Question : Lakshita purchased a sofa set at a discount of 25%. As per her calculations, she noticed that if she had not been given this discount, she would have paid INR 22,400 more as the cost of this sofa set. How much did Lakshita pay for the sofa set?
Option 1: INR 22,400
Option 2: INR 33,600
Option 3: INR 67,200
Option 4: INR 67,000
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Correct Answer: INR 67,200
Solution :
Let the marked price be $x$.
Selling price after 25% discount = $x$ – 25% of $x$ = $\frac{3x}{4}$
According to the question,
$x-\frac{3x}{4}$ = 22400
⇒ $\frac{x}{4}$ = 22400
⇒ $x$ = 89,600
Now, the price paid by Lakshita = $\frac{3x}{4}=\frac{3}{4}×89600$ = INR 67,200
Hence, the correct answer is INR 67,200.
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