Fractions, Decimals & Percentages Flashcards

(27 cards)

1
Q

What is the formula for calculating profit?

A

Profit = selling price - cost price

This formula is used to determine the financial gain from a sale.

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2
Q

Calculate the profit if the cost price is $96 and the selling price is $120.

A

$24

Profit is calculated as $120 - $96.

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3
Q

What happens if the selling price is lower than the cost price?

A

There is a loss

A negative profit indicates a financial loss.

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4
Q

How do you calculate the selling price if you know the percentage profit?

A

Selling price = cost price + profit

Profit can be calculated as a percentage of the cost price.

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5
Q

What is the selling price of a watch bought for $60 with a 25% profit?

A

$75

Profit is calculated as 25% of $60, which is $15. Thus, selling price = $60 + $15.

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6
Q

Find the profit or loss on a car bought for $75,000 and sold for $50,000.

A

Loss of $25,000

Calculated as $50,000 - $75,000.

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7
Q

Find the profit or loss on 12 bags of sugar bought for $95 each and sold for $1,200 altogether.

A

Profit of $320

Total cost = 12 x $95 = $1,140; Selling price = $1,200; Profit = $1,200 - $1,140.

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8
Q

Complete the following: The cost price of a stove is $150 and the percentage profit is 10%. What is the selling price?

A

$165

Selling price = $150 + (10% of $150) = $150 + $15.

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9
Q

Fill in the blank: The cost price of a computer is ______ and the percentage profit is 15%.

A

$600

This is a direct reference to the provided data.

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10
Q

Fill in the blank: The cost price of a clock is $75 and the percentage profit is ______.

A

5%

This is part of the data provided.

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11
Q

What is a discount?

A

The amount you subtract from a bill

A discount works the same as a percentage decrease.

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12
Q

How do you calculate the sale price after a 20% discount on a $105 item?

A

Sale price = 80% of $105 = $84

Sale price is calculated as 100% - 20% = 80%.

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13
Q

What is the formula for simple interest?

A

I = (P * R * T) / 100

I is the simple interest, P is the principal, R is the rate of interest per year, and T is the time in years.

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14
Q

What is the formula for percentage change?

A

Percentage change = (actual change / original amount) × 100

The change may reflect profit, loss, appreciation, depreciation, or discount.

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15
Q

If a javelin thrower improves from 60 m to 63 m, what is the percentage increase?

A

Percentage increase = ((63 - 60) / 60) × 100 = 5%

Actual increase is 3 m.

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16
Q

What is the discounted cost of a sofa marked at $1250 with a 5% discount?

A

$1250 - ($1250 × 0.05) = $1187.50

The discount amount is $62.50.

17
Q

What is the price of the sofa after adding a 3% sales tax?

A

$1187.50 + ($1187.50 × 0.03) = $1222.93

The sales tax amount is approximately $35.43.

18
Q

What is the simple interest on $600 for 5 years at an interest rate of 4% per year?

A

I = (600 * 4 * 5) / 100 = $120

Simple interest is calculated using the formula.

19
Q

How long would you keep $750 in a bank to earn $112.50 at 5% simple interest?

A

T = (112.50 / (750 * 0.05)) = 3 years

Time is calculated using the simple interest formula.

20
Q

Define income tax.

A

A tax levied on individual or corporate earnings

It is typically a progressive tax.

21
Q

Define sales tax.

A

A tax imposed on sales of goods and services

It is usually a percentage of the sale price.

22
Q

Define gross pay.

A

The total earnings before any deductions

Includes wages, salaries, bonuses, and overtime.

23
Q

Define net pay.

A

The amount received after deductions

This is the take-home pay after taxes and other deductions.

24
Q

What is the percentage increase in the number of pupils from 1200 to 1248?

A

Percentage increase = ((1248 - 1200) / 1200) × 100 = 4%

Actual increase is 48 pupils.

25
What is the percentage decrease in length when a piece of wood is cut from 700mm to 602mm?
Percentage decrease = ((700 - 602) / 700) × 100 = 14% ## Footnote Actual decrease is 98mm.
26
What is the percentage discount when a pair of shoes is reduced from $80 to $44?
Percentage discount = ((80 - 44) / 80) × 100 = 45% ## Footnote Actual discount is $36.
27
What is the percentage depreciation of a car valued at $8000 that depreciates to $6800?
Percentage depreciation = ((8000 - 6800) / 8000) × 100 = 15% ## Footnote Actual depreciation is $1200.