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:
122 comments Page 12 of 13.

Bala said:   1 decade ago
Seventy two coins consist of one rupee coins, 50 paise coins and 25 paise coins, their values being in the ratio 10:15:8. Find the number of 50 paise coins.

Any one can help on this to solve?

Deepi said:   1 decade ago
I like Divyanshu method. Thank you.

Ankur said:   1 decade ago
30/6 *3= 15
15*10 =150

Sweetie said:   1 decade ago
How did you get 3*50?

Divyanshu said:   2 decades ago
Its Simple
Totally we have Rs.30 = 3000p
25p,10p, 5p are in ratio of 1:2:3 (given)
We can also write it as
No. of coins of 25p = x
No. of coins of 10p = 2x
No. of coins of 5p = 3x
then,
25(x)+10(2x)+5(3x)= 3000
we will find x = 50
No. of coins of 5p = 3*50 = 150

AKSHAY said:   2 decades ago
@HABIB

u must recheck your calculations...
As 25p*50= Rs.12.5
10p*100= Rs.10
5p*150= Rs.7.5
AND they all make Rs. 30......
(1)

AKSHAY said:   2 decades ago
SRJ: you have done some thing wrong as in oyur solution 'x=150'
but that is the no. of 25p coins!!!

Habib said:   2 decades ago
I think in the ques it should be 15rs then the answer is correct !

For 30Rs one shud note that 5p coins should be maximum than any other coins (25p & 10ps) since the ratio of coins is 1:2:3.

If 150 coins had to be the answer. Then 25p & 10p shud be lesser than this... which will not in anycase amount to 30rs.

Srj said:   2 decades ago
Let the number of 25 p, 10 p and 5 p coins be x, 2x, 3x respectively.
25p of x,10p of 2x,5p of 3x;
25p=25/100=1/4;
10p=10/100=1/10;
5p=5/100=1/20;
1x/4 + 2x/10 + 3x/20=30;
5x+4x+3x=600;
12x=600 (3*50)
x=150

Aparna said:   2 decades ago
Whenever we perform any calculations
first of all it should be converted into same units

here,
1Rs.=100ps
? =25ps

we get 25/100


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