Arithmetic

Arithmetic Solved Questions

Arithmetic is used throughout mathematics and applied to engineer, sciences, computer sciences, biology and finance problems. A set of problems and exercises involving arithmetic, along with detailed solutions and answers, are presented.

Example:
Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.

Solution:
Let the 1st paycheck be x (integer).

Mrs. Rodger got a weekly raise of $ 145.

So after completing the 1st week, she will get $ (x+145).

Similarly after completing the 2nd week she will get $ (x + 145) + $ 145.

= $ (x + 145 + 145)

= $ (x + 290)

So in this way the end of every week, her salary will increase by $ 145.

Question:
The value of x + x(x^x) when x = 2 is:

Solution:
x + x(x^x)

Put the value of x = 2 in the above expression we get,

2 + 2(2²)

= 2 + 2(2 × 2)

= 2 + 2(4)

= 2 + 8

= 10

Question:
Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:

Solution:
20 % profit on $ 1.20

= $ 20/100 × 1.20

= $ 0.20 × 1.20

= $ 0.24

Similarly, 20 % loss on $ 1.20

= $ 20/100 × 1.20

= $ 0.20 × 1.20

= $ 0.24

Therefore, in one pipe his profit is $ 0.24 and in the other pipe, his loss is $ 0.24.

Since both profit and loss amount is the same so, it’s broke even.