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 4 of 12.

Hira kushwaha said:   1 decade ago
I think correct answer is: 300.

Let : Coin is x,

Than 25p's coin = x.
10p's coin= 2x.
5p's coin= 3x.

x+2x+3x = 30.
6x = 30.
x = 30/6 => x=5.

So. 25p's value = 5.
10p's value = 5*2 = 10.
5p's value = 5*3 = 15.

Now we get coin's no.

25p's coin 5/.25 = 20 no.
10p's coin 10/.10 = 100 no.
5p's coin15/.05 = 300 no.

Now correct answer is 300.

Shivshankar said:   1 decade ago
Confirm first whether the ratio is in the terms no.of coins or in terms of rupees.

Chakradhar behera said:   1 decade ago
Rs.100 in a bag, to calculate any way in which to get 50 coin (except Rs.2).

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)

Bhavani said:   1 decade ago
I can't able to understand the right method. Please any body tell the right way.

Vinodh said:   1 decade ago
Answer is 300:

Bag contains 30 Rupees.

Given the ratio 1:2:3.

1) 25paise - (1/6)*30 = 5 Rupees.

2) 10p - (2/6)*30 = 10 Rupees.

3) 5p - (3/6)*30 = 15 Rupees.

There are 20 no: of 5 Paise in a Rupee Therefore there will be 300 nos of 5 Paise in 15 rupees.

M.R said:   1 decade ago
Which is divided by 30 or multiplied number?

Issahaku said:   1 decade ago
In-fact I just went though various solutions to the problem. My question now is, is 300 or 150 the answer? We are confused which is which. So any further explanation?

Agrima said:   1 decade ago
Why we have taken 25 and not 125?

Vijay said:   1 decade ago
Let x is the number of 25 paisa coins then 2x and 3x will be for 10 and 5 paisa coins.

Now 30 rupees equal to 30*100 paisa now total paisa equal to x*25+2x*10+3x*5=3000.

60x = 3000.
x = 50.

Now number 5 paisa coin is 3x equal to 3*50 = 150.


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