Study resources on Kenyaplex

Get ready-made curriculum aligned revision materials

Exam papers, notes, holiday assignments and topical questions – all aligned to the Kenyan curriculum.

Or go directly to:

Class notes Holiday assignments Topical questions Other resources

The table below shows the income tax ratesJuma is a salaried employee who is given an automatic house allowance of sh. 8000 monthly. He also gets...

The table below shows the income tax rates

Juma is a salaried employee who is given an automatic house allowance of sh. 8000 monthly. He also gets a single relief of Ksh1320. If his P.A.Y.E is Ksh 5420 a month,
(a) Find his total tax in shillings per annum
(b) How much does he earn per month?

Answers

(a) 5420 + 1320 = 6740
6740 x 12 = Kshs. 80,880
(b) 1980 x 2 = 3960
1980 x 3 = 5940
1980 x 5 = 9900
1980 x 7 = 13860
1980 x 9 = 17820
y = 2940
Total taxable pa
= 2940 + (1980 x 5)
= 12,840
= K£12,840 pa
12840 x 20 / 12
= Ksh. 21,400p.m

Kavungya answered the question on November 12, 2019 at 13:36

Answer Attachments

Next: Explain why a rat has a higher food intake compared to a lizard of the same body weight.

Previous: State two ways through which proteins are assimilated in the body

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

(a) Using trapezoidal rule estimate the area bounded by the curve y=3x² - 2 and the lines x=-4 ,x=4 and x-axis. (b) find the actual area... (Solved)

(a) Using trapezoidal rule estimate the area bounded by the curve y=3x² − 2 and the lines x=−4 ,x=4 and x−axis.
(b) find the actual area bounded by the curve y=3x² − 2 and the lines x=−4 ,x=4 and x−axis.
(c) Calculate the percentage error when trapezoidal rule is used.

Date posted: November 12, 2019 . Answers (1)
The probability that a boy goes to school by bus is 1/3 and by matatu is ½. If he uses a bus the probability that... (Solved)

The probability that a boy goes to school by bus is 1/3 and by matatu is ½. If he uses a bus the probability that he is late to school is 1/5 and if he uses a matatu the probability of being late is 3/10. If he uses other means of transport, the probability of being late is 1/20. What is he probability that;
(a) He will be late to school
(b) He will not be late to school
(c) He will be late to school if he does not use a matatu
(d) He neither uses a bus nor matatu but arrives to school early.

Date posted: November 12, 2019 . Answers (1)
The first term of A.P is 3.5, the common difference is d if the difference of 20^th and 6^th terms is 40. (a) (i)find the common... (Solved)

The first term of A.P is 3.5, the common difference is d if the difference of 20^th and 6^th terms is 40.
(a) (i)find the common difference, d
(ii) calculate the sum of the first 40 terms of the AP
(b) The progression is such that the 2^nd , 14^th and 85^th terms of the AP forms the first 3 terms of a G.P. If the common difference of A.P is 2.5
Find
(i) 2^nd term of the G.P
(ii) Sum of the two 10 terms of G.P

Date posted: November 12, 2019 . Answers (1)
An aeroplane that moves at a constant speed of 600 knots flies from town A (14⁰N, 30⁰W) southwards to town B (X⁰S, 30⁰W) taking 3... (Solved)

An aeroplane that moves at a constant speed of 600 knots flies from town A (14⁰N, 30⁰W) southwards to town B (X⁰S, 30⁰W) taking 3 1/2 hrs. It then changes direction and flies along latitude to town C (X⁰S, 60⁰E). Given π = 3.142 and radius of the earth R= 6370 km
(a) Calculate
(i) The value of X
(ii) The distance between town B and town C along the parallel of latitude in km.
(b) D is an airport situated at (5⁰N, 120⁰W), calculate
(i) The time the aeroplane would take to fly from C to D following a great circle through the South Pole.
(ii) The local time at D when the local time at A is 12.20 pm

Date posted: November 12, 2019 . Answers (1)
The figure below shows a frustum of a square based pyramid (not drawn to scale). The base ABCD is a square of sides 10cm. The... (Solved)

The figure below shows a frustum of a square based pyramid (not drawn to scale). The base ABCD is a square of sides 10cm. The top A’B’C’D’ is a square of side 4 cm and each slant edges of the frustum is 5cm long. Calculate the angle between AC’ and the line AC.

Date posted: November 12, 2019 . Answers (1)
Triangle ABC has vertices A(1,0), B(4,0) and C(1,4) is mapped onto A’B’C’ under a shear matrix, x axis invariant and C(1,4) is mapped onto C’(7,4).... (Solved)

Triangle ABC has vertices A(1,0), B(4,0) and C(1,4) is mapped onto A’B’C’ under a shear matrix, x axis invariant and C(1,4) is mapped onto C’(7,4). Find the shear matrix hence find the coordinates of the image of P(2,-3) and Q(-2,-3).

Date posted: November 12, 2019 . Answers (1)
Calculate all the values of x between -180° and +180° which satisfy the equation 6 cos (x - 30)° = -3. (Solved)

Calculate all the values of x between -180° and +180° which satisfy the equation 6 cos (x − 30)° = −3.

Date posted: November 12, 2019 . Answers (1)
The cost of a matatu was sh. 950 000.It depreciated in value by 5% per year for the first 2 years and 15% per for... (Solved)

The cost of a matatu was sh. 950 000.It depreciated in value by 5% per year for the first 2 years and 15% per for the subsequent years. Calculate the value of the matatu after 5 years.

Date posted: November 12, 2019 . Answers (1)
Given that P varies directly as V and inversely as the cube root of R and that P = 12 when V = 3 and... (Solved)

Given that P varies directly as V and inversely as the cube root of R and that P = 12 when V = 3 and R = 2,
(i) Find an equation connecting P, V and R.
(ii) Find the percentage change in P if V is increased by 12% and R decreased by 36%

Date posted: November 12, 2019 . Answers (1)
Use the method of completing the square to solve 4 - 9x - 3x² = 0 (Solved)

Use the method of completing the square to solve
4 − 9x − 3x² = 0

Date posted: November 12, 2019 . Answers (1)
Make h the subject of the formula. (Solved)

Make h the subject of the formula.

Date posted: November 12, 2019 . Answers (1)
The speed of projectile v m/s at a given time t is given by v=10(10t-t²) (Solved)

The speed of projectile v m/s at a given time t is given by v=10(10t-t²) calculate
a. The time when the velocity is maximum
b. The maximum velocity attained
c. The distance traveled by the body in the first 6 seconds
d. The acceleration of the projectile at t=6.5sec

Date posted: November 12, 2019 . Answers (1)
(a) Complete the table below for the function y = 2x² + 3x – 5.(b) On the grid provided draw the graph of y =... (Solved)

(a) Complete the table below for the function y = 2x² + 3x – 5.

(b) On the grid provided draw the graph of y = 2x² + 3x – 5 for -4 = x = 2
(c) Use your graph to state the roots of
(i) 2x² + 3x – 5 = 0
(ii) 2x² + 6x – 2 = 0

Date posted: November 12, 2019 . Answers (1)
Four towns A, B, C and D are such that B is 84km direct to the north of A and C is on a bearing... (Solved)

Four towns A, B, C and D are such that B is 84km direct to the north of A and C is on a bearing of N 65^oW from A at a distance of 60km. D is on a bearing of 340^o from C at a distance of 30km. Using a scale of 1 cm rep 10km
a) Make an accurate scale drawing showing the relative positions of the towns
b) Find the distance and bearing of B from C
c) Find the distance and bearing of D from B
d) Find the bearing of A from D

Date posted: November 12, 2019 . Answers (1)
The figure above shows two circles ABPQ and ABSR intersecting at A and B. QART, PBS and ABU are straight lines. The line TSU is... (Solved)

The figure above shows two circles ABPQ and ABSR intersecting at A and B. QART, PBS and ABU are straight lines. The line TSU is a tangent to the circle ABSR at S. Given that ˂BPQ = 80^o, ˂PBU = 115^o and ˂BUS = 70^o.

Find & state reasons for the following angles
a) ˂BRS
b) ˂BSU
c) ˂STR
d) ˂BAR
e) ˂ARB

Date posted: November 12, 2019 . Answers (1)
(a). The price of an article is marked as sh.12,000. Mr. Mulmulwas sold the article at a discount of 10% and still made a profit... (Solved)

(a). The price of an article is marked as sh.12,000. Mr. Mulmulwas sold the article at a discount of 10% and still made a profit of 5%. Calculate the cost of the article.
(b). Mr. Mulmulwas made a loss of 30% by selling an electric kettle at sh.700. What profit would he have made if she had sold it at sh.1150?
(c). Mr. Mulmulwas is a real estate agent who is entitled to a commission on all properties bought through him. During a certain month he sold 2 mansions at sh. 2.54 million each, 4 flats at sh. 582,000 each and 5 bungalows at sh.354,000 each and he was paid a total commission of sh.458,900. Calculate the percentage rate of commission he was paid.

Date posted: November 12, 2019 . Answers (1)
The angle of elevation of the top of a building from a point P is 45^o. From another point T, 15 meters nearer the foot... (Solved)

The angle of elevation of the top of a building from a point P is 45^o. From another point T, 15 meters nearer the foot of the building, the angle of elevation of the top of the building is 52^o. Calculate the height of the building.

Date posted: November 12, 2019 . Answers (1)
Using tables, find the reciprocal of 0.432 and hence evaluate (Solved)

Using tables, find the reciprocal of 0.432 and hence evaluate

Date posted: November 12, 2019 . Answers (1)
The figure below shows a solid wedge PQRSTU. Complete the solid showing all the hidden edges with dotted lines. (Solved)

The figure below shows a solid wedge PQRSTU. Complete the solid showing all the hidden edges with dotted lines.

Date posted: November 12, 2019 . Answers (1)
A Kenyan bank buys and sells foreign currency as shown in the table below. A tourist arrived in Kenya with 15000 pounds which he converted into... (Solved)

A Kenyan bank buys and sells foreign currency as shown in the table below.

A tourist arrived in Kenya with 15000 pounds which he converted into Ksh at a commission of 8%.
He later used half of the money before changing the balance into dollars at no commission. Calculate
to the nearest dollar the amount he received.

Date posted: November 12, 2019 . Answers (1)