Question : A single discount of 50% on an article costing Rs.10000 is better than two successive discounts of 40% and 10% by:
Option 1: Rs. 400
Option 2: Rs. 1000
Option 3: Rs. 500
Option 4: Rs. 600
Correct Answer: Rs. 400
Solution :
Single discount = 50%
Single discount for the two successive discounts of 40% and 10%
= (40 + 10 – $\frac{40×10}{100}$)%
= (50 – 4)%
= 46%
The difference in discount percentage = 50% – 46% = 4%
$\therefore$ Required difference = 4% of Rs. 10000 = Rs. 400
Hence, the correct answer is Rs. 400.
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