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:
117 comments Page 2 of 12.

Omkar shinde said:   4 years ago
Please help me to understand this.
(6)

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?

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).

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.

Rahul said:   5 years ago
@Yhtsawakeviv.

Can you explain why 3 is multiplied here?

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

Yhtsawakeviv said:   5 years ago
We can simply write;

1/4x + 1/10 * 2x + 1/20 * 3x = 30
Then after multiplying and taking LCM.
5x + 4x + 3x = 30 * 20,
x = 600/12,
x = 50.

So, No. of 5p coins = 3x = 3*50 = 150.
(1)

Samiran biswas said:   5 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.

Sandhiya said:   5 years ago
First convert 30rs to paise , ie 3000p.

Now, 25p:10p:5p = 1:2:3.
And given that, their sum is 3000p.
So, 25x + 10(2x) + 5(3x) = 3000 paise
60x = 3000
x=50.

So the value of 5p is 5*3*50 = 750.
But they asked No. Of 5p coins so, -> 750/5 = 150.
(3)

Sahana said:   5 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?

MANU said:   6 years ago
Ratio in amount in paisa 25:20:15.
No.of 5 paisa coins = (15x3000)/(60x5).
= 150 coins.
(1)


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