Question : A shopkeeper increases the price of an object by 40% and then sells it at a 25% discount on the marked price. If the selling price of such an object is Rs. 2100, its cost price for the shopkeeper is:
Option 1: Rs. 3,000
Option 2: Rs. 1,500
Option 3: Rs. 1,750
Option 4: Rs. 2,000
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Correct Answer: Rs. 2,000
Solution : Here, Selling price of an object = Rs. 2,100 Here, $a$ = 40%, $b$ = –25% Effective percentage change = $a+b+\frac{ab}{100}$% = $40 − 25 −\frac{40\times 25}{100}$% = $(15 - 10)$ = 5% According to the question, Let the cost price of the article be Rs. $y$. So, $y \times \frac{105}{100} = 2100$ ⇒ $y$ = $\frac{2100 \times 100}{105}$ = Rs. 2,000 Hence, the correct answer is Rs. 2,000.
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