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(C) Let the amount of the bill be $Rs$ $x$.First discount $= 35 \%$.Two successive discounts of $20 \%$ each.The equivalent discount for two successiv

Vedclass · Accepted Answer

$2200$

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(C) Let the amount of the bill be $Rs$ $x$.First discount $= 35 \%$.Two successive discounts of $20 \%$ each.The equivalent discount for two successive discounts of $a \%$ and $b \%$ is given by $\left(a + b - \frac{ab}{100}ight) \%$.Equivalent discount $= 20 + 20 - \frac{20 	imes 20}{100} = 40 - 4 = 36 \%$.The difference between the two discount schemes is $36 \% - 35 \% = 1 \%$.According to the problem,$1 \%$ of $x = 22$.$\frac{1}{100} 	imes x = 22$.$x = 22 	imes 100 = 2200$.Therefore,the amount of the bill is $Rs$ $2200$.

The difference between a discount of $35 \%$ and two successive discounts of $20 \%$ on a certain bill was $Rs$ $22$. Find the amount of the bill in $Rs$.

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