shyam sold is motor cycle to ravi at loss=28% ravi spent rs 1680 on its repairs and sold the motor cycle to hitesh for rs 35910 thereby making a profit of 12.5%.find the C.P of the motorcycle
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Let the cost price of motorcycle for shyam be x.
Shyam sold the motorcycle to Ravi at a loss of 28%.
Hence, SP1 = x - 28% of x = x - .28 = 0.72x
Now Ravi spend 1680 on its repair.
Hence, CP1 = (0.72x + 1680)..because SP of shyam is CP for Ravi).
Now, Ravi sold the motorcycle to Hitesh for 35910 and makes a profit of 12.5%.
Hence, (0.72x + 1680) + 12.5/100 (0.72x+1680) = 35910
=> 0.72x + 1680 +0.09x + 210 = 35910
=> 0.81x = 35910 – 1680 – 210
=> x = 34020/.81 = 42000
So, the cost price of the motor cycle for Shyam is 42000
I hope it helps you...
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