A reduction of 10 % in the price of rice enab | vedclass

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(B) Let the original price of rice be $x$ per $	ext{kg}$.Total amount spent = $Rs. 2250$.Original quantity of rice = $\frac{2250}{x} 	ext{ kg}$.Redu

Vedclass · Accepted Answer

$9$

Vedclass · Answer

(B) Let the original price of rice be $x$ per $	ext{kg}$.Total amount spent = $Rs. 2250$.Original quantity of rice = $\frac{2250}{x} 	ext{ kg}$.Reduced price = $x - 0.10x = 0.90x$.New quantity of rice = $\frac{2250}{0.90x} = \frac{2500}{x} 	ext{ kg}$.According to the problem,the difference in quantity is $25 	ext{ kg}$:$\frac{2500}{x} - \frac{2250}{x} = 25$.$\frac{250}{x} = 25$.$x = 10$.The original price was $Rs. 10$ per $	ext{kg}$.The reduced price is $10 	imes 0.90 = Rs. 9$ per $	ext{kg}$.Alternatively: $A$ reduction of $10 \%$ on $Rs. 2250$ is $Rs. 225$. This saving allows the purchase of $25 	ext{ kg}$ of rice at the new price. Therefore,the reduced price per $	ext{kg}$ is $\frac{225}{25} = Rs. 9$.

$A$ reduction of $10 \%$ in the price of rice enables a person to obtain $25 \text{ kg}$ more for $Rs. 2250$. Find the reduced price per $\text{kg}$ of the rice (in $Rs.$).

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