Question

The product of one – third of a number and another number increased by 50%, is what percent of the product of the original numbers?

• A. 80%
• B. 50%
• C. 75%
• D. 120%
• E. None of these

Answer 1

The correct option is B 50%

Let the original numbers be x and y and their product be xy.

Product of ${\left(\frac{1}{3}\right)}^{rd}$ of x and 150% of $y=\frac{x}{3}\times \frac{3}{2}y=\frac{xy}{2}$

Required answer = $\frac{xy}{2\times xy}\times 100$ = 50%