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 3 of 12.

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)

Swapnil said:   6 years ago
Agree @Manu.

Please, someone, clarify it clearly.

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?

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.

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)

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)

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.

Kalyani said:   7 years ago
Clear method, Thanks @Divyanshu.

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.

Mahaveer kumar said:   7 years ago
Thanks @Divyanshu.


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