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

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?

For keeping fit X people believe in morning walk, Y people believe in Yoga and Z people join GYM. Total number of people are 70. Further 20%, 30% and 40% people are suffering from any disease who believe in morning walk, Yoga and GYM respectively. Total number of such people is 21. If morning walk cost Rs. 0, Yoga cost Rs. 500/month and Gym Rs. 400/month and total expenditure is Rs. 23,000.
(i) Formulate a matrix problem.
(ii) Calculate the number of each type of people.
(iii) why exercise is important for health.

An amount of Rs. 600 crores is spent by the government in three schemes.Scheme A is for saving girl child from the cruel parents who don't want girl child and get the abortion belore her birth.Scheme B is for saving of newlywed girls from death due to dowry.Scheme C is planning for good health for senior citizens.Now twice the amount spent on Scheme C together with amount spent on Scheme A is Rs. 500 crores.And three times the amount spent on Scheme A together with amount spent on Scheme B and Scheme C is Rs. 1200 crores.Find the amount spent on each Scheme, using matrices.What is the importance of saving girl child from the cruel parents who don't want girl child and get the abortion before her birth?