Study the following graph carefully to answer the given questions

X can do a certain work in the same time in which Y and R together can do it. If X and Y together could do it in the same time as that of Q then Y alone could do it in: 

The vertices of the 1 cm side are cut from each corner of a square with a side of 4.5 cm. Find the circumference and area of the octagon formed?

Pie chart shows the percent of money spent by family on various item during 1999. Study the graph and answer these questions.

If the total amount spent was Rs. 46,000, how much money was spent on clothing and housing together?

Two ship are on the opposite of a light house such that all three of them are collinear. The angels of depression of the two ships from the top of the light house are 30⁰ and 60⁰. If the ships are $$230 \sqrt { 3} \ $$ m apart, then find the height of the light house (in m).

A and B started business with the initial investment in the ratio 12:11 and their profit in the business were 4x and x respectively. If A invested the money for 11/12 year, then B invested the money for?

35 percent of a number is 1249.5. What is 78 percent of that number?

Two circles of radii 4 cm and 9 cm respectively touch each other externally at a point and a common tangent touch them at the points P and Q respectively. Then the area of square with one side PQ, is:

A dealer sells an article for ₹ 24 and gains as much percent as the price of the article , then the cost price of the article is: