Question

Ravish sold his motorcycle to Vineet at a loss of 28% . Vineet spent

₹1680 on its repairs and sold the motorcycle to Rahul for ₹35910,

there by making a profit of 12.5% , find the cost price of motorcycle

for Ravish

Answer 1

Let CP of ravish motorcycle = Rs x
SP of ravish motorcycle = (72/100) x = 0.72 x [There is a loss of 28%]
CP of vineet motorcycle including the cost of repairs = (0.72x + 1680)
SP of vineet 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.