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ICSE Class 8 Answered

A dealer purchases two old scooter for ₹24000. He sold one at a profit of 6% and the other at a loss of 12% the dealer gained nothing on his outlay .find the C.POF each scooter    
Asked by milanjaiswal579 | 31 Jul, 2021, 01:28: PM
answered-by-expert Expert Answer
Let CP of first scooter = x
SP of first scooter = x + 6%of x = x + 0.06x = 1.06x
CP of second scooter = 24000 - x

SP of second scooter = (24000 - x) - 12% of (24000 - x)
                               = 24000 - x - 2880 + 0.12x
                               = 21120 - 0.88x

SP of both scooters = CP of both scooters
1.06x + 21120 - 0.88x = 24000
0.18x = 2880
x = 16000

So CP of scooters is 16000 and 8000
Answered by Arun | 02 Aug, 2021, 09:19: AM

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