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)

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)

AKSHAY said:   1 decade ago
@HABIB

u must recheck your calculations...
As 25p*50= Rs.12.5
10p*100= Rs.10
5p*150= Rs.7.5
AND they all make Rs. 30......
(1)

Vikas sharma said:   1 decade ago
@depanshu shortcut is correct and it is the shortest method

Totally we have Rs.30 = 3000p.

25p,10p, 5p are in ratio of 1:2:3 (given).

We can also write it as
No. of coins of 25p = x
No. of coins of 10p = 2x
No. of coins of 5p = 3x

Then,
25(x)+10(2x)+5(3x)= 3000
We will find x = 50.

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

AbhayM said:   1 decade ago
Shortcut:

Let us assume that there is only 25 paise coin, which implies there are 2 10 paise coins, 3 5 paise coins.

The total value adds upto:

1*25+2*10+3*5 = 60 paise.

But total we have 3000 paise.

So 3000/60 = 50.

So multiplying 50*3 we get 150 coins of 10 paise.
(1)

Sutha said:   9 years ago
Q1)-A bag contains 1-rupee , 50 paise and 25 paise coins in the ratio 8 : 5 :3. If the total amount of money in the box is Rs 112.50 , the number of 50 paise coins is?

Answer the question.
(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)

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)

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)


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