HELP!HELP!Maths questions!!!!!

2013-01-27 4:44 pm
1,Tim paid $800 for a ticket to a concert at a student discount of 20%.
a) What was the marked price of Jim's ticket?
b) Kerry also bought a ticket to the concert with the same marked price and student discount.However,Kerry got an extra 10% off the selling price because she belonged to a fan club.At what overall discount per cent did Kerry buy her ticket?
2,Last year,Mrs Lee's weight was 3 times of her daughter's weight.This year,her son's weight increases by 10% while her weight decreases by 10%.Mrs Lee is now 32kg heavier than her son.Find Mrs Lee's weight last year.
3,Sam buys 500 TV game sets at a cost of $110000.If each game set is sold at a discount of 20%,he will make a profit of 20%.Find
a)his total profit,
b)the selling price of each game set,
c)the marked price of each game set.
4,Alex bought a teddy bear and sold it at 20% profit to Kim.Kim bought a suit costing $100 and dressed the teddy bear up in the suit.Kim then sold the teddy bear in the suit to Karen for $442.Kim made a profit of 30$.What was the price that Alex paid for the teddy bear?

回答 (1)

2013-01-27 5:27 pm
✔ 最佳答案
1.
(a)
The marked price of Jim's ticket
= $800 ÷ (1 - 20%)
= $1000

(b)
Selling price of Kerry's ticket
= $800 x (1 - 10%)
= $720

Overall discount for Kerry's ticket
= [(1000 - 720)/1000] x 100%
= 28%


=====
2.
Let y kg be the weight of Mrs Lee's daughter last year.
Then, Mrs Lee's weight last year = 3y kg

This year :
3y(1 - 10%) - y(1 + 10%) = 32
2.7y - 1.1y = 32
1.6y = 32
y = 20
3y = 60

Mrs Lee's weight last year = 60 kg


=====
3.
(a)
The total profit
= $110000 x 20%
= $22000

(b)
The selling price of each game set
= $(110000 + 22000) ÷ 500
= $264

(c)
The marked price of each game set
= $264 ÷ (1 - 20%)
= $330


=====
4.
Method 1 :
Price that Kim paid for the teddy bear
= $(442 - 30 - 100)
= $312

Price that Alex paid for the teddy bear
= $312 x (1 + 20%)
= $260

Method 2 :
Let $y be the price that Alex paid for the teddy bear.

442 - [y(1 + 20%) + 100] = 30
442 - (1.2y + 100) = 30
332 - 1.2y = 30
1.2y = 312
y = 260

Price that Alex paid for the teddy bear = $260
參考: 土扁


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