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.

Bala said:   9 years ago
25p : 10p : 5p = 1 : 2 : 3 = Rs.30.
1rs = 4 * 25p (or) 25p = 1/4.
Similarly, 10p = 1/10 and 5p = 1/20.
x/4 + 2x/10 + 3x/20 = 30.
x = 50
Answer:

25p = 50.
10p = 100.
5p = 150.

Priyanka Bulla said:   9 years ago
Could you explain why we do not take the sum of ratios in the denominator i.e. (25x/100 + 20x/100 + 15x/100)/6 ?

Because in some problems they have considered the values like 150*2 + 25*2 and then have divided by sum of ratios i.e 4. Please clarify it.

Jyoti said:   9 years ago
Please answer this question.

A box contains Rs. 56 in the form of coins of one Rupees, 50P & 25P. The number of 50P coins is double of 50P coins is double the number of 25P coins & four times the number Of one rupee coins. How many 50P coins are there in the box?

Ashu said:   9 years ago
Why we use 25p/100 and why we need base 100?

Please clarify me.

Tapan said:   9 years ago
I ask you a question.

A bag contains 187 coins. Bag contain 1 rupee coin answer 50p coin and 10p coin with ratio 3:4:5 respectively. How many 50p coin present in the bag.

Please give the answer.

Captain Veyom said:   9 years ago
Let apply proportion 1 : 2 : 3.

25p : 10p : 5p,

Rs 30 = 300 p,

3/6 * 300 = 50 * 3 = 150.

Kit4994 said:   9 years ago
There are 2 possible answers for this question.

The answer already presented by most over here, where there are 150 5p coins.

And

20 25p coins, 100 10p coins & 300 5p coins. This solution can be validated by adding the total value of all these coins.

The method is as explained by Nithyanantham.

Ritika said:   9 years ago
Why has the total sum been divided by 100?

Deepak bhadani said:   9 years ago
Solution :-
25ps 10ps 5ps
1 : 2 : 3
--------------------
Multiply and convert to rupees.

25 * 1 : 10 * 2 : 5 * 3,
25 : 20. : 15.

Sum of rupees 60 paisa,
Then find 5 paisa cine there.
Qty * find/given
30 * 5 / .60 = 150.

Rajkumar said:   9 years ago
To convert them into rupees.

You can either convert rupee to paise or paise rupee to make them in the same unit.

Here, an interesting fact is that. From the given option the only divisible by 3 is 150. So without calculating also we can answer the question in quick time.


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