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Article X: CP:MP = 8:15. Profit% is 80% more than discount%. 600 units sold, revenue = ₹75,000. Article Y: CP = 70% of MP. Profit:Discount = 2:1. 700 units sold, revenue = ₹1,26,000. Find ratio of SP of each X article to CP of each Y article.

1. 15:22
2. 21:26
3. 25:28
4. 27:31

Correct answer: 25:28

Solution

SP_X=75000/600=125. CP_X=8k,MP_X=15k. Profit%=1.8d. Solving profit equation with SP=125: k=10.9375, CP_X=87.5. SP_Y=126000/700=180. Y: CP=0.7MP, profit=2m,discount=m. 0.3MP-m=2m → MP=10m. SP=9m=180 → m=20, MP=200, CP=140. Ratio=125:140=25:28.

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