Choose the correct answer from the alternatives given : Ann, Bill and Ken shared some stamps in the ratio 2 : 3 : 4. After a game the ratio became 5 : 2 : 2. If Ann won 21 stamps how many did Ken lose?
A
28
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B
21
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C
7
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D
14
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Solution
The correct option is D 14 LetnumberofticketsofAnn=2x Bill=3x Ken=4x Ratioofticketafteragame: Ann=5x Bill=2x Ken=2x TicketswonbyAnn=5x−2x=3x TicketslossbyBill=2x−3x=−1x TicketslossbyKen=2x−4x=−2x Number of ticket won by Ann =21 which is 7 times the ratio Similarly number of tickets loss by Kenn=-2×7=14