Arithmetic Questions

In a mixture, the ratio of the first and second liquid is $2:3$, and in another mixture, the ratio of those two liquids is $5:4$. The ratio in which the two mixtures must be mixed so that the quantity of the two liquids in the new mixture is equal is:

The present ages of Jeevan and Manish are 58 years and 20 years, respectively. Find the sum of their ages 4 years ago.

A student randomly picks a day from the days of a week. What is the probability that the selected day starts with the letter 'W' or 'S' ?

The ratio of glycerin and water in a mixture is $3:1$. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of glycerin and water becomes $1:1$?

A container contains two liquids, X and Y, in the ratio $5:3$. When $8\text{liters}$ of the mixture is drawn off, and the container is filled with liquid Y, the ratio of X to Y becomes $2:3$. How many liters of liquid X was in the container initially?

A pump can fill a tank with water in $3\text{hours}$. Due to leakage in the bottom, it takes $3\frac{1}{2}\text{hours}$ to fill it. In what time will the leak empty the fully filled tank?

Kartik walks from point A to B with $50\text{km/hr}$ speed and returns from B to A with a speed of $30\text{km/hr}$. Find his average speed.

By selling a tape-recorder for $\text{Rs. }1900$, I lost $5\%$. What percent shall I gain by selling it for $\text{Rs. }2080$?

Convert $9\text{km/hr}$ into $\text{m/s}$.

The average per day income of A, B and C is $\text{Rs. }45$. If the average per day income of A and B is $\text{Rs. }40$ and that of B and C is $\text{Rs. }43$, then the per day income of B is:

After selling $17$ books for $\text{Rs. }720$, a shopkeeper incurs a loss equal to the cost price (C.P.) of $5$ books. Find the C.P. of a book.

There were two candidates in an election. $10\%$ of voters did not cast their votes. $60$ votes were found invalid. The winning candidate got $47\%$ of the total votes and won by $308$ votes. Find the number of voters enrolled.

Income of X is 25% more than that of the income of Y. What percent is Y's income less than that of X's income?