R S Aggarwal Solutions for Exercise 3: EXERCISE 7C

A man repays a loan of $₹3250$ by paying $₹20$ in the first month and then increases the payment by $₹15$ every month. How long will it take him to clear the loan? (Write the answer in months).

$150$ workers were engaged to finish a piece of work in a certain number of days. Four workers dropped the second day, four more workers dropped the third day and so on. It takes $8$ more days to finish the work now. Find the number of days in which the work was completed.( Write the answer in days.)

Two cars start together in the same direction from the same place. The first goes with uniform speed of $40 \mathrm{km}/\mathrm{hr}$. The second goes at a speed of $36 \mathrm{km}/\mathrm{hr}$ in the first hour and increases the speed by $1 \mathrm{km}$ each succeeding $\mathrm{hr}$. After how many $\mathrm{hrs}$ will the second car overtake the first car if both cars go non-stop? (Write the answer in $\mathrm{hrs}$)

There are $30$ trees at equal distances of $5$ $\mathrm{m}$ in a line with a well, the distance of the well from the nearest tree being $10$ $\mathrm{m}$. A gardener waters all the trees separately starting from the well and he returns to the well after watering each tree to get water for next. Find the total distance the gardener will cover in order to water all the trees. (Write the answer in $\mathrm{m}$)

A sum of $₹62400$ is paid off in $30$ Instalments such that each Instalment is $₹100$ more than the preceding Instalment. Calculate the first Instalment. (Write the answer in $₹$)

A circle is completely divided into $n$ sectors in such a way that the angles of the sectors are in A.P. If the smallest of these angles is $8°$ and the largest is $72°$, calculate $n$ and the angle in the fifth sector.

The interior angles of a polygon are in A.P. The smallest angle is $52°$ and the common difference is $8°$. Find the number of sides of the polygon.

The digits of a three-digit number are in A.P and their sum is $15$. The number obtained by reversing the digits is $594$ less than the original number. Find the number.