Q1. Of a group of 100 pupils, 60 pupils like to play badminton and 80 pupils like to play table tennis. If 50 pupils like to play both badminton and table tennis, what percentage of pupils like neither badminton nortable tennis?
Q2. A salesman delivered 30 vases to his customers. On the way, he had a minor accident and broke some of the vases. For every unbroken vase delivered, the salesman was paid $40. As a penalty, he had to pay the customers $10 for every broken vase. In the end, the salesman earned $1000 from the sales of the vases. How many vases were not broken?
Q3. The usual selling price of a TV set is $3000. At a sale, it is sold at a 20% descount. Ben paid for it in 12 monthly instalments which includes an interest rate o f5% per year.
(a) How much does Ben have to pay for each monthly instalment?
(b) For cash payment, a further 5% discount is given based on the discounted price. If the delivery charge is $40, how much would the total payment in cash be?
Q4. Mrs. Tan spent $5190 on some blouses and shirts. The amount spent on the blouses was $2310 more than the amount spent on the shirts. She bought 4/5 times as many shirts as blouses. Each shirt costs $13 less than each blouse. What is the total number of blouses and shirts bought by Mrs. Tan?
Q1. 50 out of 60 badminton students like to play both, hence 10 likes badminton only.
50 out of 80 table tennis students like to play both, hence 30 like table tennis only.
100-50-10-30=10 students => 10% likes to sit in the classroom and sleep
Q2. altogether he has 30 vases. assume he has x broken ones, hence unbroken is 30-x
(30-x)(40)-10x=1000 => x=4 => unbroken is 26
Q3. is the interest rate simple or compound interest?
Q4. let x be number of blouses bough, y be number of shirts bought, b be cost of blouse, s be cost of shirt
from your question: xb+ys= $5190 (1)
xb-ys=$2310(2)
b-s=$13 (3)
0.8x=y(4)
from these: (1)+(2): xb=$3750(5)
(1)-(2): ys=$1440, sub in (3) and (4), 0.8xb-10.4x=1440, sub in (5), 10.4x=1560
hence x=150, y=120, b=25, s=12
total number bought is 270 (she must be opening a clothing store or something)
Q3 should be simple interest, as this is a P6 problem.
As for Q4, it would be easier to understand if answer in model diagram. Algabra & substitution is not encourage in PSLE. Thanks.
Originally posted by kkhing:Q1. Of a group of 100 pupils, 60 pupils like to play badminton and 80 pupils like to play table tennis. If 50 pupils like to play both badminton and table tennis, what percentage of pupils like neither badminton nortable tennis?
Q2. A salesman delivered 30 vases to his customers. On the way, he had a minor accident and broke some of the vases. For every unbroken vase delivered, the salesman was paid $40. As a penalty, he had to pay the customers $10 for every broken vase. In the end, the salesman earned $1000 from the sales of the vases. How many vases were not broken?
Q3. The usual selling price of a TV set is $3000. At a sale, it is sold at a 20% descount. Ben paid for it in 12 monthly instalments which includes an interest rate o f5% per year.
(a) How much does Ben have to pay for each monthly instalment?
(b) For cash payment, a further 5% discount is given based on the discounted price. If the delivery charge is $40, how much would the total payment in cash be?
Q4. Mrs. Tan spent $5190 on some blouses and shirts. The amount spent on the blouses was $2310 more than the amount spent on the shirts. She bought 4/5 times as many shirts as blouses. Each shirt costs $13 less than each blouse. What is the total number of blouses and shirts bought by Mrs. Tan?
Q1.
Amount of students who only liked badminton = 60 - 50 = 10
Amount of students who only liked table tennis = 80 - 50 = 30
Amount of students who either like tabel tennis only, badminton only or both sports = 30 + 10 + 50
= 90
Amount of students who like neither sports = 100 - 90 =10
Percentage of students who like neither sports = 10/100 X 100% = 10%
Q2.
Total vases = 30 vases
Amount of broken vases = x vases
Amount of delivered vases = ( 30 - x ) vases
Actual amount received
= Total amount received from delivered vases - Amount paid for broken vases
= ( $40 )X(30-x) - ( $10 )X(x)
= $1200 - 50x
= > $1000 = $1200 - 50x
50x = $200
x = 4 vases
Amount of unbroken vases
= Total vases - broken vases
= 30 - 4
= 26 vases
Q3(a).
Original Price = $3000
Price after discount = 80% X $3000 = $2400
5% interest per annum = 5% X $2400 = $120
Total price with 5% interest = $2400 + $120 = $2520
Price paid per month = $2520 / 12 months = $210
Q3(b).
By cash payment, I assume you mean paying it all at one go.
Price after 5% discount = 95% X $2400 = $2280
Price including delivery charge = $2280 + $40 = $2320
Q4.
Amount spent on shirts
= ( $5190 - $2310 ) / 2
= $1440
Amount spent on blouse
= $1440 + $2310
= $3750
4/5 time as many shirts as blouse
= > 4 units of shirts to 5 units of blouses. Total = 9 units.
Cost of 1 unit of shirt = $1440 / 4 = $360
Cost of 1 unit of blouse = $3750 / 5 = $750
Amount of clothes per 1 unit of clothing
= ( $750 - $360 ) / $13
= 30 clothes
Total amount of shirts and blouses = 9 units X 30 = 270 pieces of clothings