On a Rs. 10,000 payment order,a person has a | vedclass

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(D) Let the initial amount be $Rs. 100$.Case-$1$: Successive discounts of $10\%, 10\%, 30\%$.The final amount after discounts is $100 	imes (1 - 0.10

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$255$

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(D) Let the initial amount be $Rs. 100$.Case-$1$: Successive discounts of $10\%, 10\%, 30\%$.The final amount after discounts is $100 	imes (1 - 0.10) 	imes (1 - 0.10) 	imes (1 - 0.30) = 100 	imes 0.9 	imes 0.9 	imes 0.7 = Rs. 56.7$.Case-$2$: Successive discounts of $40\%, 5\%, 5\%$.The final amount after discounts is $100 	imes (1 - 0.40) 	imes (1 - 0.05) 	imes (1 - 0.05) = 100 	imes 0.6 	imes 0.95 	imes 0.95 = Rs. 54.15$.Difference in savings for $Rs. 100$ is $56.7 - 54.15 = Rs. 2.55$.For a payment order of $Rs. 10,000$,the total savings will be $\frac{2.55}{100} 	imes 10,000 = Rs. 255$.

On a $Rs. 10,000$ payment order,a person has a choice between three successive discounts of $10\%, 10\%$ and $30\%$ and three successive discounts of $40\%, 5\%$ and $5\%$. By choosing the better offer,how much can he save in $Rs.$?

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