Aptitude - Ratio and Proportion - Discussion

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.

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).

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 :).

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.

Please give the proper answer with solution.

Give the right answer anyone 300 or 150?

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.

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.

Why we have taken 25 and not 125?

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?