Gaurav sold his motorcycle to Vikas at a
loss of 28%. Vikas spent $ 1680 on its
repairs and sold the motorcycle to
Abhimanyu for $
35910, thery by
making a profit of 12.5% Find
the cost price of the motorcycle for
Gaurav
Answers
Step-by-step explanation:
Let C.P of motorcyle be Rs. X
S.P of gaurav =
= x - 28% of x
= x - 28x/100
= 72x/100
C . P of Vikas = 72x/100
Repair = 1680
S. P of Vikas= Rs. 35910
C. P of Abhimanyu = 35910
Gain = 12.5%
S.P for Abhimanyu = 100/112.5 × 35910
= Rs. 31920
So to get the actual S. P for Gaurav, the CP for Vikas needs to be subtracted from repair.
SP for gaurav = Rs 31920 - 1680
= Rs 30240
CP for gaurav = 100/72 × 30240
= Rs. 42000 ( Ans )
Answer:
42000
Step-by-step explanation:
Let cost price of the motorcycle for Gaurav = x.
Gaurav sold his motorcycle to Vikas at a loss of 28%.
Gaurav Selling price = 72x/100 = 0.72x.
Vikas spent $ 1680 on its repairs and sold the motorcycle.
Cost price of vikas motorcycle = 0.72x + 1680.
He sold the motorcycle to Abhimanyu for $ 35910.
=> 12.5 = 35910 - (0.72x + 1680)/0.72x + 1680 * 100
=> (34230 - 0.72x) * 100 = 12.5 * (0.72x + 1680)
=> 3423000 - 72x = 9x + 21000
=> 3402000 = 81x
=> x = 42000
Hence, Cost price of motorcycle for Gaurav = 42000
#Hope my answer helped you