Question : The marked price of an article is INR 50,000. Of three shopkeepers, the first one allows two successive discounts of 25% and 15%. The second one allows two successive discounts of 20% and 20%. The third shopkeeper allows two successive discounts of 30% and 10%. From which shopkeeper does the customer get more profit?
Option 1: First
Option 2: Same for all the shopkeepers.
Option 3: Third
Option 4: Second
Correct Answer: Third
Solution :
After two successive discounts of 25% and 15%, the selling price is $\frac{50000×75×85}
{100×100}=31875$
$\therefore$ Profit = (50000 – 31875) = INR 18125
After two successive discounts of 20% and 20%, the selling price is $\frac{50000×80×80}
{100×100}=32000$
$\therefore$ Profit = (50000 – 32000) = INR 18000
After two successive discounts of 30% and 10%, the selling price is $\frac{50000×70×90}
{100×100}=31500$
$\therefore$ Profit = (50000 – 31500) = INR 18500
So, the third shopkeeper gives the most discount.
Hence, the correct answer is "Third".
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