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 5 of 12.

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?

Pricilla said:   1 decade ago
Please give the proper answer with solution.

Richa said:   10 years ago
My answer came 300 coins.

Rs. 30 = 30*100 = 3000 p.

Ratio = 1:2:3 then 3000*3/6 = 1500 p.

i.e. 1500/5 = 300.

Therefore, there are 300 5p coins.

Isn't it correct? Please explain me.

Waleed said:   9 years ago
The right answer is 150.

We can not equate quantity to value e.g 1:2:3 or 1x+2x+3x(Q) = 3000(V).

We should equate value to value e.g 25p 10p 5p or 25x 20x 15x(V) = 3000(V).

that makes 60x=3000 and x=50.

Proof:

With the answer 150 5p coins we get,

1:2:3 = 50 100 150 , 25p 10p 5p respectively makes a value of 3000p and it is logical with the given ratio 1:2:3/50:100:150 [50 coins of 25p] [100 coins of 10p] and [150 coins of 5p].

Whereas, with the answer 300 5p coins we get,

1:2:3 = 20 100 300 , 25p 10p 5p respectively, also makes a value of 3000p but it is illogical with the ratio. It can't be 1:2:3/20:100:300.

Hope you got it :).

Raj said:   9 years ago
Total amount according to ratio is (1x25+2x10+3x5) = 60 paise.

If 60 paise ----> 3000 paise.

Then 5 paise-----> ? (5x3000/60=50).

Hence the answer is : 50 x 3 = 150( here 3 is ratio of 5p).

Jaris said:   9 years ago
If and 300 means,

As per the ratio: 100*25 +200*10 +300*5.
= 2500+2000+1500.
=6000 Paise.

So 60Rs came. So that is wrong.

If answer is 150 means,

50*25+100*10+150*5 = 1250+1000+750 = 3000.

Rs 30... So 150 is the correct answer.

Aliya said:   9 years ago
In a wallet, there are 50 p, 25 p and 1 Rs coins in the ratio 6 : 8 : 5. If the wallet contains Rs. 210 in total, find the number of 1 Rupee coins?

Suba said:   9 years ago
How will you get in last step 3?

Can you please explain.

Sandeep said:   9 years ago
Please answer.

A bag contains coins of 1rs, 50p, 25p in the ratio of their value as 13:11:7.

The total number of coins in the bag are 378, find 25p coins in a bag.


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