Mathematics in Real Life Context

Mathematics in Real Life Context

Mathematics in Real Life Context

Percentages

Percentages

• Practice converting percentages to decimals and vice versa

• Remember you move decimal two places to the left to convert percentages to decimals.

Multiple Choice

34% is

• 0.034

• 0.34

• 3.4

• 34

Multiple Choice

 $33\frac{1}{3}\%\ is$  

• 33.33

• 3.33

• 0.333

• 0.0333

Multiple Choice

24.2% is

• 0.0242

• 24.2

• 0.242

• 242

Multiple Choice

60% is

• 60

• 6

• 0.06

• 0.6

Multiple Choice

9.3% is

• 0.093

• 9.3

• 0.0093

• 93

Profit/Loss

• profit or loss is percentage change

• remember that to calculate percentage change (profit/loss) numerator is always the difference between final and initial value

• the denominator is either cost price or selling price (read the problem carefully)

• profit is same as percentage increase

• loss is same as percentage decrease

Multiple Choice

Percentage of loss on SP =

• $\frac{SP-CP}{CP}\times100\ \%$

• $\frac{CP-SP}{CP}\times100\ \%$

• $\frac{SP-CP}{SP}\times100\ \%$

• $\frac{CP-SP}{SP}\times100\ \%$

Multiple Choice

If, loss = Rs.40 and SP = Rs.250 then find percentage of loss.

• 15 %

• 13.79%

• 16%

• 14.25%

Multiple Choice

If CP=Rs. 80; SP=Rs.120 then find profit percentage.

• $33\ \frac{1}{3}\%$

• $50\ \%$

• $40\ \%$

• $20\ \%$

Remember CP includes the overhead expenses.

Transportation charges

Rent of shop

Salary of workers

Electricity bills

Multiple Choice

A television set was bought for $25250 and spend $800 for transportation. What was the price of a television?

• $26000

• $25250

• $24450

• $26050

Discount

• Discount is always calculated on Marked Price.

• Marked price is the price mentioned on the tag/ article.

• Selling price is the price calculated after discount.

• Discount is same as percent decrease.

Multiple Choice

If the marked price of a water cooler is Rs. 4650. The shopkeeper offers an off-season discount of 18% on it. Then its selling price is _______

• $4650\times18$

• $4650\times.18$

• $4650\times0.82$

Multiple Choice

Q18. The marked price of a calculator is $200 and it is sold for $170. What is the discount (percent)?

•  $\frac{170}{200}\times100$  

•  $\frac{30}{170}\times100$  

•  $\frac{30}{200}\times100$  

Multiple Choice

Kassidy is at LIDS shopping for her boyfriends birthday gift. She found a deal on the hat he wants and it now costs $39, after the 25% discount. How much did the hat originally cost?

• $49.88

• $13

• $26

• $52

Profit, Loss and Discount- Working together

• Read the problem carefully.

• Better to make an equation first or

• Go step- by -step

Multiple Choice

Simple problem



A retailer purchased radio sets at the rate of Rs. 400 each from a wholesaler. He raised the price by 30% and then allowed a discount of 8% on each set. His profit will be

• 18.6%

• 19.6%

• 19.2%

• 20.4%

Multiple Choice

Toffees are bought at 27 for a rupee. How much must be sold for a rupee so as to gain 50%?

• 12

• 16

• 24

• 18

Multiple Choice

The cost of manufacture of an article was Rs. 900. The trader wants to gain 25% after giving a discount of 10%.

The marked price should be

• Rs 1250

• Rs 2250

• Rs 1000

• Rs 1500

Simple interest

•  $I\ =\ \frac{PRT}{100}$  

• P stands for the principal amount

• T stans for time - usually in years

• R stands for rate in %age

• I stands for interest--------the additional amount you will get/ have to pay

• Amount includes the principal and the interest

• A = I + P

Multiple Choice

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

• $1800

• $120

• $1500

• $1392

Multiple Choice

Ann puts $300 in a bank account earning 4% interest.  How much will she earn in interest in 1 year?

• 4
• 8
• 12
• 16

Hire purchase

• Remember Interest is paid on the amount excluding the downpayment

• For monthly intallments, you calculate the total amount to be paid including interest then divide by number of months

• HPP includes is simply the downpayment and total amount to be paid as monthly installment

Multiple Choice

Cash Price: RM 40,000

Deposit: 10% of the cash price

Interest: 8% p.a.

Payable: 5 years of equal monthly instalments

What was the hire purchase price???????

• RM 36,000

• RM 40,000

• RM 50,400

• RM 54,400

Multiple Choice

Cash Price: RM 2,200

Down Payment: RM 800

Instalment: 18 monthly instalments of RM 150 each.

The total interest on hire purchase was RM____.

• 1,300

• 800

• 500

• 300

Multiple Choice

Sarah wants to buy a chair using Hire Purchase. She pays £37 deposit and 5 monthly payments of £20. How much does she pay in total?

• £137

• £285

• £57

• £80

Multiple Choice

Angelique wants to buy a microwave on a hire purchase agreement. The cash price of the microwave is Rs 4 400. She is required to pay a deposit of 10% and pay the remaining loan amount off over 12 months at an interest rate of 9%

9% p.a.

What is the principal loan amount?

• R 4 400

• R 3 9600

• R 440

• R 3690

Money Exchange

• Working with multiplication is always easy

• First step should be determine the multiplication factor------- price of 1 for both currencies

• Next read the problem.

• Here you go!!!!!

Multiple Choice

If you are going to visit America and have $2999 to spend, how much currency could you obtain? (1AUD = 0.68USD)

• 1x 0.68

• $1\div0.68$

• $2999\times0.68$

• $2999\times0.68$

Multiple Choice

If the exchange rate is £1 = $1.25, what is $2250 equivalent to in £ pounds?

• £1800

• £ 2250

• £2813

• £1700