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Question
A single discount of 50% on an article costing Rs. 10000 is better than two successive discounts of 40% and 10% by = ?
Options:
A .  Rs. 400
B .  Rs. 1000
C .  Rs. 500
D .  Rs. 600
Answer: Option A
$$\eqalign{
& {\text{Single discount = 50}}\% \cr
& {\text{Two successive discount}} \cr
& {\text{ = 40}} + {\text{10}} - \frac{{40 \times 10}}{{100}} \cr
& = 50 - 4 \cr
& = 46 \cr
& {\text{Difference}} \cr
& = 50 - 46 \cr
& = 4\% \cr
& {\text{Difference amount }} \cr
& {\text{ = 4}}\% {\text{ of 10000}} \cr
& {\text{ = }}\frac{4}{{100}} \times 10000 \cr
& {\text{ = Rs}}{\text{. 400}} \cr} $$

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