Write a program to find the G.C.D of two numbers.

Statement:
Write a program to find the GCD of two numbers.



 Algorithm:

            Step-1: Read two numbers a,b
            Step-2: if (a>b)
                        Max=a, Min=b
            Step-3: Else,
                Max=b, Min=a
            Step-4: c=Max%Min
            Step-5: while(c!=0)
                       1.    Max=Min
                       2.    Min=c
                       3.    C=Max%Min
            Step-6: Print Min (GCD)
            Step-7: End
   


Program Listing:

#include<stdio.h>
#include<conio.h>
void main()
{
clrscr();
int a,b,c,max,min;
printf("Enter the two numbers:");
scanf("%d%d",&a,&b);
if(a>b)
{
max=a;
min=b;
}
else
{
max=b;
min=a;
}
c=max%min;
while(c!=0)
{
max=min;
min=c;
c=max%min;
}
printf("The GCD of given two numbers is=%d", min);
getch();
}



Output:
Enter the two numbers: 56
42
The GCD of given two numbers is= 14


Discussion:
I.    It works properly.
II.    The GCD can be made fo more than two numbers.
III.    Since we use short signed int so it works within the number range  -32768  to +32767
IV.    If we use long int then it works within the number range  -2147483648  to  +2147483647

Write a program to calculate the interest of the loan.

 Statement:
            Write a program to calculate the interest of the loan.



Algorithm:
            Step-1: Read a (Amount of Rs)
            Step-2: Read i (Percentage of interest)
            Step-3: Read y (No of year)
            Step-4: e=a*i*y (Total interest)
            Step-5: t=e + a(Total amount of Rs.)
            Step-6: print e, t
            Step-7: End
       



Program Listing:

#include<stdio.h>
#include<conio.h>
void main()
{
clrscr();
float a,i,t,y,e;
printf("\nAmount of Rs=");
scanf("%f",&a);
printf("\nPercentage of interest =");
scanf("%f",&i);
printf("\nNo of year=");
scanf("%f",&y);
e=a*i*y/100;
t=e+a;
printf("\nTotal interest=%f",e);
printf("\n\nTotal amount you get after %f year is= %f Rs" ,y,t);
getch();
}




Output:
Amount of Rs=1000
Percentage of interest = 13
No of year=5
Total amount you get after 5 year is= 650 Rs
Total amount you get after 5 year is= 1650 Rs
   
Discussion:
           I.    It works within the number range -32767 to 32767
          II.    If we use long integer then it works in more than range.
         III.    It works in negative number.

Find the Maximum & Minimum between Two Numbers.

Statement:
Find the Maximum & Minimum between Two Numbers.


Algorithm:

            Step-1: Read a
            Step-2: Read b
            Step-3: if (a>b)
            Step-4: print maximum=a & minimum=b
            Step-5: else, print maximum=b & minimum=a
            Step-6: print maximum=b & minimum=a
            Step-7: End
           

Program Listing:

#include<stdio.h>
#include<conio.h>
void main()
{
int a, b ,max, min;
clrscr();
printf("Please Enter Two Numbers");
scanf("%d%d", &a, &b);
if(a>b)
{
max=a;
min=b;
}
else
{
max=b;
min=a;
}
printf("\n\n  Max=%d    Min=%d", max, min);
getch();
}



•    Output:
Please Enter Two Numbers 56
42
Max=56    Min=42


  Discussion:
I.    It works properly.
II.    It can be made for more than 10 numbers.
III.    Since we use short signed int so it works within the number range  -32768  to +32767
IV.    If we use long int then it works within the number range                                           -2147483648  to  +2147483647

Determine a seller’s profit or loss and how much

Statement:

If cost price and selling price of an item is input through the keyboard, write a program to determine whether the seller has made profit or incurred loss. Also determine how much profit he made or loss he incurred.

ü           Algorithm:

                                    Step-1: Read a (cost price)

                                    Step-2: Read b (selling price)

                                    Step-3: if(a>b)

1)      Print “LOSS”

2)      c=a-b

3)      The amount loss is  c

                                    Step-4: else

1)      print “PROFIT”

2)      c=b-b

3)      The amount of profit c

                                    Step-5: End

                       

v                        Program Listing:

#include<stdio.h>

#include<conio.h>

void main()

{

clrscr();

float a,b,c;

printf("Enter the cost price=");

scanf("%f",&a);

printf("\nEnter the selling price=");

scanf("%f",&b);

if (a>b)

{

printf("\nSeller incurred LOSS");

c=a-b;

printf("\nThe LOSS is=%f",c);

}

else

{

printf("\nSeller makes PROFIT");

c=b-a;

printf("\nThe PROFIT is=%f",c);

}

getch();

}

·        Output:

Enter the cost price= 102

Enter the selling price= 112

Seller makes PROFIT

The PROFIT is=10

Enter the cost price= 156

Enter the selling price= 114

Seller incurred LOSS

The LOSS is=42

                                   

           

           

§  Discussion:

                                                                                I.            It works within the number range -32767 to 32767

                                                                              II.            If we use long integer then it works in more than range.

                                                                            III.            It works in negative number.

Calculate the multiple of two given numbers.

Statement:

Calculate the multiple of two given numbers.

      Algorithm:

                                                Step 1: Read a 

                                                Step 2: Read b

                                                Step 3: c=a*b

                                                Step 4: print c

                                                Step 5: End

v Program Listing:

#include<stdio.h>

#include<conio.h>

void main()

{

int a,b,c;

clrscr();

printf("Please enter a number:");

scanf("%d",&a);

printf("\nPlease enter another number:");

scanf("%d",&b);

c=a*b;

printf("\nThe multiple of two numbers is:%d",c);

getch();

}

·  Output:

Please enter a number: 42

Please enter another number: 56

The multiple of two number is: 2352

§  Discussion:

                                                I.            It works properly.

                                              II.            We can made the multiple of more than two numbers similarly.

                                            III.            Since we use short signed int so it works within the number range  -32768  to +32767

                                           IV.            If we use long int then it works within the number range   -2147483648  to  +2147483647

Calculate the sum of two given numbers.

Statement:

Calculate the sum of two given numbers.

ü    Algorithm:

                                                Step 1: Read a 

                                                Step 2: Read b

                                                Step 3: c=a+b

                                                Step 4: print c

                                                Step 5: End

v Program Listing:

#include<stdio.h>

#include<conio.h>

void main()

{

int a,b,c;

clrscr();

printf("Please enter a number:");

scanf("%d",&a);

printf("\nPlease enter another number:");

scanf("%d",&b);

c=a+b;

printf("\nThe sum of two number is:%d",c);

getch();

}

·   Output:

Please enter a number: 42

Please enter another number: 56

The sum of two number is:98

§  Discursion:

                                                I.            It works properly.

                                              II.            We can made the sum of more than two numbers similarly.

                                            III.            Since we use short signed int so it works within the number range  -32768  to +32767

                                           IV.            If we use long int then it works within the number range                    -2147483648  to  +2147483647