Question : A shopkeeper is allowed a 20% discount on his Advertised price and makes a profit of 25% on his outlay. What is the advertised price (in Rs.) on which he gains Rs. 6000?
Option 1: 36,000
Option 2: 37,500
Option 3: 39,000
Option 4: 42,500
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Correct Answer: 37,500
Solution :
Given: A shopkeeper is allowed a 20% discount on his advertised price and makes a profit of 25% on his outlay.
Let the cost price be 100 units.
Selling price = $100×\frac{125}{100}=125$ units (since profit if 25%)
Profit = (125 – 100) = 25 units
Marked price $=125×\frac{5}{4}=\frac{625}{4}$ units (Since discount is 20%)
Here 25 units = Rs. 6000 (Given that the profit is Rs 6,000)
⇒ 1 unit = $\frac{6000}{25}$
⇒ $\frac{625}{4}$ units = $\frac{6000}{25}×\frac{625}{4}$ = Rs. 37,500
Hence, the correct answer is 37,500.
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