Question

a man sold two cycles 6000 each gaining 20% on the and their lossing 20% find the gain or loss percent percentage on whole transaction

Answer 1

selling price of 1st cycle = 6000
profit = 20%
cost Price = 100/100+20 *6000
=100/120*6000
=5000
selling price of 2nd cycle = 6000
loss = 20%
cost price = 100/100-20*6000
=100/80*6000
=750
selling price of two cycles =6000+6000
=12000
cost price of two cycles = 5000+750
= 5750
therefore sp > cp
profit = sp - cp
= 12000 - 5750
=6250
profit % = profit /cp *100
= 6250/5750 *100
= 16and 18/23%

Answer 2

Answer:

He loses $500.

Concept:

Make Sure You Do Not Only Use Selling Price To Calculate The Profit.

Explanation:

Basic Formula: F1. Selling Price - Cost Price = Profit

                     F2: ( profit or loss ) / Cost Price = Profit Percent or Loss Percent

Step 1: Find The Selling Price of each cycle.

Selling Price Of The First Cycle:  

  100 / ( 100 + 20 ) x 6000 <--- Finding Cost Price Of The First Cycle

= ( 100 / 120 ) x 6000

= $5000 <---- This Is The Cost Price Of The First Cycle

Selling Price Of The Second Cycle:

  100 / ( 100 - 20 ) x 6000 <---- Finding Cost Price Of The First Cycle

= ( 100 / 80 ) x 6000

= $7500 <--- This Is The Cost Price Of The Second Cycle

Step 2: Calculate Their Difference. Hence, you can get the answer.

F1: Selling Price - Cost Price = Profit

Answer: ( $6000 - $5000 ) + ( $6000 - $7500 )

             = $1000 + (-$1500)

             = -$500

Step 3: Make A Conclusion

This Man Loses $500 on the whole transaction.

I Hope This Can Solve You Question. :)

(For Reference Only)