How many methods are possible to make 1 rupee by using 10 paisa, 20 paisa and 50 paisa coin. It is n

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13 Feb 2014 Solve

How many methods are possible to make 1 rupee by using 10 paisa, 20 paisa and 50 paisa coin. It is not necessary to use all type of coins and any coin can be used more than 1 times.

OPtion

1) 12
2) 9
3) 8
4) 7
5) 6
6) 11
7) 10
8) 13
9) 14
10)None of these

Solution

0.10*10
0.10*8+0.20*1
0.10*6+0.20*2
0.10*4+0.20*3
0.10*2+0.20*4
0.20*5
0.50*1+0.10*5
0.50*1+0.20*1+0.10*3
0.50*1+0.20*2+0.10*1
0.50*2

Option 7) 10

Correct Option: 7 Best Solution (25)

S. Singh   10 years AGO

Possible combinations for 50p,20p,10p are
0,0,10
0,1,8
0,2,6
0,3,4
0,4,2
0,5,0
1,0,5
1,1,3
1,2,1
2,0,0

Like? Yes (13) | No (2)  

Dr.Dipin Singh   10 years AGO

when there is no 50 p coin,
possible number of 20 p coins are 0,1,2,3,4,5
and 10p coins are used accordingly.
when there is one 50 p coin,
possible number of 20 p coins are 0,1,2
and 10p coins are used accordingly.
when there are two 50 p coin,
possible number of 20 p coins is 0
and number of 10p coin is also 0.
So total possible combinations are 6+3+1=10

Like? Yes (5) | No (1)  

madanpal vishwakarma    10 years AGO

the all possible ways to make 1 rupees using 10,20 and 50 paisa coin are 10 (listed below)
the combination of single coins
1>10*10=100
2>20*5=100
3>50*2=100
the combination of 10 and 20 paisa cions
4>20*4 +10*2=100
5>20*3+10*4=100
6>20*2+10*6=100
7>20*1+10*8=100
the combination of 50 and 10 paisa coin
8>50*1+10*5=100
the combination of all three coin
9>50*1+20*1+10*3=100
10>50*1+20*2+10*1=100

so option 7 is correct

Like? Yes (3) | No (1)  

MP    10 years AGO

solving for integer values of x,y,z in
5x+2y+z=10
we get 10 sets from
(0,0,10)
(0,1,8)
..
..
(1,2,1)
(2,0,0)

Like? Yes (4) | No (2)  

neeraj   10 years AGO

50,50
50,10,10,10,10,10
50,10,10,10,20
50,10,20,20
20,20,20,20,20
20,20,20,20,10,10
20,20,20,10,10,10
20,20,10,10,10,10,10,10
20,10,10,10,10,10,10,10,10
10,10,10,10,10,10,10,10,10,10

Like? Yes (2) | No   

NAGENDRA P   10 years AGO

1.10paise---10coins..
2.20paise---5coins..
3.50paise---2coins..
4.50paise 1coin,20paise 2coins,10paise 1 coin..
5.50paise 1coin,20paise 1coin,10paise 3 coins..
6.50paise 1coins,10paise 5coins..
7.20paise 2coins,10paise 6coins..
8.20paise 3coins,10paise 4coins..
9.20paise 4coins,10paise 2coins..
10.20paise 1coins,10paise 8coins..
so there are 10methods to make 1rupee..so option(7)..

Like? Yes (2) | No   

Sutanu Shit   10 years AGO

1.(10,0,0)
2.(8,1,0)
3.(6,2,0)
4.(4,3,0)
5.(2,4,0)
6.(0,5,0)
7.(5,0,1)
8.(3,1,1)
9.(1,2,1)
10.(0,0,2)

Like? Yes (1) | No   

Suman   10 years AGO

methods
10*10
20*5
50*2
1*20+10*8
2*20+10*6
3*20+10*4
4*20+10*2
2*20+10+50
1*20+3*10+50
50+10*5

Like? Yes (2) | No (1)  

rajani   10 years AGO

there are totally 10 combinations for this solution.
10p 20p 50p
--- ---- ---
10 0 0
0 5 0
0 0 2
1 2 1
5 0 1
3 1 1
8 1 0
6 2 0
4 3 0
2 4 0

Like? Yes (1) | No   

Shubham Gupta   10 years AGO

By 10ps coin we can make-->
10*10p
10p+20p*2+50p
2*10p+20p*4
3*10p+20p+50p
4*10p+20p*3
5*10p+50p
6*10p+20p*2
8*10p+20p
2*50p
5*20p

Like? Yes (1) | No   

Shahnawaz Ahmad   10 years AGO

50,50
50,20,20,10,
50,20,10,10,10
50,10,10,10,10,10
20*5
20*4,10*2
20*3,10*4
20*2,10*6
20*1,10*8
10*8

Like? Yes (1) | No   

KRISHNAN   10 years AGO

1) 0.10*10
2) 0.10*8+0.20*1
3) 0.10*6+0.20*2
4) 0.10*4+0.20*3
5) 0.10*2+0.20*4
6) 0.20*5
7) 0.50*1+0.10*5
8) 0.50*1+0.20*1+0.10*3
9) 0.50*1+0.20*2+0.10*1
10)0.50*2
Total 10 methods so option 7 is correct

Like? Yes (1) | No (1)  

Paras   10 years AGO

just make the trail and get the answer

Like? Yes (1) | No (1)  

T G   10 years AGO

1)50 50
2)50 20 20 10
3)50 20 10 10 10
4)50 10 10 10 10 10
5)20 20 10 20 20 10
6)20 20 10 20 10 10 10
7)20 20 10 10 10 10 10 10
8)20 10 10 10 10 10 10 10 10

9)10 *10
10)20*5

Like? Yes (3) | No (3)  

Leelanand Kumar Yalla   10 years AGO

10 Methods are possible...

Like? Yes (1) | No (1)  

j.b.manasa   10 years AGO

the possible ways are
(50,50),(20*5),(10*10),(50,20,20,10),(50,20,10,10,10),(50,10,10,10,10,10),(20,20,20,20,10,10),(20,20,20,10,10,10,10),(20,10*8),(20,20,10*6)

Like? Yes (1) | No (1)  

Dinesh Tripathi   10 years AGO

1)10*10=100
2)10*8+20*1=100
3)10*6+20*2=100
4)10*4+20*3=100
5)10*2+20*4=100
6)20*5=100
7)10*5+50*1=100
8)50*1+10*3+20*1=100
9)50*1+10*1+20*2=100
10)50*2=100

Like? Yes (1) | No (1)  

Srinivasa Vamsi Krishna Dodda   10 years AGO

if 0 50 paise coins are used : then in 6 ways we use 20 or 10 paise combinations to have a rupee

If we use 1 50 paise : then in 3 ways we make use of 20 or 10 paise coins Combinations to have a rupee

and finally we can make 1 rupee with 2 50 paise coins

So... Total ways = 6+3+1 = 10

Like? Yes (1) | No (1)  

K PAIDAM NAIDU   10 years AGO

two 50 coins,five 20,ten 10,one 50 two 20 one 10,one 50 one 20 three 10,one 50 five 10,one 20 eight 10,two 20 six 10,three 20 four 10,four 20 two 10.

Like? Yes (1) | No (1)  

Younus   10 years AGO

10x10
10x8 20x1
10x6 20x2
10x4 20x3
10x2 20x4
20x5
50x2
50x1 10x5
50x1 10x3 20x1
50x1 10x1 20x2

Like? Yes (2) | No (2)  

ATUL KUMAR SINGH   10 years AGO

use of 50paise coin
.50*2=1;
.50*1+.10*5=1;
.50*1+.20*1+.10*3=1;
.50*1+.20*2+.10*1=1;
use of 20paise coin(excluding 50 paise coin)
.20*5=1;
.20*4+.10*2=1;
.20*3+.10*4=1;
.20*2+.10*6=1;
.20*1+.10*8=1;
use of 10paise coin(excluding 50&20 paise coin)
.10*10=1;
//total 10 ways//

Like? Yes (1) | No (1)  

aviral bhargava   10 years AGO

the possible combinations are :-
1)10 coins of 10 paise
2)5 coins of 20 paise
3)2 coins of 50 paise
4)1*10,2*20,1*50
5)3*10,1*20,1*50
6)5*10,1*50
7)1*20,8*10
8)2*20,6*10
9)3*20,4*10
10)4*20,2*10

which sum up to total 10 ways.

Like? Yes (1) | No (2)  

Varunraj Reddy   10 years AGO

These are the Possibilities

10P 0 0 1 2 3 4 5 6 8 10

20P 0 5 2 4 1 3 0 2 1 0

50P 2 0 1 0 1 0 1 0 0 0

So there are total 10 possible ways

So ans is option 7)

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Hanumanth Naik   10 years AGO

10 20 50 total
-- -- --
10 0 0 100
8 1 0 100
6 2 0 100
5 0 1 100
4 3 0 100
3 1 1 100
2 4 0 100
1 2 1 100
0 5 0 100
0 0 2 100

Like? Yes (1) | No (2)  

Deb Das   10 years AGO

With 10 possible ways

Like? Yes (1) | No (2)