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 10 of 12.

Remi said:   7 years ago
1 Rupee = 100 paise

30Rs = 3000 paise.
25p : 10p : 5p = 1 : 2 : 3,
25*X + 10*2X + 5*3X = 3000,
60X = 3000,
X = 50,
25*50 = 1250,
10*2*50 = 1000,
5*3*50 = 750.

Bratish said:   7 years ago
25 paisa=1/4 rupee.
10 paisa=1/10 rupee.
5 paisa=1/20 rupee.

Assume that;
x/4:2x/10:3x/20.
then simplify ratio.
5x:4x:3x.

Then;
5x+4x+3x=30.
x=30/12;
So 3x rupees means
(30/12)*3=7.5;
and 5 paisa means
7.5*20=150.
(1)

Raju said:   6 years ago
1 Rs = 100 praise
25p,10p,5p.

Ratio = 1:2:3.
Then 25*x + 10*2x + 5*3x = 30*100.
25x + 20x + 15x = 3000.
60x = 3000.
X = 3000/60.
X = 50.
(1)

Akshayjr. said:   6 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:   6 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:   6 years ago
Agree @Manu.

Please, someone, clarify it clearly.

GuruVardhan said:   6 years ago
Let 30rs = 300p.
So 1x+2x+3x = 300.
x = 50.

So 1x:2x:3x = 50:100:150.
Ans is 150.
(1)

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

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?

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)


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