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Question 71
A dealer allows his customers a discount of 25% and still gains 25%. If an article costs ₹1600 to the dealer, then its marked price (nearest to one rupee) is:
Solution
Let the Marked Price be Rs.100x
Discount = 25% of Rs.100x = Rs.25x
Selling Price = Rs.100x - Rs.25x = Rs.75x
Profit = 25%
Then, Cost Price = $$75x \times \dfrac{100}{125} = Rs.60x$$
Given, 60x = Rs.1600 => x = 26.666
Therefore, Marked Price = Rs.100x = Rs.100$$\times$$26.67 = Rs.2667
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