The monthly salary of 10 employees in a factory are given below : Rs. 5000, Rs. 7000, Rs. 5000, Rs. 7000, Rs. 8000, Rs. 7000, Rs. 7000, Rs. 8000, Rs. 7000, Rs. 5000 Find the mean, median and mode.

Sachin invested in a National Saving Certificate scheme. In the 1^(th) year, he invested ₹5000, in 2^(nd) year ₹7000, in 3^(rd) year ₹9000 and so on. Find the total amount that he invested in 12 years.

In a legislative assembly election, a political group hired a public relations firm to promote its candidate in three ways: telephone, house calls, and letters. The cost per contact (in paise) is given in matrix A as A=overset("Cost per contact")([(,40,),(,100,),(,50,)]){:("Telephone"),("Housecall"),("Letter"):} The number of contacts of each type made in two cities X and Y is given by B=overset("Telephone Housecall Letter")(" "[(1000,500,5000),(3000,1000,"10,000")]){:(toX),(toY):} . Find the total amount spent by the group in the two cities X and Y.

Find the C.I for the data given below: Principal = Rs. 5000, r = 4% p.a, n = 1(1)/(2) years, interest compounded half-yearly.

The total cost C(x) in Rupees, associated with the production of x units of an item is given by C(x) = 0.005x^(3)- 0.02 x^(2)+30x+5000 Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.

An oil company has two depots A and B with capacities of 7000 L and 4000 L respectively. The company is to supply oil to three petrol pumps, D, E and F whose requirements are 4500L, 3000L and 3500 L respectively, the distances(in km) between the depots and the petrol pumps is given in the following table: Assuming that the transportation cost of 10 litres of oil is 1 per km, how should the delivery be scheduled in order that the transportation cost is minimum? What is the minimum cost?

Find the mean, median, and mode of marks obtained by 20 students in an examination. The marks are given below.

A retired person wants to invest an amount upto Rs 20,000. His broker recommends investing in two types of bonds A and B, bond A yielding 10% return on the amount invested and bond B yielding 15% return on the amount invested. After some consideration he decides to invest atleast Rs 5,000 in bond A and not more than Rs 8,000 in bond B. He also wants to invest atleast as much in bond A as in bond B. How should he invest to maximise his return on investment?

Sumi wants to invest atmost Rs. 20,000 in VIII sereis National Savings Bonds and Kisan vikash Oathras. According to rules, she has to invest atleast Rs. 5000 in saving bonds and atmost Rs. 8000 in Kisan Pathra. If the rate of inerest on savings bond is 10% p.a and the rate of Kisan vikash Pathara is 15% p.a, how much money should she invest in each to ear maximum yearly income ? also find the maximum yearly income.

Count the number of positive integers greater than 7000 less than 8000 which are divisible by 5 provided are that no digits are repeated .