Question : The cost price of an article is INR 800. After allowing a discount of 10%, a gain of 12.5% was made. The marked price of the article is:
Option 1: INR 1,300
Option 2: INR 1,200
Option 3: INR 1,000
Option 4: 1,1000
Correct Answer: INR 1,000
Solution :
Let's assume the marked price is INR $x$.
Discount = 10% of $x$ = 0.1$x$
So, the selling price after the 10% discount = $x - 0.1x = 0.9x$
Gain = 12.5% of the cost price = $\frac{12.5}{100}\times 800 = 0.125 \times800$ = INR 100
Selling Price = Cost Price + Gain = 800 + 100 = INR 900
Now, we know that the selling price after the 10% discount is also INR 900.
So, 0.9$x$ = 900
⇒ $x$ = 1000
Hence, the correct answer is INR 1,000.
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