WORD PROBLEMS ON CONSUMER MATH

Problem 1 :

Michelle is paid $8.40 per hour and time-and-a-half for overtime. If a normal day's work is 7 hours, how much would she be paid for 10 hours work in one day?

Solution:

Pay for an hour = $8.40

Overtime pay = 1.50 x 8.40 ==> $12.60

Normal work hours = 7 hours

Amount earned in 7 hours = 7 × 8.40

= $58.80

wages for 10 hours = (7 × 8.40) + (3 × 12.6)

= 37.80 + 58.80

= $96.60

Problem 2 :

Jake receives a holiday loading of 17 1/2% on four week's normal pay. If he works 37 hours in a normal week and is paid $9.20 per hour, how much money does he receive as his holiday loading?

Solution:

Amount   per hour = $9.20  per hour

wages in a 37 hour,

work week = 37 × 9.20

= $340.4

wages in 4 weeks = 4 × 340.4

= $1361.60

Holiday loading percentage = 17.5%

Total holiday loading amount = $1361.60 × (17.5/100)

= $238.28

Problem 3 :

In a week, a saleswomen sells $6000 worth of equipment. If she is paid $150 plus 10% commission on sales in excess of $4000, how much does she earn?

Solution:

Minimum sales target = $ 4000

how much saleswomen earns if target is achieved = $150

Problem 4 :

A waiter works from 5:00 pm till 1.30 am four days in one week. His hourly rate of pay is $14.65 and he gets an average of $9.20 as tips per working night. Find his income for the week.

Solution:

Working hours of waiter from 5.00 pm to 1.30 am = 8.5 hours

Hourly wage = $14.65

Tips on average per day = $9.20

Total wage in one working day = (8.5 × 14.65) + 9.20

= 124.525 + 9.28

= $133.725

Waiter works for 4 day in a week,

A week's income = 4 × 133.725

= $ 534.90

Problem 5 :

Find the net pay for the week if Saransh earns $420.80, is taxed $128.80, pays $42.19 for superannuation and his miscellaneous deductions total $76.34. What percentage of his gross pay did he pay in tax?

Solution:

Saransh's gross pay = $420.80

Saransh's pet pay = gross pay - deductions

= $420.80 - (128.80 + 42.19 + 76.34)

= $420.80 - 247.33

= $ 173.4

Problem 6 :

Find the tax payable on a taxable income of $40180 if the tax is $2380 plus 30 cents for each $1 in excess of $20000.

Solution:

Taxable income for $20000 = $ 2380

Problem 7 :

James received a salary of $18300 and from investment an income of $496. His total tax deductions were $3050. What is his taxable income?

Solution:

Given, James salary = $18300

James income from investment = $496

Total tax deducted = $3050

Taxable income = Total income - tax deducted

= (18300 + 496) - 3050

= $15746

Problem 8 :

Tom's taxable income for the tear was $13860. Find the tax which must be paid if it is 17 cents for each $1 in excess of $6000.

Solution:

Tom's taxable income = $13860

Tax percentage =17% after $6000