Question 70

A person sells a watch at a profit of 26%. If he had bought it at 20% less and sold for ₹81.60 less, he would have gained 32%. What is the original costprice (in ₹) of the watch?

Solution

Let the cost price =x
then selling price=1.26x
Given that if he purchased for 20% less then cost price will be 0.8x
Selling price is 81.6 less and so new selling price=1.26x-81.6
given profit percent=32 
Therefore 1.32(0.8x)=1.26x-81.6
1.056x=1.26x-81.6
0.204x=81.6
x=81.6/0.204
x=400


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