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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


Team Careers360 7th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

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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