.
5p's coin= 3x.
x+2x+3x = 30.
6x = 30.
x = 30/6 => x=5.
So. 25p's value = 5.
10p's value = 5*2 = 10.
5p's value = 5*3 = 15.
Now we get coin's no.
25p's coin 5/.25 = 20 no.
10p's coin 10/.10 = 100 no.
5p's coin15/.05 = 300 no.
Now correct answer is 300.
Let : Coin is x,
Than 25p's coin = x.
10p's coin= 2x.
5p's coin= 3x.
x+2x+3x = 30.
6x = 30.
x = 30/6 => x=5.
So. 25p's value = 5.
10p's value = 5*2 = 10.
5p's value = 5*3 = 15.
Now we get coin's no.
25p's coin 5/.25 = 20 no.
10p's coin 10/.10 = 100 no.
5p's coin15/.05 = 300 no.
Now correct answer is 300.
Shashikant said:
1 decade ago
@Kkp.
x is the multiplying factor which when multiplied by 60 and divided by 100 gives you Rs 30.
x is the multiplying factor which when multiplied by 60 and divided by 100 gives you Rs 30.
Shantanu said:
1 decade ago
@Avi.
Please read the question again it says no of coins are in ratio 1:2:3 and not that value of 25 paise coin in total 30 rs is 1. So first find total no of coin. Then multiply it with respective denomination. You are saying as 3/6*3000=1500p so 1500/5= 300 coins. Fault is that without knowing the no of coin you straight away calculated the value of each coin although ratio is about the no of coin. Hope I have explained.
Please read the question again it says no of coins are in ratio 1:2:3 and not that value of 25 paise coin in total 30 rs is 1. So first find total no of coin. Then multiply it with respective denomination. You are saying as 3/6*3000=1500p so 1500/5= 300 coins. Fault is that without knowing the no of coin you straight away calculated the value of each coin although ratio is about the no of coin. Hope I have explained.
Njay said:
1 decade ago
25p : 10p : 5p --> Total Rs.30.
1 : 2 : 3 = 6.
5p = 3.
3/6 = 2 *30 = 150.
1 : 2 : 3 = 6.
5p = 3.
3/6 = 2 *30 = 150.
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