A typsit charges Rs. 145 for typing 10 English and 3 Hindi pages, while charges for typing 3 English and 10 Hindi pages are Rs. 180. Using matrices, find the charges oof typing one English and one Hindi page respectively.
However, typist charged only Rs. 2 per page from a poor student Shyam for 5 Hindi pages.How much less was charged from this poor boy? Which values are reflected in this problem

Two schools A and B decides to award prizes to their students for three values honesty(x), punctuality (y) and obedience (z).School A decides to award a total of Rs. 11000 for three value to 5, 4 and 3 students respectively while school B decided to award Rs. 10700 for teh three values to 4,3 and 5 students respectively.If all the three prizes together amount to Rs. 2700 then:
(i) Represent the above situation by a matrix equation and form linear equations, using matrix multiplication.
(ii) Is it possible to solve the system of equations so obtained using matrix multiplication?
(iii) Which value you prefer to be awarded most and why?

Using matrix method solve the following system of equations:
x + 2y + z = 7, x - y + z = 4, x + 3y + 2z = 10
If 'x' represents the number of persons who take food at home 'y' represents the number of persons who take junk food in the market and 'z' represents the number of persons who take food at hotel. Which way of taking food you prefer and why? 

An amount of Rs. 6500 is invested in three investments at the rate of 6%, 8% and 9% per annum respectively.The total annual income is Rs. 4800.The income from the third instalment is Rs.600 more than the income from the second investment.
(i) Represent the above situation by matrix equation and form linear equations using matrix multiplication.
(ii) Is it possible to solve the system of equations, so obtained, using matrices?
(iii) A company invites investments.It promises to return double the money after a period of 3 years.Will you like to invest in the company

Three shopkeepers A, B and C are using polythene, hand made bags (prepared by prisoners) and newspaper's envelope as carry bags.It is found that shopkeepers A, B and C are using (20, 30, 40), (30, 40, 20) and (40, 20, 30) polythene, hand-made bags and newspaper envelopes respectively. The shopkeepers A, B and C spent Rs. 250, Rs. 270 and Rs. 200 on these carry bags respectively. Find the cost of each carry bag using matrices. Keeping in mind the social and environmental conditions, which shopkeeper is better and why?