Selling an article at a profit of 20%, Aman gets Rs. 400 more than selling at a loss of 20%. The cost price of the article is ?
A) Rs.1000 B) Rs. 1020 C) Rs.1210 D) Rs.1140
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Answer:
(A) Rs.1000
Step-by-step explanation:
Given that,
Selling an article at a profit of 20%, Aman gets Rs. 400 more than selling at a loss of 20%
Hence the equation is,
[x + 20/100 * x] + 400 = [x - 20/100 * x]
where, x is equal to the cost price of the article
[ x + 1/5 * x ] + 400 = [x - 1/5 x]
[6/5 * x] + 400 = [4/5 * x ]
400 = [4/5 * x] - [ 6/5 * x]
400 = - [ 2/5 * x]
200 = - [ 1/5 * x]
x = 1000
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