GRADE 8 EXERCISES ON PERCENT |

Make "**let**" statements, tables and/or diagrams where necessary.

Show all your work. Answer with full sentences.

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**QUESTIONS**

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1) Sandra bought a blouse that was on sale at 20% off. She paid $25.50 which included the tax which is 15% of the price. What was the original price of the blouse? (*solution*)

2) The inflation rate in Canada in 1984 was 12%. This means that each dollar in 1984 was worth 12% less than a dollar in 1980. If Sam earned $40,000 in 1984, how much would his salary have been worth in 1980? (*solution*)

3) James bought a used car which cost $5,000. He made a down payment of $500 and loaned the rest from a bank at 6.5% per annum to be paid back in equal monthly payments over a year and a half. (*solution*)

a) How much did James pay for the car? | b) How much were his monthly payments? |

4) Sally invested $15,000 in a term deposit which earns 8% per annum. How much money will she get when she withdraws her capital and interest after 5 years? (*solution*)

5) Write the following percents as decimals and fractions: (*solution*)

a) 2.5% | b) 250% | c) 0.04% | d) 15.6% | e) 126.3% |

6) Harry bought some new golf clubs which were on sale at 25% off. He also bought a new jacket which was on sale at 15% off. The original price of the clubs was $350 and the original price of the jacket was $90. Find the total for his purchases if tax is 15%. (*solution*)

7) John had some work done on his car which increased the efficiency of the fuel consumption. He could now go 15 kilometres on a litre of gas whereas before the work he could only go 11km on a litre of gas. Find the percent improvement. (*solution*)

8) Find the following: (*solution*)

a) 2.5% of 370 | b) 127% of 2,154 | c) 12% of 328 | d) 4.65% of 990 |

9) When union workers receive their salary checks, many deductions are made by their employer to pay taxes, employment insurance premiums and union dues. 15% of their salary is deducted to pay income tax, 1.3% is deducted for employment insurance and 0.5% is deducted in union dues. How much will May's check amount to if her bi-weekly salary is $900 before deductions? (*solution*)

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**SOLUTIONS**

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1) Let *P* = the original price of the blouse.

Since it was on sale at 20% off, Sandra paid 80% of *P* = 0.80*P*.

The tax added 15% to 80% of *P*

so our equation for the situation is:

0.80*P* + 0.15(0.80*P*) = $25.50

factor out 0.80*P* to get

1.15(0.80*P*) = $25.50

*P* = $25.50 + 1.15(0.80) = $27.74

Sandra's blouse cost $27.74 before the 20% discount.

2) Let *S* = the value of his salary in 1980

Since the inflation is 12%, his money is worth 88% of *S* in 1984

0.88(*S*) = $40,000

*S* = $40,000 + 0.88 = $45,454.55

His salary would've been $45,454.55 in 1980.

3) a) After the down payment, James owed $4500.

We add the interest of 6.5% for 1.5 years (simple interest) to get:

$4500 + 1.5($4500)(0.065) = $4938.75

When we add the $500 down payment, he paid $5438.75

b) He made 18 monthly payments of $4938.75 + 18 = $274.38.

4) The interest she earns over 5 years = $15,000 (0.08)(5) = $6000.00

After 5 years, Sally's term deposit is worth $21,000.

5) Write the following percents as decimals and fractions:

a) decimal = 0.025 fraction |
decimal = 2.50 fraction |
c) decimal = 0.0004 fraction |

d) decimal = 0.156 fraction |
e) decimal = 1.263 fraction |

6) Since, there's 25% off, it leaves 75% on; and 15% off, leaves 85% on

Harry's bill before taxes is:

0.75 ($350) + 0.85 ($90) = $339.00

When we add the tax, we get:

(1.15) ($339.00) = $389.85

Harry's total purchases with tax cost him $389.85.

7) The increase in distance is 4 km so the percent improvement is:

The fuel consumption of John's car improved by 36.4%.

8) Find the following:

a) 0.025(370) = 9.25 | b) 1.27(2,154) = 2735.50 |

c) 0.12 (328) = 39.36 | d) 0.0465(990) = 46.035 |

9) May will receive her $900 minus the deductions which are:

0.15($900) + 0.013 ($900) + 0.005 ($900) = $151.20

May's check will amount to $748.80 after deductions.

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