Question 101

A plate was sold for Rs.6,300 after giving two successive discounts of $$12\frac{1}{2}$$ % and 10%. Find the marked price.

Solution

Let M.P. = $$100x$$

First discount of 12.5% => $$\frac{12.5}{100} * 100x = 12.5x$$

=> Amount after first discount = $$100x-12.5x = 87.5x$$

Second discount of 10% => $$\frac{10}{100} * 87.5x = 8.75x$$

=> Amount after second discount = $$87.5x-8.75x = 78.75x$$

Now, S.P. = $$78.75x$$ = 6300

=> $$x$$ = 80

=> M.P. = 80*100 = 8000

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