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7.Profit and Loss
medium
The difference between a discount of $35 \%$ and two successive discount of $20 \%$ on a certain bill was $Rs$ $22.$ Find the amount of the bill in $Rs.$
A
$200$
B
$1100$
C
$2200$
D
Data inadequate
Solution
Let the amount of bill be $Rs$ $x$.
$1st$ discount $=35 \%$
$2nd$ discount $=20 \%$, each two times in succession.
$\therefore$ Equivalent discount for $2 nd$ one $=\left(-20-20+\frac{400}{100}\right) \%=-36 \% \quad 36 \%$ decrease
$\therefore$ Difference of discounts $=x(36-35) \%=22$
$x \times \frac{1}{100}=22$
$x=Rs. 2200$
Standard 13
Quantitative Aptitude