Arihant Expert Team Solutions for Exercise 3: Quantitative Aptitude

In $2003$, the total population of a village was $4800$, out of which $40\%$ were females. In $2004$, the total population increased by $10\%$ as compared to the previous year. If the number of females remained the same in $2004$, what was the percentage increase in the number of males in $2004$ as compared to $2003$?

A boat can travel $14.4$ km downstream in $32$ min. If the speed of the current is $3$ km/h, how much time the boat will take to travel $84$ km upstream?

A and B both starts a business. Amount invested by B is one-third of that invested by A. Three months from the start of the business, A withdrew one-third of his investment and B tripled his investments. If from the total annual profit earned, A receives Rs. $1800$ as his share from the profit, what was the total annual profit earned?

A tank(of capacity $160 \mathrm{L}$) has one inlet A and one outlet B. Inlet A alone can fill the tank in $6 \mathrm{h}$ and outlet B alone can empty the full tank in $24 \mathrm{h}$. In how many hours will inlet A fill the tank with $16 \mathrm{L}$ water in the tank, if outlet B is also opened simultaneously?

The respective ratio between the length and breadth of a rectangle is $8:5$ and its perimeter is $208 \mathrm{cm}$. If the side of the square is $40\%$ less than the breadth of the rectangle, what is the perimeter of the square?

The respective ratio of cost price of articles A and B is $7:9$. Article A was sold at a profit of $40\%$ and article B was sold at a profit of $10\%$. If the total profit earned after selling both the articles (A and B) is $₹148$, what is the difference between cost price of articles A and B?

Two years hence, the respective ratio between A’s age at that time and B's age at that time will be $6:5$. A’s age $13$ year ago was half of B’s present age. What is A’s present age?

Ranu’s monthly salary is four-fifth of Ali’s monthly salary. Ranu and Ali save one-fourth and two-fifth amount from their respective monthly salary. If the difference between the amount saved by Ranu and that saved by Ali is Rs. $7000$, what is Ranu’s monthly salary?