Arihant Expert Team Solutions for Exercise 3: Quantitative Aptitude

The cost price of item B is Rs.$150$ more than the cost price of item A. Item A was sold at a profit of $10\%$ and item B was sold at a loss of $20\%$. If the respective ratio of selling price of items A and B is $11:12$, what is the cost price of item B?

A vessel contains a mixture of milk and water in the respective ratio of $10:3.$ Twenty-six litres of this mixture was taken out and replaced with $10$ litres of water. If the resultant respective ratio of milk and water in the mixture was $5:2$, what was the initial quantity of mixture in the vessel?

A is thrice as efficient as B. A started working, and after $4$ days, he was replaced by B. B then worked for $15$ days and left. If A and B together finished $75\%$ of the total work, in how many days B alone can finish the whole work?

Raman invested Rs. $P$ for $2$ years in scheme A which offered $20\%$ per annum compound interest. He lent the interest earned from scheme A to Shubh at the rate of $7.5\%$ per annum at simple interest. If at the end of $2$ years, Shubh gave Rs. $3036$ to Raman and thereby rapid the whole amount (actual loan + interest), what is the value of $P$?

A started a business by investing Rs. $25000$. At the end of the fourth month from the start of the business, B joined with Rs.$15000$, and at the end of the sixth month from the start of the business, C joined with Rs. $20000$. If A's share in profit at the end of the year was Rs. $7750$, what was the total profit received?

The respective ratio of radii of two right circular cylinders (A and B) is $2:3$. The respective ratio of volumes of cylinders A and B is $9:7$. What is the ratio of heights of cylinders A and B?

Suri gave $25\%$ of her monthly salary to her mother. From the remaining salary, she paid $15\%$ towards rent and she kept aside $25\%$ for her monthly expenses. The remaining amount she kept in a bank account. The sum of the amount she kept in bank and the amount she gave to her mother was Rs.  $42000$. What was her monthly salary?

At present, Ami's age is twice Rio's age and Cami is $2$ years older than Ami. $2$ years ago, the respective ratio between Rio's age at that time and Cami's age at that time was $4:9$. What will be Ami's age after $4$ years?