 ## Find the selling price of goods if two salesmen claim to make 25% profit each, one calculating it on cost price while another on the selling price, the difference in the profits earned being 100 rupees and selling price being the same in both the cases.

A. Rs 2500 B. Rs 3000 C. Rs 2000 D. Rs 1500 Answer: Option C

### Solution(By Apex Team)

Let cp = y and sp = x………….(1) case 1 (profit on cp): profit = sp – cp 0.25y = x – y sp = x = 1.25y……..(2) profit = sp – cp = 1.25y – y = y/4 As we know selling price being the same in both the cases so from (1) and (2). x = 1.25y ⇒ y= 0.8 x………(3) case 2 (profit on sp): profit = sp – cp cp = sp – profit x – 0.25x = y cp = y = 0.75 x profit= sp – cp = x – 0.75x = x/4 now x/4 – y/4 = 100(as given in the question) put value of y from (3) 0.25x – 0.8x/4 =100 0.25 x – 0.2 x = 100 x = 2000 Hence the selling price of goods if two salesmen claim to make 25% profit each is Rs 2000.

## Related Questions on Profit and Loss

A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51

A. Rs. 2600
B. Rs. 2700
C. Rs. 2800
D. Rs. 3000

### A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:

A. A neither losses nor gains
B. A makes a profit of 11%
C. A makes a profit of 20%
D. B loses 20%