M L Aggarwal Solutions for Chapter: Direct and Inverse Variation, Exercise 1: Exercise

Pooja has enough money to buy $36$ oranges at the rate of $₹ 4.50$ per orange. How many oranges she can buy if the price of each orange is increased by $90$paise?

It takes $8$ days for $12$ men to construct a wall. How many men should be put on the job if it is required to be constructed in $6$ days?

Eight taps through which water flows at the same rate can fill a tank in $27$minutes and two taps go out of order. If the remaining taps take $k$ minutes to fill the tank, find the value of $k$.

A contractor undertook a contract to complete a part of stadium in $9$ months with team of $560$ persons. Later on, it was required to complete the job in $5$months. How many extra persons should he employ to complete the work?

A batch of bottles were packed in $30$ boxes with $10$ bottles in each box. If the same batch is packed using $12$ bottles in each box, how many number of boxes would be filled?

Vandana takes $24$ minutes to reach her school if she goes at a speed of $5 \mathrm{km}/\mathrm{h}$. If she wants to reach school in $20$ minutes, her speed is $k \mathrm{km}/\mathrm{hr}$, then find the value of $k$.

A fort is provided with food for $80$ soldiers to last for $60$ days. Find how long would the food last if $20$ additional soldiers join after $15$ days ?

$1200$ soldiers in a fort had enough food for $28$ days. After $4$ days, some soldiers were sent to another fort and thus, the food lasted for $32$ more days. If $k$ number of soldiers left the fort, then find the value of $k$.