If Rs.250 is to be amongst Ravi, Raju and Roy, so that Ravi gets two parts, Raju three parts and Roy five parts. How much money will each get? What will it be in percentages?

Raju bought a book for Rs 35 . 65 .He gave Rs 50 to the shopkeeper. How much money did he get back from the shopkeeper?

I buy a T.V. for Rs.10,000 and sell it at a profit of 20%. How much money do I get for it?

A man who had a plot in the shape of a parallelogram divided it into three equal parts and gave one-thrid part ot his son which again was in the shape of a parallelogram. The son seeing that there was no school in the village ecides to open a school there. Answer the following questions: Show how could this decision of the man be implemented. What part did the son get? Explain with figure.

Arya, Abhimanyu, and Vivek shared lunch. Arya has brought two sandwiches, one made of vegetable and one of jam. The other two boys forgot to bring their lunch. Arya agreed to share his sandwiches so that each person will have an equal share of each sandwich. What part of a sandwich will each boy receive?

Sanya has a piece of land which is in the shape of a rhombus (See Fig. ). She wants her one daughter and one son to work on the land and produce different crops to suffice the needs of their family. She divided the land in two parts by joining its opposite comers. If the perimeter of the land is 400 m and one of the diagonals is 160 m, how much area each of them will get to work on.

Sanya has a piece of land which is in the shape of a rhombus (See Fig. ). She wants her four children to work on the land and produce different crops to suffice the needs of their family. She divided the land in four parts by joining its opposite comers. If the perimeter of the land is 400 m and one of the diagonals is 160 m, how much area each child will get to work on.

A window of perimeter P (including the base of the arch) is in the form of a rectangle surrounded by a semi-circle. The semi-circular portion is fitted with the colored glass while the rectangular part is fitted with the clear glass that transmits three times as much light per square meter as the colored glass does. What is the ratio for the sides of the rectangle so that the window transmits the maximum light?

A manufacturer has three machines I, II and III installed in his factory. Machines I and II are capable of being operated for at most 12 hours whereas machine III must be operated for at least 5 hours a day. She produces only two items M and N each on the three machines are given in the following table: SHe makes a profit of Rs 600 and Rs 400 on items M and N respectively. How many of each item should she produce so as to maximise her profit assuming that she can sell all the items that she produced? What will be the maximum Profit?

In a company a man invested Rs 38000, a part of it at an annual interest of 10% and rest at a rate of 15%. If he received a total intereset of Rs 5500, how much did he invest in each plane

There are two types of fertilisers F_1 and F_2 . F_1 consists of 10% nitrogen and 6% phosphoric acid and F_2 consists of 5% nitrogen and 10% phosphoric acid. After testing the soil conditions, a farmer finds that she needs atleast 14 kg of nitrogen and 14 kg of phosphoric acid for her crop. If F_1 costs Rs 6/kg and F_2 costs Rs 5/kg, determine how much of each type of fertiliser should be used so that nutrient requirements are met at a minimum cost. What is the minimum cost?