The product of one-third of a number and 150 | vedclass

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Question

(B) Let the original numbers be $x$ and $y$. Their product is $xy$.One-third of the first number is $\frac{x}{3}$.$150 \%$ of the second number is $\f

Vedclass · Accepted Answer

$50$

Vedclass · Answer

(B) Let the original numbers be $x$ and $y$. Their product is $xy$.One-third of the first number is $\frac{x}{3}$.$150 \%$ of the second number is $\frac{150}{100} 	imes y = \frac{3}{2}y$.The product of these two values is $\frac{x}{3} 	imes \frac{3}{2}y = \frac{xy}{2}$.To find what percent this product is of the original product $xy$,we calculate:$\frac{\frac{xy}{2}}{xy} 	imes 100 = \frac{1}{2} 	imes 100 = 50 \%$.

The product of one-third of a number and $150 \%$ of another number is what percent of the product of the original numbers?

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