4%of the selling price of an article is equal to 5% of its cost price. Again 20% of the selling price is Rs.120 more than 22%ofits cost price. The ratio of cost price & selling price is
let Selling price be SP , Cost price be CP 4% of SP = 5% CP SP = (5/100)×(100/4) CP = 5/4 CP SP = 5/4 CP ---------> using this in the below equation 20% of SP = 120 + 22% of CP (20/100)×(5/4) CP = 120 +22% CP 1/4 CP = 120 +22/100 CP 1/4 CP – 22/100 CP = 120 3/100 CP = 120 CP = 4000 SP = 5/4 × 4000 = 5000 CP :SP = 4000:5000 = 4:5
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