MODUL TOPIKAL MATEMATIK PMRTOPIK: PERCENTAGES

1 Azhari receives RM30 pocket money per week. He saves 20% of his pocket money every week and spends the rest. Calculate the difference between the amount of pocket money he receives and the amount he saves over the period of 4 weeks.

Azhari menerima RM30 wang saku setiap minggu. Dia menyimpan 20% daripada wang saku itu dan membelanjakan yang selebihnya. Hitung beza wang saku yang diterima dengan wang saku yang disimpannya dalam tempoh 4 minggu.

A RM24B RM96C RM114D RM120

2 Mary’s salary is RM1600. She received 8% increase in her salary. If she spends 25% of her new salary to buy a set of books, how much does the set of books costs?

Gaji Mary ialah RM1600. Dia mendapat kenaikan gaji sabanyak 8%. Jika dia membelanjakan 25% daripada gaji barunya untuk membeli satu set buku, berapakah harga satu set buku tersebut?

A RM 128B RM 400C RM 432D RM 528

3 Raju bought 150 durians. He managed to sell 45 durians on the first and 20% of the remaining durians on the second day. Calculate the total number of durians that Raju has left.

Raju membeli 150 biji durian. Dia menjual 45 biji durian pada hari pertama dan 20% daripada baki durian dijual pada hari kedua. Hitung bilangan durian yang masih ada pada Raju.

A 21B 75C 84D 85

4Salmah used 60% of her money to buy a set of books whereas Siew Teng gave

of her salary to her mother. If Salmah’s books cost RM750 and Siew Teng’s salary is RM1740, calculate the difference between the amount of Salmah’s money and the amount Siew Teng’s mother received.

Salmah menggunakan 6)% daripada wangnya untuk membeli satu set buku

manakala Siew Teng memberikan daripada gajinya kepada ibunya. Jika set

buku Salmah berharga RM750 dan gaji Siew Teng ialah RM1740, kira perbezaan antara wang Salmah dengan wang yang diterima oleh ibu Siew Teng.

A RM100B RM450C RM580D RM670

5 Table 1 shows the monthly sales of a salesman.

MonthBulan

SalesJumlah jualan

January RM5000February RM6500March RM8125April RM9000

Table 1Jadual 1

In which month does the sale increase by 30% as compared to the previous month.

Jadual 1 menunjukkan jumlah jualan bulanan bagi seorang jurujualPada bulan manakah jualannya meningkat 30% berbanding bulan sebelumnya.

A January B FebruaryC March D April

6 In SM Bijak, 40% of the students study in the afternoon session. The number of

students in the morning session is 2100. Find the number of students in the afternoon session.

Di SM Bijak, 40% pelajar nya belajar di sesi petang. Terdapat seramai 2100 orang pelajar pada sesi pagi. Hitung bilangan pelajar pada sesi petang.

A 700B 840C 1260D 1400

7 Table 2 shows three types of seafood bought by Mira.

SeafoodMakanan Laut

Price per kgHarga per kg

Quantity Kuantiti

CrabKetam

RM25 3.5 kg

FishIkan

RM26 1kg 500 g

Prawn Udang

RM28 500 g

Table 2Jadual 2

Mira has RM200. How much money is left after she has paid for all the seafood?

Jadual 2 menunjukkan tiga jenis makanan laut yang dibeli oleh Mira.Mira ada RM200. Berapakah baki wang wangnya selepas dia membayar untuk semua makanan laut tersebut?

A RM59.50B RM61.75C RM138.25D RM140.50

8 Mr Kang spends 48% of his monthly salary on his children education. He spends

RM18000 on his children education in one year. He receives the same amount of salary every month for that year. What is his monthly salary?

Mr Kang membelanjakan 48% daripada gaji bulanan untuk pendidikan anak-anaknya. Dia membelanjakan RM18000 untuk pendidikan anak-anaknya dalam setahun. Gaji bulanan untuk tempoh setahun itu adalah sama. Berapakah gaji bulanan Mr Kang?

A RM720B RM2160C RM2885D RM3125

9 There are 330 female workers in a factory. The percentage of male workers is 45% of the total workers in the factory. Calculate the number of male workers

Terdapat 330 orang pekerja perempuan bekerja di sebuah kilang. Peratus pekerja lelaki ialah 45% daripada jumlah keseluruhan pekerja kilang itu. Hitung bilangan pekerja lelaki.

A 148B 270C 285D 300

10 In a factory, 47% of the workers are below thirty years old, 38% are between thirty one and forty while the rest are above forty years old. Given that 180 workers are above forty years old, how many workers are below thirty years old?

Di sebuah kilang, 47% daripada pekerjanya berumur bawah tiga puluh tahun, 38% berumur antara tiga puluh satu dan empat puluh tahun. Diberi 180 orang pekerja berumur lebih dari empat puluh tahun, berapa ramaikah pekerja yang berumur kurang dari tiga puluh tahun?

A 456B 564C 1020D 1200

11 In Form 3 Pandai, 64% of its students are Malays, 32% are Chinese and the rest

are Indians. If the class has two Indian students, find the total number of students in the class.

Di kelas 3 pandai 64% daripada pelajarnya adalah Melayu, 32% Cina dan selebihnya pelajar India. Jika terdapat 2 orang pelajar India, kita jumlah pelajar di dalam kelas itu.

A 40B 44C 48D 50

12 Miss Lia is a salesperson. She gets 5% commission for the first RM10,000 of the amount of her sales and 10% for the amount of sales exceeding RM10,000. If her total sales is RM25,000 find the total amount of commission she gets.

Miss Lia ialah seorang jurujual. Dia mendapat 5% komisyen bagi jualan RM10,000 yang pertama dan 10% bagi jualan melebihi RM10,000. Sekiranya jumlah jualannya ialah RM25,000, hitung jumlah komisyen yang diperolehinya.

A RM2000

B RM2750

C RM3000

D RM3750

13 Puan Mariam bought 10.5 m of cloth to make curtains. She used 40% of the cloth to make a curtain for the bedroom. Then she sewed a curtain for the living room and she still had 1.5m left. What is the length, in m, of the cloth did she use to make the curtain for the living room?

Puan Mariam telah membeli 10.5m kain untuk membuat langsir. Dia menggunakan 40% daripada kain tersebut untuk membuat langsir bilik tidur. Kemudian dia menjahit pula langsir untuk ruang tamu dan masih mempunyai baki kain sebanyak 1.5m. Berapa meter kain kah yang digunakan untuk membuat langsir ruang tamu?

A 1.5B 4.2C 4.8D 5.7

14 Table 3 shows the original prices and percentage discounts for four different handbags during a sale.

Original Price (RM)Harga Asal (RM)

Percentage Discount (%)Peratus Diskaun (%)

90 10110 30200 50300 70

What is the price of the cheapest handbag?

Jadual 3 menunjukkan harga asal dan peratus diskaun bagi empat jenis beg tangan semasa suatu jualan murah.Berapakah harga beg tangan yang paling murah?

A RM21B RM33C RM77D RM84

15 Aishah bought 8 books for RM240. She made a profit of 60% from the sale of all the books. Calculate the selling price of each of the bookAishah telah membeli 8 buku berjumlah RM240. Dia mendapat keuntungan sebanyak 60% daripada hasil jualan semua buku tersebut. Kira harga jualan sebuah buku tersebut.

A RM12B RM18C RM30D RM48

16 Diagram 1 shows the arrangement of an apparatus for an experiment

Diagram 1 Rajah 1

If a marble is dropped into container P, 8 ml of water will flow into container Q. Calculate the number of marbles which must be dropped into into container P so that 20% of the water will flow into container Q.

Rajah 1 menunjukkan susun atur alatan untuk satu ujikaji.

Jika sebiji guli dimasukkan ke dalam bekas P, 8 ml air akan mengalir ke dalam bekas Q. Kira bilangan guli yang perlu dimasukkan ke dalam bekas P supaya 20% daripada air akan mengalir ke dalam bekas Q.

A 15B 30C 60D 72

17 Mariam made a profit of RM75000 from a sale. She gave her father and mother RM12000 each and bought a watch costing RM4380. The remainder was saved in the bank. Calculate the percentage she saved.

Mariam mendapat keuntungan sebanyak RM75000 daripada jualannya. Dia memberi RM12000 masing-masing kepada ayah dan ibunya, serta membeli jam yang berharga RM4380. Baki wangnya disimpan di dalam bank. Hitung peratus wang yang disimpan.

A 62%B 78%C 88%D 92%

18 Alex took part in a mathematics quiz. He answered 15% of the questions incorrectly. He answered 17 questions correctly. Find the total number of questions in the quizAlex mengambil bahagian dalam suatu kuiz matematik. 15% daripada soalan yang dijawabnya adalah salah manakala 17 soalan telah dijawab dengan betul. Cari jumlah soalan yang diberi di dalam kuiz itu.

A 20B 25C 40D 50

19 Fadhli buys a camcorder for RM1700. He sells it at a profit of 25%. Calculate the

selling price of the camcorder.

Fadhli membeli sebuah alat perakam dengan harga RM1700. Dia menjualnya dengan keuntungan sebanyak 25%. Kira harga jualan alat perakam itu.

A RM425B RM1275C RM1725D RM2125

20SMK Bestari and SMK Ceria has 80 teachers each. of the teachers in SMK

Bestari are female. The total number of female teachers in both schools are 56. Calculate the percentage of male teachers in SMK Ceria.

SMK Bestari dan SMK Ceria masing-masing mempunyai 80 orang guru.

daripada guru di SMK Bestari adalah perempuan. Jumlah guru perempuan di kedua-dua sekolah ialah 56 orang. Hitung peratus guru lelaki di SMK Ceria.

A 30

B 40

C 60

D 70

1. ANSWER: B

Total amount received = RM30 x 4 =RM 120Total amount saved = 20% x 30 x 4 = RM24Difference = RM120 – RM24 = RM96

2. ANSWER: CNew salary = 108% x 1600 = RM1728

Cost of books =

= RM432

3. ANSWER: C First day = 150 – 45 = 105Second day = 20% x 105 Remaining durians = 105 - 21 = 21 = 84

4. ANSWER: D

Salmah’s money =

Amount Siew Teng gives mother =

Difference = 1250 – 580 = 670

5 ANSWER: B

6. ANSWER: D

7. ANSWER: A

Balance of money = RM200 – RM140.50 = RM59.50

8. ANSWER: D

Total salary =

Monthly salary =

9. ANSWER: B

10 ANSWER: B

11. ANSWER: D

12. ANSWER: A

13. ANSWER: CBedroom curtain = Living room curtain =

14. ANSWER: B

15. ANSWER: B

16. ANSWER: A

17. ANSWER: A

18. ANSWER: A

19. ANSWER: D

20. ANSWER: D

Female teacher in SM Ceria =

Percentage of male teachers in SM Ceria =