Question

Dinesh sold his motorcycle to Naveen at a loss of 28% Naveen spent 1680 on its repairs and sold the motorcycle to Saran for 35910 making a profit of 12.5% find the cost of the motorcycle for Dinesh

Answer 1

Let CP of dinesh motorcyvle = Rs x
SP of dinesh motorcycle = (72/100) x = 0.72 x [There is a loss of 28%]
CP of saran motorcycle including the cost of repairs = (0.72x + 1680)
SP of saran motor = Rs 35910
Profit Percentage = 12.5%

[(35910) - (0.72x + 1680)] x 100 / (0.72x + 1680) = 12.5

⇒ (3423 - 0.72x) / (0.72x + 1680) = (125 / 100)
⇒ 3423000 - 72x = 9x + 21000
⇒ 3423000 - 21000 = 9x + 72x
⇒ 3402000 = 81x
⇒ x = 42000...
hope this will help.

Answer 2

Let CP of dinesh motorcyvle = Rs x

SP of dinesh motorcycle = (72/100) x = 0.72 x [There is a loss of 28%]

CP of saran motorcycle including the cost of repairs = (0.72x + 1680)

SP of saran motor = Rs 35910

Profit Percentage = 12.5%

[(35910) - (0.72x + 1680)] x 100 / (0.72x + 1680) = 12.5

⇒ (3423 - 0.72x) / (0.72x + 1680) = (125 / 100)

⇒ 3423000 - 72x = 9x + 21000

⇒ 3423000 - 21000 = 9x + 72x

⇒ 3402000 = 81x

⇒ x = 42000...

hope this will help.

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