Question : The difference between a discount of 40% and two successive discounts of 30% on a certain bill was Rs. 220. Find the amount of the bill (in Rs.).
Option 1: 2,200
Option 2: 1,100
Option 3: 1,000
Option 4: 2,000
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Correct Answer: 2,000
Solution :
Let the amount of the bill be $x$.
When giving two successive discounts of 30% and 30%, the bill amount $=\frac{x×70×70}
{100×100}=\frac{49x}{100}$
When giving flat discount of 40%, the bill amount $=\frac{60x}
{100}$
Difference between selling prices = Difference in the discounts
According to the question,
$\frac{60x}{100}-\frac{49x}{100}=220$
⇒ $\frac{60x-49x}{100}=220$
⇒ $11x=220×100$
$\therefore x=2000$
So, the amount of the bill = Rs. 2,000
Hence, the correct answer is 2,000.
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