Question

A man sells his goods at 25% profit had he purchase at 900 less and sold it for 900 less thrn he would gain 5% more profit find initia cp??

Answer 1

Answer:

Initial Cost Price = 5400

Step-by-step explanation:

A man sells his goods at 25% profit had he purchase at 900 less and sold it for 900 less thrn he would gain 5% more

Let say initial cost Price = C

Profit = 25 %

Profit = (25/100) * C = C/4

Selling Price = C + C/4  = 5C/4

had he purchase at 900 less

=> Cost Price = C - 900

sold it for 900 less

=> Selling Price = 5C/4   - 900

Gain = 5 % more profit = 25 + 5 = 30 % profit

Gain = (30/100)(C-900)  =  3C/10  - 270

C - 900 + 3C/10  - 270  = 5C/4   - 900

=> C + 3C/10  - 5C/4  = 270

multiplying by 20 both side

=> 20C + 6C  - 25C =  5400

=> C = 5400

Initial Cost Price = 5400