Question

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 Rs. 100 and selling price being the same in both the cases?

Answer 1

Answer:

1200. IND.

Step-by-step explanation:

let s.p be = 100%

profit of 2nd given = 25% on s.p

so then c.p =100% - 25% of 100% = 75%

actual profit of 2nd

= 25/75*100 = 100/3%

100/3 % - 25% = 100

25% = 300 => 1% = 12

100% = 1200 (selling price)

Answer 2

The selling price of  goods=Rs 4000

Step-by-step explanation:

Let S.P of each good=x and C.P of one good=y

Profit of each=25%

Profit of another salesman which calculate profit on S.P=25% of x=$\frac{25}{100}x=\frac{1}{4}x$

C.P=S.P-Profit

C.P of good=$x-\frac{1}{4}x=\frac{4x-x}{4}=\frac{3}{4}x$

Profit of salesman which calculate profit on C.P=$\frac{25}{100}y=\frac{1}{4}y$

S.P=C.P+profit

Profit=$S.P-C.P=x-y$

$\frac{1}{4}y=x-y$

According to question

$\frac{x}{4}-\frac{y}{4}=100$

$\frac{x-y}{4}=100$

$x-y=4\times 100=400$

$400=\frac{1}{4}y$

$y=400\times 4=1600$

Substitute the values then we get

$x-1600=400$

$x=400+1600=2000$

The selling price of goods=2000+2000=Rs4000

Hence, the selling price of good=Rs 4000

#Learns more:

https://brainly.in/question/12118101