Mahabir Singh Solutions for Chapter: Pair of Linear Equations in Two Variables, Exercise 2: EVERYDAY MATHEMATICS

Arun and Prabhat have some books with them. Once Prabhat said to Arun that, if Arun gives $3$ books to Prabhat then Arun will have only $\frac{1}{2}$ of the books that Prabhat will have with him. Then Arun asked frankly that if Prabhat gives him only two books (to Arun), then Prabhat will have as many books as Arun will have. The total number of books that Arun and Prabhat have with them is $\_\_\_\_\_\_\_\_\_\_\_\_\_$

A boat goes $32 \mathrm{km}$ upstream and $36 \mathrm{km}$ downstream in $7$ hours. In $9$ hours, it can go $40 \mathrm{km}$ upstream and $48 \mathrm{km}$ downstream. If $x$ represents the speed of the boat in still water in $\mathrm{km}/\mathrm{hr}$and $y$ represents the speed of the stream in $\mathrm{km}/\mathrm{hr}$, then _____

At the end of the year $2002$, Ram was left with half as old as his grandpa. The sum of the years in which they were born is $3854$. Age of Ram at the end of the year $2003$ is  _____

On selling a tea-set at $5\%$ loss and lemon-set at $15\%$ gain, a crockery seller gains $₹7$. If he sells the tea set at $5\%$ gain and the lemon-set at $10\%$ gain, he gains $₹13$. Find the actual prices of the tea-set and the lemon-set.