Question

There are two book shops owned by Suresh and Ganesh. Their sales (in Rupees) for books in three subject – Physics, Chemistry and Mathematics for two months, July and August 2017 are given by two matrices A and B.

July sales (in Rupees), Physics Chemistry Mathematics.

A = `[(5600, 6750, 8500),(6650, 7055, 8905)]"First Row Suresh"/"Second Row Ganesh"`

August sales(in Rupees), Physics Chemistry Mathematics

B = `[(6650, 7055, 8905),(7000, 7500, 10200)]"First Row Suresh"/"Second Row Ganesh"` then,

If both book shops got 10 % profit in the month of August 2017, find the profit for each book seller in each subject in that month

Answer 1

Profit percentage for each book shop and for each subject is 10 % in August 2017 and the total sale is given in matrix form as

	Physics	Chemistry	Maths
Suresh	6650	7055	8905
Ganesh	7000	7500	10200

∴ profit for each book seller in each subject is given by

`10/100[(6650, 7055, 8905),(7000, 7500, 10200)]`

= `[(6650 xx 1/10, 7055 xx 1/10, 8905 xx 1/10),(7000 xx 1/10, 7500 xx 1/10, 10200 xx 1/10)]`

= `[(665, 705.5, 890.5),(700, 750, 1020)]`

Hence, the profit for Suresh book shop are ₹ 665 (in Physics),₹ 705.50 (in Chemistry),₹ 890.50 (in Maths) and for Ganesh,book shop are ₹ 700 (in Physics), ₹ 750 (in Chemistry), ₹ 1020 (in Maths).