Product of one-third of a number and 150% of another number is what percent of the product of original number?

Correct option is B

Given:
Let the two original numbers be x and y
We are comparing:
(1/3 × x) × (150% of y) with x × y

Formula:
​$$\text{Required } \% = \frac{\left(\frac{1}{3} \times x\right) \times \left(1.5 \times y\right)}{x \times y} \times 100$$​​

Solution:
​$$\text{Required } \% = \frac{\frac{1}{3} \times 1.5 \times x \times y}{x \times y} \times 100\\= \left(\frac{1}{3} \times 1.5\right) \times 100= 0.5 \times 100 = 50\%$$​​

 Correct Answer: (b) 50