Sunday, March 14, 2010 ; Percentage Tough Questions
The questions below are all mixed and meshed. Identify which type of question it is before you solve any of them.
1) Jamie used some coloured beads to make a bag. 44% of the beads used were green and the rest were either blue or orange. The ratio of the number of orange beads to that of blue beads used was 3:5. If she used 46 more green beads than orange beads, how many beads did she use in all?
2) A fruit seller sold 140 apples in the morning. In the afternoon, he sold 60% of the remaining apples. As a result, the number of apples left became 1/6 of the number of apples he had at first. How many apples did the fruit seller have at first?
3) A shopkeeper offered a watch to his customer at a discount of 20%. After much bargaining, the customer bought the watch at 44% discount, giving him an additional saving of $24. What was the usual price of the watch?
4) At a fruit stall, the ratio of the number of apples to the number of pears is 5:8. If 60% of the pears are sold, what percentage of the apples must be sold so that there will be an equal number of apples and pears left?
5) Siti was reading a story book. On the first day, the number o f pages she read was 20% of the number of pages unread. On the second day, she read another 30 pages of the book. As a result, the number of pages she read was 60% of the number of pages unread. How many pages did the book consist of?
6) There are some beads in 3 boxes, A, B and C. 40% of the number of beads in Box A is equal to 25% of the number of beads in Box B. The number of beads in Box C is 1/3 of the number of beads in Box B.
a) Express the number of beads in Box C as a fraction of the number of beads in Box A.
b) If 1/2 of the beads in Box B are taken out and placed into Box C, there will be 80 beads in Box C. How many beads are there in Box A?
7) A a car park, 40% of the vehicles are cars. 90% of the remainder are vans and the rest are buses. There are 28 more vans than cars. After some cars have left, 20% of the remaining vehicles at the car park are cars. How many cars are there left in the car park?
8) In Mr Tan's shop, a television set is priced at 25% higher than a DVD player. If Mr Tan sells the television set at 20% discount and the DVD player at 25% discount, he will earn $400 less than usual. What is the usual price of the television set?
Answers are at "comment".
If you could do at least 6 of them, you're in the "high A" category. If you could do all on your own, you'll have no problem with ratio, fraction and percentage. You've reached my category.
Regards,
Mr Wan
Labels: q
posted by Allan at
9:56 PM
3 Comments:
1) Total never changed; 200 beads
2) 1 variable changed; use branch method; 240 apples
3) 1 variable changed; 100% is the same; $100
4) Number of apples did not change; 36% of apples sold
5) Total never changed; 144 pages
6) Total never changed; use flexible thinking techniques; a) 8/15; b) 60 beads in Box A
7) 1 variable changed; number of buses and vans did not change; 30 cars at first
8) 2 variables changed; $1000
Leave a comment if you've attempted the question. Let me see who're the ones who're going the extra mile for their A*.
I've done all, i think they're like... really easy.. cas if its a percentage and it looks really complicated just change it all into ratio and its really easy actually? but i cant do the math weekly... I dun understand what it means by ratio of average speed because isnt speed like __km/h so how do we make it a ratio? wont it be
_km/h: _km/h ?
Ratio has no unit hehe you forgot the lesson we had in P5.
Eg Speed of Car A is 40km/h while speed of Car B is 50km/h, so Ratio of speed of Car A to speed of Car B is 4:5 without units.
Anyway, No 7 should be 30 cars left, not 30 cars at first.
I'm glad Yunling finds it easy. It means you've reached my level in %. With algebra, you can solve any % and whole number questions.
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