# Basic Problems

This section contains small programming problems as well as some of the more difficult ones. These can be regarded as “programming projects” to give you a pretty good insight on “Why do we need programming and how can we convert our problem statement into a computer programs”. We hope you will enjoy this section. Don’t forget to ask a doubt if you have any.

## Programming Problems

### Diet Soda Pop

A government research lab has concluded that an artificial sweetener commonly used in diet soda pop will cause death in laboratory mice. A friend of yours is desperate to lose weight but cannot give up soda pop. Your friend wants to know how much diet soda pop it is possible to drink without dying as a result. Write a program to supply the answer. The input to the program is the amount of artificial sweetener needed to kill a mouse (use 5 grams), the mass of the mouse (use 35 grams), and the weight of the dieter (use 45400 grams for a 100 pound person). Assume that the lethal dose for a mouse is proportional to the lethal dose for the human. A single can of soda pop has a mass of 350 grams. To ensure the safety of your friend, be sure the program requests the weight at which the dieter will stop dieting, rather than the dieter’s current weight. Assume that diet soda contains 1/10th of 1% artificial sweetener. Use a variable declaration with the modifier const to give a name to this fraction. You may want to express the percent as the double value 0.001. Your program should allow the calculation to be repeated as often as the user wishes.

### Loan Calculation

Negotiating a consumer loan is not always straightforward. One form of loan is the discount installment loan, which works as follows. Suppose a loan has a face value of $1,000, the interest rate is 15%, and the duration is 18 months. The interest is computed by multiplying the face value of$1,000 by 0.15, to yield $150. That figure is then multiplied by the loan period of 1.5 years to yield$225 as the total interest owed. That amount is immediately deducted from the face value, leaving the consumer with only $775. Repayment is made in equal monthly installments based on the face value. So the monthly loan payment will be$1,000 divided by 18, which is $55.56. This method of calculation may not be too bad if the consumer needs$775 dollars, but the calculation is a bit more complicated if the consumer needs \$1,000. Write a program that will take three inputs: the amount the consumer needs to receive, the interest rate, and the duration of the loan in months. The program should then calculate the face value required in order for the consumer to receive the amount needed. It should also calculate the monthly payment. Your program should allow the calculations to be repeated as often as the user wishes.

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