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By increasing the price of entry ticket to a fair in the ratio 3 : 5, the number of visitors to the fair has decreased in the ratio 7 : 2. In what ratio has the total collection increased or decreased?1). Increased in the ratio 10 : 212). Increased in the ratio 6 : 353). Decreased in the ratio 21 : 104). Decreased in the ratio 35 : 6 |
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Answer» Let the price of the TICKET be y And the number of visitors be z Then if price of ticket is INCREASED in RATIO 3 : 5 the visitors DECREASED in ratio 7 : 2 i.e. when ticket price = 3y/8 then number of visitors = 7z/9 So total collection before = (3y/8) × (7z/9) = 7yz/24 Now after increasing price tickets Ticket price = 5y/8 ⇒ Number of visitors = 2z/9 ⇒ Total collection after = (5y/8) × (2z/9) = 5yz/36 So, it is clear that the collection after has decreased. Ratio = (7yz/24) : (5yz/36) = 21 : 10 So the total collection has decreased by the ratio 21 : 10 |
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