Question : The difference between a discount of 35% and two successive discounts of 20% on a certain bill was Rs. 22. The amount of the bill was:
Option 1: 200
Option 2: 220
Option 3: 1100
Option 4: 2200
Correct Answer: 2200
Solution :
Let the amount of the bill be Rs. $x$.
The single discount of two successive discounts, where $a$ = 20% and $b$ = 20%:
$=(a+b-\frac{a×b}{100}$)%
$=20+20-\frac{20\times 20}{100}$
$= 40 -4$
$= 36\%$
As per given conditions,
36% of $x$ – 35% of $x$ = 22
⇒ 1% of $x$ = 22
⇒ $\frac{x}{100}$ = 22
$\therefore x$ = 2200
Hence, the correct answer is 2200.
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