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?
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 3 of 12.
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.
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.
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.
Kkp said:
1 decade ago
Please can anybody tell that in the main solution why total money is written as 60x/100?
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.
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.
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.
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.
Atul1487 said:
1 decade ago
1 Rs = 100.
30 Rs = 3000.
So 1+2+3 = 6.
3/6*3000 = 150.
5p coins is 150.
30 Rs = 3000.
So 1+2+3 = 6.
3/6*3000 = 150.
5p coins is 150.
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.
Coin = 1 : 2 : 3
______________
Total = 0.25 + 0.20 + 0.15 = 0.60
5p = 30x3x100/60.
= 150 coins.
Njay said:
1 decade ago
25p : 10p : 5p --> Total Rs.30.
1 : 2 : 3 = 6.
5p = 3.
3/6 = 2 *30 = 150.
1 : 2 : 3 = 6.
5p = 3.
3/6 = 2 *30 = 150.
Shantanu said:
1 decade ago
@Avi.
Please read the question again it says no of coins are in ratio 1:2:3 and not that value of 25 paise coin in total 30 rs is 1. So first find total no of coin. Then multiply it with respective denomination. You are saying as 3/6*3000=1500p so 1500/5= 300 coins. Fault is that without knowing the no of coin you straight away calculated the value of each coin although ratio is about the no of coin. Hope I have explained.
Please read the question again it says no of coins are in ratio 1:2:3 and not that value of 25 paise coin in total 30 rs is 1. So first find total no of coin. Then multiply it with respective denomination. You are saying as 3/6*3000=1500p so 1500/5= 300 coins. Fault is that without knowing the no of coin you straight away calculated the value of each coin although ratio is about the no of coin. Hope I have explained.
Shashikant said:
1 decade ago
@Kkp.
x is the multiplying factor which when multiplied by 60 and divided by 100 gives you Rs 30.
x is the multiplying factor which when multiplied by 60 and divided by 100 gives you Rs 30.
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