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Question

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=5x2x=3x
TicketslossbyBill=2x3x=1x
TicketslossbyKen=2x4x=2x
Number of ticket won by Ann =21
which is 7 times the ratio
Similarly number of tickets loss by Kenn=-2×7=14

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