if two third part of an article is sold at 30% profit,one Fourth part at 16% profit and remaining part at 12% profit and finally, there is a profit of Rs75, then find the cost price of the article.
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Let the article CP = x
2/3 of x sold at a profit of = 30% = 2/3 * 30% 20%
1/4 of x sold at a profit of = 16%. = 1/4 * 16% = 4%
Part remaining = 1 - 2/3 - 1/4 = 1/12
Remaining 1/12 of x sold at a profit of = 12% 1/12 * 12% = 1%
Total profit = Rs 75
So, CP = 75/(20+4+1) = 75/25% = 75 / (25*100) = 7500/25 = 300
Hence CP of the article is Rs. 300.
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