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Question

A dealer sold a VCR and a TV for Rs.38560 making profit of 12% on VCR and 15% on TV. By selling them for Rs.38620, he would have realised a profit of 15% on VCR and 12% on TV. Find the cost price of each

A
CP of VCR =Rs.15000 and CP of TV =Rs.17000
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B
CP of VCR =Rs.21000 and CP of TV =Rs.32000
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C
CP of VCR =Rs.18000 and CP of TV =Rs.16000
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D
CP of VCR =Rs.12000 and CP of TV =Rs.15000
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Solution

The correct option is D CP of VCR =Rs.18000 and CP of TV =Rs.16000
Let CP of VCR be Rs.x and C.P of TV be Rs.y
According to problem
112100x+115100y=38560.......(i)
and 115100x+112100y=38620.......(ii)
Solving equation (i) and (ii) x=Rs.18000 and y=Rs.16000. So, CP of VCR =Rs.18000 and CP of TV =Rs.16000

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