`66 (2)/(3) %` of the monthly income of a person is spent on food. If the expense for food is Rs. 3000 , what is his monthly Income?

The ratio of incomes of two persons is 9:7 the ratio of their expenses is 4:3 . If each of them saves Rs. 200 every month,find their monthly incomes.

Raju spends 40 % of his income on food. 35 % he spends on rent and dress and 10 % on his children's education. The rest he saves and this amounts to Rs. 450 . What is his total income? How much does he spend on food?

The income of a person is Rs. 300000 in the first year and he receives an increase of Rs. 10000 to his income per year for the next 19 yéars. find the total amount, he received in 20 years.

A tank with rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 2 m and volume is 8m^3 . If the building of tank costs Rs. 70//sq metres for the base and Rs. 45//_"square" metres. For sides, what is the cost of least expensive tank?

10 households in a neighbourhood are sorted acccording to their monthly income are given below 16500, 21700, 18600, 21050, 19500, 17000, 21000, 18000, 22000, 75000:-What is the mean income of these 10 families?

Jayan spent 8400 rupees in a month for food and it is 35 % of his earnings. How much did he earn that month?

A merchant plans to sell twó types of personal computers - a desktop model and a portable model that, will cost Rs 25000 and Rs. 40000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant should stock to get maximum profit if he does not want to invest more than Rs 70 lakhs and if his profit on the.desktop model is Rs 4500 and on portable model is Rs 5000 .

There are three families. Family A consists of 2 men, 3 women and 1 child. Family B has 2 men, 1 woman and 3 children. Family C has 4 men, 2 women and 6 children. Daily income of men and women as Rs. 200 and Rs. 150 respectively and children have no income. Using matrix multiplication calculate daily income of each family.

Reshma wishes to mix two types of food P and Q in such a way that the vitamin contents of the mixture contain atleast of 8 units of the vitamine A and 11 units of vitamine B. Food P costs Rs . (60)/(kg) and Food Q costs Rs. (80)/(kg) . Food P contains 3 (units)/(kg) of vitamine A and 5 (units)/(kg) of vitamine B. While food Q contains 4 (unit)/(kg) of vitamine A and 2 (unit)/(kg) of vitamine B. Determine the minimum cost of the mixture.

A diet is to contain atleast 80 units of vitamin A and 100 units of minerals.Two foods F1 and F2 are available.Food F1 costs Rs 4 per unit food and F2 costs Rs 6 per unit.One unit of food F1 contains 3 units of vitamin A and 4 units of minerals.One unit of food F2 contains 6 unit of of vitamin A and 3 units of minerals.Formulate this as a linear programming problem.Find the minimum costs for diet that consists of misture of these two foods and also meets the minimal nutritional requirements.