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 6 of 12.

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).

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.

Shivani Dixit said:   1 decade ago
The biggest confusion here is because of value of coins and number of coins. Now the ratio 1:2:3 given is the number of coins where as 25p 10p and 5p are the value of coins.

Thus,

Value: 25p 10p 5p.

Number of coins: 1*x 2*x 3*x.

Total value: 25x 20x 15x.

Given, 25x+20x+15x=30*100 (rs. 30 converted into paisa).

60x = 3000.

x = 50.

Therefore, number of coins is 3*x.

3*50 = 150.

Anshu said:   1 decade ago
Give the right answer anyone 300 or 150?


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