A person sells a watch at a profit of 26%. If he had bought it at 20% less and sold for Rs. 81.60 less, he would have gained 32%. What is the original costprice (in Rs) of the watch?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 400.
Given:
Profit = 26%
New selling Price = Rs. 81.60
New Profit = 32%
Selling price = (cost price)/100 × (100 + profit%)
Let the Cost price be x.
Selling Price = 1.26x
New Cost Price = 0.8x
New Selling Price = 1.26x - 81.60
ATQ -
1.26x - 81.60 = (0.8x)/100 × (100 + 32)
x = 81.60/0.204
x = 400
The original cost price of the watch = Rs. 400