Question

Ravish sold his motorcycle to Vineet at a loss of 28%. Vineet spent Rs. 1680 on its repairs and sold the motorcycle to Rahul for Rs.35910, thereby making a profit of 12.5%, find the cost price of motorcycle for Ravish.

Answer 1

Sol:
Let CP of Ravish = Rs x
SP of Ravish = (72/100) x = 0.72 x [There is a loss of 28%]
CP of Vineet including the cost of repairs = (0.72x + 1680)
SP of Vineet = 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
Therefore, cost price of Raveesh is Rs 42,000.