Question

A salesman receives a basic salary of#750,000 a year with a commission of 6% of the value of goods sold and a car allowance of #45 per km.
(a) Find the total amount he received in a year in which he sells goods worth #9,373,000 and travels 10,000 km.
(b) The next year he travels 12,000 km and receives a total of #2,010,000. Calculate the percentage increase in the value of goods sold.

Answer 1

f(s,m) = 750000 + .06s + 0.45m
So now just find
f(9373000,10000)
then find s when
f(s,12000) = 201000

then the % increase will be (s-9373000)/9373000 * 100%

Answer 2

Solution

Answer 3

a. Basic salary = #750,000
6% of the value of goods sold
= 6/100× ₦9,375000 = 562,500
#45 per Km
= 45×10,000= #450,000
Total amount he receives in a year = #750,000 + #562,500 + #450,000
= #1, 762,500.

. Total amount received in the next year. = #2, 010,000
Travels 12,000Km.
= 12,000 × 45 = ₦540,000
Basic salary. = #750,000
#2,010,000 - #540,000 - #750,000 = #720,000
Value of goods sold. = #720,000
Percentage increase in the value of goods sold.
(#720,000-#562,500) / ₦562,500 × 100
#157,500 / #562,500 × 100
= 28%.

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Answer 4

a. Basic salary = ₦750,000
6% of the value of goods sold
= 6/100× ₦9,375000 = 562,500
₦45 per Km
= 45×10,000= ₦450,000
Total amount he receives in a year = ₦750,000 + ₦562,500 + ₦450,000
= ₦1, 762,500.

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Answer 5

a. Basic salary = ₦750,000
6% of the value of goods sold
= 6/100× ₦9,375000 = 562,500
₦45 per Km
= 45×10,000= ₦450,000
Total amount he receives in a year = ₦750,000 + ₦562,500 + ₦450,000
= ₦1, 762,500.

b. Total amount received in the next year. = ₦2, 010,000
Travels 12,000Km.
= 12,000 × 45 = ₦540,000
Basic salary. = ₦750,000
₦2,010,000 - ₦540,000 - ₦750,000 = ₦720,000
Value of goods sold. = ₦720,000
Percentage increase in the value of goods sold.
(₦720,000-₦562,500) / ₦562500 × 100
₦157500 / ₦562500 × 100
= 28%

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