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 1 of 12.

Prosenjit Sikdar said:   8 months ago
1 : 2: 3
Let real value is;
k:2k:3k.

So,
K + 2k + 3k = 300(30rupees = 300paisa).
6k = 300
k = 50
3k = 3 * 50 = 150.
(33)

David Grace said:   1 year ago
To solve this problem, we first need to find the total value of each type of coin and then use the given information to determine the number of 5 p coins.

Let's denote:
-( x) as the number of 25 p coins,
-( 2x) as the number of 10 p coins (since it's twice the number of 25 p coins),
-( 3x) as the number of 5 p coins (since it's thrice the number of 25 p coins).

The total value of the coins can be expressed as:
[ 25x + 10(2x) + 5(3x) = 3000] (converted Rs. 30 into paise).

Solve for (x):

[ 25x + 20x + 15x = 3000]
[ 60x = 3000]
[ x = frac{3000}{60}]
[x = 50]
Now, we know that there are 50 coins of 25 paise each.
So, the number of 5 paise coins is ( 3x = 3 * 50 = 150).
Therefore, there are 150 - 5 paise coins in the bag.
(16)

Manoj Gyawali said:   1 year ago
Let,
25p=1x,
10p=2x and 5p=3x.

Rs 30 = 30 * 100 = 3000p,
We know that;
1x + 2x + 3x = 3000,
x= 50.
Now.
5p= 3x.
5p= 3*50.
5p= 150.
(18)

Umer said:   2 years ago
30 rupees = 3000p.
The sum of three ratios (1:2:3)=6.

1 ratio =3000/6= 500 paisa.
When the 1 ratio is equal to 500 paise then the 3 ratio is equal to 500×3 which is equal to 1500 paisa.
And to convert 1500 paisa into 5 paisa coins we divide 1500 by 5 which is equal to 300.
Hence, 300 is the right answer.
(49)

Deepak Kumar Biswal said:   3 years ago
25p. 10p. 5p.
1/4 : 2/10 : 3/20/

LCM=20, then the ratio is 5:4:3.
Sum of the ratio =12---------60
1---------5
Then 5 = 25,4 = 20,3 = 15.

Convert into coin then 5p coin = 100 * 15/20 = 300.
That's the right answer.
(18)

Kartik pandey said:   3 years ago
5 paisa coin ratio value is 3.

So the answer must be multiple of 3 first try to check its multiple.
(42)

Rabia said:   4 years ago
Rs.1=100p.
Rs.30=3000p,
Total Paisas inside = 3000p,
Sum of ratios= 1+2+3=6.
For the third ratio i.e for 5p, the equation will be: 3/6*3000÷ 3= 50.
(12)

Ganesh said:   4 years ago
We convert 30Rs into paisa = 3000paisa .
Given= 25p,10p and 15p.
Given ratio 1:2:3.

So we 25 * 1x+10 * 2x+15 * 3x = 3000.
60x =3000.
X=50.

Therefore.
3*50 =150.
It's right one.
(51)

Bhuvi said:   4 years ago
I think it's simple because see the question what they ask how many 5p coins?

i.e 25p, 10p, 5p the ratio 1:2:3 the cost is 30rps so we can easily solve this. 5*30 =150.
(16)

Reena said:   4 years ago
30 Rs = 3000 PAISE.
25X + 20 X+ 15 X=3000,
60X = 3000,
X =50,
3(50) = 150.
(26)


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