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?
50
100
150
200
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:
121 comments Page 12 of 13.

Akshayjr. said:   7 years ago
1x+2x+3x = 30.
6x = 30,
x=5.

Let;
1) 25 paise =Rs 1x5 =5 and No. Of coins = 5 * 4=20coins.
2) 10 paise =Rs 2x = 2 * 5 =Rs10 and no.of coins equal to 10 * 10 = 100 coins,
3) 5 paise= Rs 3x= 3x5=Rs15 and of coins =20 * 15= 300 coins.

Manu said:   7 years ago
@All.

According to me, the solution is;

Rs.30 = 3000p (30X100=3000).

1:2:3 = 3000.
so to find out the number of 5 p coins:
3000X (3/6) = 500X3 = 1500.

Ans: 1500

Please tell me, where I am going wrong?

Swapnil said:   7 years ago
Agree @Manu.

Please, someone, clarify it clearly.

Sahana said:   6 years ago
Why they are equated to 30?

In problem, it is given that 30 rs in all, hence it would be equated to 90, right?

Samiran biswas said:   6 years ago
1/4:2/10:3/20
5:4:3
Then ,
The Questions asked that, find the value in coins of 5 paise
(3/12)*30.
=15/2 in ripped.
And in coins 15/2*20= 150 is the answer.

Rahul said:   5 years ago
@Yhtsawakeviv.

Can you explain why 3 is multiplied here?

i.e No of 5p coins = 3x = 3*50 = 150.

Shyam Sundar said:   5 years ago
1/4*x + 1/5*x+3/20*x =30.
12x=30*20,
12x=600,
X=600/12=50,
No of 5p = 3(50) = 150.

Tomoriba Shira said:   5 years ago
Given ratios 1 : 2 : 3.
Therefore 3/6 * 300p = 150,
Here 6 we get by adding all ratios i.e( 1 + 2 + 3).

Archit said:   5 years ago
@Tomoriba
How did you got 3/6*300 p =150,
It should be 3/6*3000p =150,
Here you multiplied 30 * 10 p which is wrong.
Shouldn't we multiply 30*1000?

Iswariya said:   3 weeks ago
Ratio of paise: 25p = 1x, 10p = 2x, 5p = 3x
Rs.30 =3000p.

25 * 1x + 10 * 2x + 5 * 3x = 3000,
60x = 3000.
x=50, then 3x= 150.


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