business mathematics & statistics. lecture 15 review lecture 14 financial mathematics part 2
TRANSCRIPT
BUSINESS MATHEMATICS
&
STATISTICS
LECTURE 15Review Lecture 14
Financial Mathematics Part 2
PARTIAL PAYMENTS
You owe Rs. 40,000. Your terms were 3/10
Within 10 days you sent in a payment of Rs. 10,000 How much is your new balance?
MARKETING
TERMSManufacturer Cost
The price charged to middlemen in ‘The Distribution Chain’
Distributor>Wholesaler>RetailerSelling Price
The price charged to Consumers by Retailers
MARKETINGGross Sales Rs X Less: Cost of Good Sold X Gross Profit X
(Margin/MarkUp) Less: Operating Expenses X Net Profit (Income) Rs. X
Operating Expenses Expenses the company incurs in operating the
business,e.g. rent, wages and utilities
SELLING PRICE
Selling Price (S) = Cost (C) + Markup (M)Example
A computer’s cost = 9,000 + 3,000 Rs.
= 12,000 Rs.
Rs. 3,000 is margin available to meet Expenses and make a Profit
MARKUP
If the MarkUp is to be 33% on Cost then…Selling Price (S) = Cost (C) + Markup (M)
133% = 100% + 33%Cost is 100% the Base
% MarkUp is the Rate
Rs. MarkUp is the Portion
MARKUP
You buy candles for Rs. 10 You plan to sell them for Rs.15 What is your Rs. markup?
What is your percent markup on cost?
Selling price – cost= 15 – 10
= Markup = 5 Rs.
% markup = 5/10*100 = 50%
Selling Price
Fawad’s Appliances bought a sewing machine for Rs. 1,500
To make the desired profit, he needs a 60% markup on Cost.
What is Fawad’s Rs. markup?
What is his Selling price?
Selling Price
Rs. Markup = 1,500 x 0.6= 900 Rs.
Selling Price = 1,500 + 900 = 2,400 Rs.
Or= 1,500 x (1+0.6)
= 1,500 x 1.6= 2,400 Rs.
Rs. MarkUp and Percent on Cost
Tanveer’s flower business sells floral arrangements for Rs.35.
To make his desired profit, Tanveer needs a 40% markup on cost.
What do the flower arrangements cost Tanveer?
What is the Rs. markup?
Rs. MarkUp and Percent on Cost
S = C + M
35 = C + .40(C)
35 = 1 .40(C)
C= 35/1,4= 25 Rs.
M = 25 x 0.4
= 10 Rs.
MARKUP AGAIN
You buy candles for 2 Rs. You plan to sell them for 2.50 RsWhat is your Rs. markup?
What is your percent markup on Selling Price?
MARKUP AGAIN
Rs. Markup = 2.5 – 2 = 0.5 Rs.
Percent markup on Selling Price = (0.5/2.5) x 100
= 20%
Selling Price Again
Fawad’s Appliances bought a sewing machine for Rs. 1,500
To make the desired profit, he needs a 60% markup on Selling price
What is Fawad’s Rs. markup?
What is his Selling price?
Selling Price
Selling Price S = 1,500 + 0.6SS-0.6S = 1,500 Rs.
Or0.4S= 1,500 = 3,750 Rs
Rs. Markup = 3,750 x 0.6= 2,250 Rs.
Rs. MarkUp and Percent on Cost
Tanveer’s flower business sells floral arrangements for Rs. 35.
To make his desired profit, Tanveer needs a 40% markup on selling price
What do the flower arrangements cost Tanveer?
What is the Rs. markup?
Selling Price
Selling Price =35 = C + 0.4x 35
35= C + 14C = 35 – 14
= 21 Rs.Or
C= S- 0.4 S= 0.6 S = 0.6 x 35= 21 Rs.
Rs. Markup = 35 x 0.4 = 14 Rs.
Converting MarkupsConverting 50% MU on Cost
= ? % MU on SFormula
% Markup on Selling Price (mus) to % Markup on Cost (muc)=
% markup on C1 + % markup on C
mus = muc/1+muc= 0.5/1+0.5 = 0.5/1.5
mus= 0.3333 = 33.33%
Converting Markups
Converting 33.33% MU on Sale = ? % MU on C
Formula% Markup on Selling Price (mus) to
% Markup on Cost (muc)=% markup on S
1 - % markup on S
muc = mus/1-mus= 0.3333/1 – 0.333
= 0.3333/0.6666 = 0.5= 50%
BUSINESS MATHEMATICS
&
STATISTICS
MARKDOWNFormula
%Markdown = Rs. Markdown Selling Price (original)
Store A marked down a Rs. 500 shirt to Rs. 360
What is the Rs. Markdown
What is the %markdown?
MARKDOWNRs. Markdown = Old S – New S = Rs.
500 – Rs. 360 = Rs. 140 Markdown%Markdown = Markdown
Old S
= 14 50
= 0.28 = 28 %
MARKDOWNA variety of plastic jug was bought for
Rs. 57.75 was marked up 45%
of the Selling Price
When the jugs went out of production,they were marked down 40%
What was the Sale Price after the 40% markdown?
MARKDOWNSelling price = 100
Markup = 45Cost = 55
Original Sale price= (100/55) x 57.75= 105
Markdown = 40 % = 0.4Rs. Markdown = 105 x 0.4 = 42
Reduced sale= 105 - 42= 63 Rs.
BUSINESS MATHEMATICS
&
STATISTICS