Question Bank | Personal and Household Finance

Personal and Household Finance

186.

4

-year investment at

15 %

compound interest per year yields a total savings of M

15, 900

.
The principal amount for the investment can be expressed in the form M

1.59 \times \frac{{(10^{x})}^{y}}{A^{y}}

.
Find the values of

A

x

and

y

A

= .........................

x

= .........................

y

= ......................... [3]

Paper 1

187.

A shopkeeper bought a cell-phone for M

1500

. She later sold it making

30 %

profit. Calculate the selling price.

M ......................... [2]

Paper 1

188.

A shopkeeper pays M

320

for

16

cartons of milk.
(a) Find the amount he pays for one carton.

......................... [2]

(b) He sells

\frac{7}{8}

of the

16

cartons for M

30.00

each and the rest for M

22.00

each. Calculate the total amount he receives from selling all the cartons.

......................... [2]

Paper 1

189.

(a) Mpho's salary is M

4, 400

. Calculate her new salary after a

5 %

increase.

......................... [2]

(b) Thato and Pule share M

3, 500

in the ratio

3 : 2

. Calculate Pule's share.

......................... [2]

4, 000

for

3

years at the rate of

8 %

per annum simple interest. Calculate the interest he receives after

3

years.

......................... [2]

Paper 1

190.

Teboho, Sello and Hape have

300

sweets to sell at school.
Hape sold

80

sweets.

The pie chart represents the number of sweets each boy sold.

(a) How many sweets were sold by Teboho?
(b) Find the value of

x

(a) ......................... [2] (b)

x

= .........................° [2]

Paper 1

191.

Thato has M

800

.

She spends

\frac{5}{16}

of it on food and

\frac{1}{5}

of the remaining on petrol.

Find the fraction of M

800

that Thato has after paying for food and petrol.

................................. [3]

Paper 1

192.

The table shows account balances of four men.

Names of Men	Balance in Maloti (M)
Fako	$25$
Khotso	$- 3$
Phoka	$20$
Thabo	$5$

(a) Write the name of the man who has the lowest balance.

......................... [1]

(b) Find the difference between Khotso and Thabo's balances.

......................... [2]

Paper 1

193.

The original price of a cell phone is M

2500

. Calculate the price of the cell phone when it is sold at

20 %

discount.

M ......................... [2]

Paper 1

194.

The table shows the sizes of trousers of

15

men.

Size	$26$	$28$	$30$	$32$	$34$
Frequency	$3$	$5$	$4$	$2$	$1$

(a) Find the median size.

......................... [2]

(b) On the grid, draw the bar chart to represent the data.

......................... [2]

Paper 1

195.

The exchange rate from Maluti (M) to Pula (P) is P1.00 = M1.07.
Molise travels from Botswana to Lesotho. He has P2000 to exchange into Maloti. How much Maluti does he receive?

M ......................... [2]

Paper 1

121.

(a) The cost of petrol in November 2019 was M12.65 per litre.
(i) Calculate the maximum number of full litres of petrol that could be bought for M150.

......................... [2]

(ii) In January 2020 the cost of a litre of petrol decreased by 1.98%. Calculate the cost of a litre of petrol in January 2020.

M ......................... [3]

Paper 3

122.

Mr. Khutlo invests Mx in Bank A and My in Bank B.
The total money invested is M2500.
He gets 10% interest from Bank A and 20% interest from Bank B which makes an interest of M380 after the investment.
One of the equations which represent, or otherwise, find the amount of money Mr. Khutlo invested in Bank B.

M ......................... [4]

Paper 3

123.

(a) Tau buys a car at M32 500 and sells it making a loss of 20%. Calculate his selling price.

M ......................... [3]

(b) 'Mule invests M41 600 in a bank that offers: Compound interest for the first 2 years at 3% per annum, then Simple interest for the next 8 years at 5% per annum. Calculate the total interest.

M ......................... [5]

Paper 3

124.

A farmer has 540 bags of wet sorghum each having a mass of 69 kg.
After the sorghum was left to dry it was observed that the ratio mass of dried sorghum : mass of wet sorghum = 15:16.
(a) Calculate the total mass lost during drying.

......................... kg [3]

(b) A trader bought the 540 bags of dried sorghum at M168.75 per bag. He then repacked them into 75 kg bags. He transported them to a market in loads of up to 162 bags per trip.
(i) Find the minimum number of trips required to transport all the sorghum.

......................... [2]

(ii) The trader paid M250 per trip and sold all the bags of dried sorghum to make a profit of 26%. Calculate the selling price of each bag.

M ......................... [3]

Paper 3

125.

The cash price of a mobile set is 10% less than the hire purchase price.
A customer buys the mobile set on a hire purchase and pays a deposit of M300 followed by 12 monthly instalments of M150.
Calculate:
(i) The cash price,

M ......................... [2]

(ii) The rate of interest.

......................... % [3]

Paper 3

126.

(a) Thabo buys a car for M40 000 and then sells it at a loss of 5%. Calculate the selling price.

M ......................... [2]

(b) A piece of land increases in value from M50 000 by 4% every year. Calculate the price of the land after three years.

M ......................... [3]

\frac{2}{3}

more than the small milkshake.
(i) Find the size of the large milkshake.

......................... ml [2]

(ii) Express as a ratio, in its simplest form, the size of the small milkshake to the large milkshake.

......................... : ......................... [2]

Paper 3

127.

Thato wants to paint four identical walls of a house using 25.6 litres of paint on each wall.
He buys paint in 5 litre containers, at M400 per container.
(a) Calculate:
(i) The number of 5 litre containers needed to paint one wall,

......................... [2]

(ii) The total amount that Thato will pay for painting all the four walls.

M ......................... [2]

(b) A shop charges a normal price on the first ten 5 litre containers and gives a discount of 40% on each additional container bought.
(i) Calculate the total discount offered.

M ......................... [3]

Paper 3

128.

Pule travels between Lesotho and Ireland at a time when the exchange rate is 1 Euro = M14.84.
(a) He changes M8 200 to Euros and the bank deducts 1% commission.
(i) How much commission, in Maloti, does the bank deduct?

M ......................... [2]

(ii) After the commission is deducted, work out how many Euros Pule receives.

€ ......................... [2]

(b) Pule arrives in Ireland at 0200 after a journey of 11 hours from Lesotho. At this time, the local time in Lesotho is 0400.
(i) Write 0200 hours in a 12-hour clock.

......................... [1]

(ii) Find the Lesotho local time at which Pule departed from Ireland.

......................... [2]

Paper 3

129.

(a) A packet of beans has a mass of 250 g correct to the nearest gram.
(i) Write the least possible mass of the packet.

......................... g [1]

(ii) Calculate the upper bound for the mass of 8 packets.

......................... g [2]

(iii) A shopkeeper buys 24 packets of beans for M156.
Calculate:
(a) the cost price of each packet,

M ......................... [1]

(b) the percentage profit if all the packets are sold for M204.

......................... % [3]

(b) Bank A offers 12% simple interest per annum.
Bank B offers 1% compound interest per month.
If M7 000 is invested in each bank for three months, which bank will give greater interest? Show all the workings clearly.

......................... [4]

Paper 3

130.

Mohokare company renovates its park.
(a) The market value of the park increases from M370 000 to M382 580. Calculate the percentage increase.

......................... % [2]

(b) Thandi works at the park for 9 hours per day. She is paid M17.65 per hour. Calculate her total payment for working 20 days.

M ......................... [2]

(c) The entrance fee at the park is M9.50 per adult and M7.25 per child. One day 22 adults and 32 children visited the park. Calculate the total entrance fee received.

M ......................... [2]

(d) On another day, 360 people visited the park. These people were in the ratio men : women : children = 3 : 2 : 7. Calculate the number of men who visited the park that day.

......................... [2]

Paper 3

131.

(a) Mpho and Lineo share M320 in the ratio 5:3. How much more does Mpho receive than Lineo?

M ......................... [3]

(b) Mpho spends

\frac{3}{5}

of the money she receives.
(i) Calculate how much she spends.

M ......................... [2]

(ii) Chocolates cost M11 each. Work out the number of chocolates she can buy.

......................... [2]

Paper 3

132.

Ramasimong invests M600 at 6% per year compound interest. Calculate the total amount he has after 3 years.

M ......................... [3]

Paper 3

133.

(a) The basic working week for a chauffeur is 40 hours at a basic rate of M42.50 per hour.
If he works overtime he is paid M15.50 more per hour than the basic rate.
Calculate:

(i) His wage for a basic week,

M ......................... [1]

(ii) His total wage for a week in which he worked for 45 hours,

M ......................... [2]

(iii) The number of hours he worked in one week if he was paid a total wage of M2 338.

......................... hours [2]

Paper 3