V K Raman and S N Sharma Solutions for Exercise 2: EXERCISE 18(B)

In a class there are $40$ students. Some students contributed $₹ 5$ and the rest $₹ 10$ towards a flood relief fund. The total collection was $₹ 350$. Find the number of students who contributed $₹ 5$.

In a bag there are $80$ currency notes. Some of them are $₹ 10$ notes while the others are $₹ 20$ notes. If the total value is $₹ 1000$, find the number of $₹ 10$ notes.

A certain number of labourers can complete levelling a road in $30$ days. With $10$ labourers less, the work was completed in $36$ days. Find the original number of labourers.

There was food provision for some soldiers in a garrison for $40$ days. $50$ extra soldiers joined the garrison and the food provision lasted for only $32$ days. How many soldiers were there originally in the garrison ?

An excursion party covered a distance of $90 \mathrm{km}$ in $3$ hours, partly by train at $35 \mathrm{km}/\mathrm{h}$ and partly by bus at $20 \mathrm{km}/\mathrm{h}$. Find the distance covered by bus.

An excursion party covered a distance of $60 \mathrm{km}$ in $5$ hours, partly by boat at $10 \mathrm{km}/\mathrm{h}$ and partly by bus at $20 \mathrm{km}/\mathrm{h}$. Find the distance covered by boat (in km/hr).

( Note: Enter only numerical value)

The unequal side of an isosceles triangle is $3 \mathrm{cm}$ longer than the equal sides. If the perimeter of the triangle is $27 \mathrm{cm}$, and the length of the unequal side is $\mathrm{k} \mathrm{cm}$, then find $k$.

In an isosceles triangle, the unequal angle is $30°$ less than the equal angles. Find the measure of the equal angles.