A new company will reease 3 product A,B,C.20% of buyer will buy A, 55% will buy B and 25% will buy C. People that buy A will buy 1.5 units,B 2.5 and C 0.75.What % of total sales will be product of B?

Question

anonymous · Answer

can i get a detailed explanation for this?

aravindg · Answer

First  assume the number of customersbe 100. 20 buys A, 55 buys B and 25 buys C. ie 55 out of 100 buys B. Now the amount bought by 55 people will be 2.5 times 55.

anonymous · Answer

the total shoppers are 20% + 55% + 25%    (100%)
= 0.2 + 0.55 + 0.25
= 1

the total purchases are 0.2*(1.5)+0.55*(2.5)+0.25*(0.75)
= 0.3+1.375+0.1875
=1.8625

so total sales will not be 100%, but 186% relative to customers
because A, B all purchase multiple units.
(they outweigh the customers C which buy less than one.)

out of the 186% total sales,
B will buy 55% x 2.5 units = 137.5% of the total sales.

when normalizing for 186% total sales, we divide by 1.86:
137.5% of 186% is equal to
73.92% of 100% .

The product B accounts for 73.92% of all sales.

aravindg · Answer

Similarly calculate amount bought by A and C.

anonymous · Answer

thank u mathessentials and AravindG

aravindg · Answer

yw :) and Welcome to Openstudy!