Embibe Experts Solutions for Chapter: Averages, Exercise 1: Exercise 1

The average weight of boys in school is $60$kg while the average weight of girls is $55$kg. The average weight of both boys and girls is $58$kg. Find the number of girls in school if the number of boys is $720$.

In an Entrance Examination Ritu scored $56\%$  marks, Smita scored $92\%$ marks and Rina scored $634$  marks. The maximum marks of the examination are$875$. What are the average marks scored by all the three girls together?

The average weight of $19$ men is $74 \mathrm{kgs}$ and the average weight of $38$ women is $63 \mathrm{kgs}$. What is the average weight (rounded off to the nearest integer) of all the men and the women together?

The average of $30$ numbers is $40$ and that of other $40$ numbers is $30$. The average of all the numbers is _____ .

In what proportion should buffalo milk costing$₹40 \mathrm{per} \mathrm{kg}$ be mixed with cow's milk at$₹30 \mathrm{per} \mathrm{kg}$, so that there is a profit of $20\%$ on selling the mixture at the rate of $₹ 40.8 \mathrm{per} \mathrm{kg}$?

Jatin mixes water with whiskey and sells the mixture at the cost price of the whiskey, such that he makes a profit of $16\frac{2}{3}\%.$ What will be the proportion in which Jatin adds water to the whiskey?

Ramu mixed $30\mathrm{ml}$ of $40\%$ acetic acid solution with $20\mathrm{ml}$ of $60\%$ acetic acid. In what ratio the resulting Solution mixed with $60\%$ acetic acid to given $52\%$ acetic acid again?

Two solutions of acid and water with ratio $2 : 7$ and  $4 : 5$ are mixed in $2 : 1$ ratio. What is the ratio of acid to water in the resulting mixture?