Ram Kumar sold his motor cycle to Mohan at a loss of 28%.

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Ram Kumar sold his motor cycle to Mohan at a loss of 28%. Mohan spent $ 1680 on its repairs and sold the motor cycle to Sohan for $ . 35910, thereby, making a profit of 12.5%. Find the cost of the motor cycle for Ram Kumar.

Let CP of motor cycle for Ram Kumar be x

SP for Ram Kumar = x -		28	x =	72	x
		100		100

∴ Cost for Mohan =	72	x
	100

Cost of repairing = $ 1680

∴ Total CP for Mohan = $	72	x + 1680
	100

Profit earned by Mohan = 12.5%
SP for Mohan = CP + Profit

SP for Mohan =	72	x + 1680 +	12.5		72	x + 1680
	100		100		100

⇒	72x	+ 1680 = 31920
	100

⇒ x =	30240 × 100	= $ 42000
	72

So, the cost price of the motor cycle for Ram Kumar = $ 42,000