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 10 of 12.

Atul1487 said:   1 decade ago
25p : 10p : 5p

Coin = 1 : 2 : 3
______________

Total = 0.25 + 0.20 + 0.15 = 0.60

5p = 30x3x100/60.

= 150 coins.

Atul1487 said:   1 decade ago
1 Rs = 100.
30 Rs = 3000.

So 1+2+3 = 6.
3/6*3000 = 150.

5p coins is 150.

Meghana said:   1 decade ago
Can we solve this way.

There is 1 25 paisa, 2 10 paisa, 3 15 paisa.
That means 25:20:15.
25+20+15 = 60.

For 60ps........ 30
100...... ?

100*30/60 = 50

Total coins is 50 then no of 5ps coins = 3*50 = 150.

Avi said:   1 decade ago
Why can't we do like this :

25p : 10p : 5p in ratio of 1:2:3 to form total sum of 30 rupee.

So we can say that 1/6 th of 30 rupees form by 25p coins (i.e 5 rupee),
2/6th of 30 rupee form by 10p coins (i.e 10 rupee),
3/6 th of 30 rupee form by 5p coins (i.e 15 rupee).

To get 1 rupee we need 4 25p coins-for 5 * 4 = 20 coins of 25p for 5 rupee.

To get 1 rupee we need 10 10p coins-for 10 * 10 = 100 coins of 10p for 10 rupee.

To get 1 rupee we need 20 5p coins-for 15 * 20 = 300 coins of 5p for 15 rupee.

Any suggestions.

Kkp said:   1 decade ago
Please can anybody tell that in the main solution why total money is written as 60x/100?

Chandu said:   1 decade ago
@Cutie.

Let A, B, C Shares be x, y, z respectively.
Then 8x = 12y = 6z.

From above,
x = (3/4)z.
y = (1/2)z.

Total (x+y+z) = 432.
(0.75+0.5+1)z = 432.
2.25z = 432.
z = (432/2.25).
z = 192.

From that,
x= [(3/4)*192].
= 144.
y = [(1/2)*192].
= 96.
z=192.

x+y+z = 144+96+192 = 432.

Cutie said:   1 decade ago
Can someone please help me out in solving this question: Rs 432 is divided amongst three workers AB and C such that 8 times As share is equal to 12 times B's share is equal to 6 times C's share. how much did A get. Please help out.

TEJU said:   1 decade ago
1 Rs = 100.

30 Rs = 3000.

So 1+2+3 = 6.

3/6*3000 = 150.

5p coins is 150.

Rajesh meena said:   1 decade ago
Totally we have Rs.30 = 3000p.

25p, 10p, 5p are in ratio of 1:2:3 .

We can also write it as,

Coins of 25p = x.

Coins of 10p = 2x.

Coins of 5p = 3x.

25(x)+10(2x)+5(3x) = 3000.

x = 50.

No. of coins of 5p = 3*50 = 150.

Anil chauhan said:   1 decade ago
25p : 10p : 5p

Coin = 1 : 2 : 3
______________

total = .25 + .20 + .15 = .60

5p = 30x3x100/60.

= 150 coins.


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