Inverse Proportion

You draw a circle of a given radius. Then, draw its radii in such a way that the angles between any pair of radii are equal. You start with drawing $3$ radii and end with drawing $12$ radii in the circle. Prepare a table for the number of radii to the angle between a pair of consecutive radii and check whether they are in inverse proportion. What is the proportionality constant.

$80$ labourers can build a building in $16$ months. How many months will $128$ labourers take to build it under the same working conditions?

If $3$ tailors can stitch $10$ shirts in $4$ days, then how much time will $6$ tailors take to stitch $10$ shirts?

If $100$ oranges are packed into one carton, $20$ such cartons are needed to pack all the oranges. How many oranges can be packed in each carton, if $40$ identical cartons are there?

If $100$ oranges are packed into one carton, $20$ such cartons are needed to pack all the oranges. If $80$ oranges are packed in one carton, how many such cartons will be needed?

A bike travels $90 \mathrm{km}$ in $5$ hours. How much distance does it cover in $2$ hours $20$ minutes when it travels at the same speed ?

If Harsha buys $18$ bananas spending $₹90$, how many more bananas does Monu buy spending $₹135$

If $20$ men can dig a well in $16$ days, how many men will be required to dig the well in $10$ days?

$6$ taps can fill a water tank in $4$ hours. If only $2$ taps are open, how long will it take to fill the tank?

If $125$ people can do a piece of work in $75$ days, in how many days will $25$ people do it?

Soni has enough money to buy $15$ notebooks worth $₹8$ each. If each notebook was to cost $₹4$ more, then how many notebooks would she be able to buy with that amount of money?

A $250 \mathrm{m}$ long train is running at a speed of $55 \mathrm{km}/\mathrm{h}$. In how much time will it cross a platform of the length of $520 \mathrm{m}$?

If $10$ persons can dig a well in $20$ days, in how many days will $4$ persons dig another well of the same dimensions?

$6$ taps of equal capacity can fill a tub in $30$ minutes. How many taps can fill it in $20$ minutes?

If $104$ men can do a piece of work in $70$ days, in how many days will $28$ men do it?

The higher the speed of a car, the lesser time it takes to reach its destination. What example of variation can be seen here?

What is the correct equation that relates ‘x’ and ‘y’ inversely, when y = 3 and x = 8.32?

Which variation does the equation xy = 8 represent?