M L Aggarwal Solutions for Exercise 5: Exercise 5.5

A school bus transported an excursion party to a picnic spot $150 \mathrm{km}$ away. While returning, it was raining and the bus had to reduce its speed by $5 \mathrm{km}/\mathrm{h}$, and it took one hour longer to make the return trip. Find the time taken to return in hours.

A boat can cover $10 \mathrm{km}$ up the stream and $5 \mathrm{km}$ down the stream in $6$ hours. If the speed of the stream is $1.5 \mathrm{km}/\mathrm{h}$, find the speed of the boat in still water.

$₹480$ is divided equally among $\text{'}x\text{'}$ children. If the number of children were $20$ more, then each would have got$₹12$ less. Find $\text{'}x\text{'}$.

$₹7500$ were divided equally among a certain number of children. Had there been $20$ less children, each would have received $₹100$ more. Find the original number of children.

$2x$ articles cost $₹\left(5x+54\right)$ and $\left(x+2\right)$ similar articles cost $₹\left(10x-4\right)$; find $x$.

The hotel bill for a number of people for overnight stay is $₹4800$. If there were $4$ more, the bill each person had to pay would have reduced by $₹200$. Find the number of people staying overnight.

A person was given $₹3000$ for a tour. If he extends his tour programme by $5$ days, he must cut down his daily expenses by $₹20$. Find the number of days of his tour programme.

Ritu bought a saree for $₹60x$ and sold it for $₹\left(500+4x\right)$ at a loss of $x\%$. Find the cost price.