A man sells an articles at a profit of 25% if he had bought it 20% less and sold for Rs10.50 less, he would have gained 30% find the cost price of the article.
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Let cost price be xrs
Profit=x/4
Selling price =x+x/4
=5x/4
Now if cp is 20% less=x-x(20%)
=4x/5
Sp will be=5x/4-10.50
Gain=30%of 4x/5
=6x/25=cp-sp
6x/25=4x/5-5x/4+10.50
6x/25=(16x-25x)/20+10.50
6x/25+9x/20=10.50
(24x+36x)/100=10.50
70x=1050
x=15
Hence cp is rs 15
Profit=x/4
Selling price =x+x/4
=5x/4
Now if cp is 20% less=x-x(20%)
=4x/5
Sp will be=5x/4-10.50
Gain=30%of 4x/5
=6x/25=cp-sp
6x/25=4x/5-5x/4+10.50
6x/25=(16x-25x)/20+10.50
6x/25+9x/20=10.50
(24x+36x)/100=10.50
70x=1050
x=15
Hence cp is rs 15
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