Arihant Expert Team Solutions for Exercise 1: Exercise 1

A person earns $15\%$ on an investment, but loses $10\%$ on another investment. If the ratio of the two investments is $3:5$, what is the gain or loss on the two investments taken together?

Average temperature of a week is ${34}^{o}C$. Average temperature for Sunday, Monday, Tuesday and Wednesday was ${30}^{o}C$ and the average temperature for Wednesday, Thursday, Friday and Saturday was ${40}^{o}C$. The temperature on Wednesday was:

$A$ can do a piece of work in $35$ days while $B$ can complete it in $45$ days. They start the work together, but $A$ drops out after $7$ days. How many days will $B$ take to finish the remaining work?

The difference between the simple interest and compound interest on a certain sum of money at the end of $2$ years is $Rs. 117$ at the rate of $15\%$ per annum, the interest being credited annually. The principal is

The sum of four numbers $A, B, C$ and $D$ is $110$. $C$ is twice $A$, sum of $A$ and $D$ is equal to that of $B$ and $C$. $A:B$ is $3:5$, the numbers are

A man can row $9\frac{1}{3} km/hr$ in still water and he finds that it took him thrice as much time to row up as to row down the river the same distance. The speed of the current (per hour) is:

The average of three numbers is $135$. The largest number is $180$ and the difference of the other two is $25$. The smallest number is:

I am walking on a platform at the rate of $8 km/hr$. A train comes from behind and crosses me in $30$ seconds. If the length of the train is $300 m$, its speed is: