Question

a man bought
bought an article for 25 and sold
for 40. Another man bought an article for 50 and sold
it for 65. What rate of profit is greater and by what per cent?
​

Answer 1

Answer:-

★ Given:

• A man bought an article for Rs. 25

• He sold it for Rs. 40

• Another man bought an article for Rs. 50

• He sold it for Rs. 65

★ To Find:

• Whose Profit is greater?

★ Solution:

Let the first one man be A

The another man be B

➢ Finding Profit of A

Profit of A

= S.P. - C.P.

= 40 - 25

= Rs.15

∴ Profit of A is Rs. 15

➢ Finding Profit % of A

Profit % of A

= (Profit / C.P.) × 100

= (15 / 40) × 100

= (3/8) × 100

= 300 ÷ 8

= 37.5 %

∴ Profit of A = 37 . 5 %

➢ Finding Profit of B

Profit of B

= S.P. - C.P.

= 65 - 50

= Rs. 15

∴ Profit of B = Rs.15

➢ Finding Profit% of B

Profit % of B

= (Profit / C.P.) × 100

= (15/50) × 100

= (3/10) × 100

= 300 ÷ 10

= 30 %

∴ Profit % of B = 30 %

➢ Finding whose Profit is greater

Here,

37 . 5 % is greater than 30 %

Hence,

Profit % of A is greater than Profit % of B

by (37 . 5 % - 30%) = 7.5 %

Profit % of man who bought article for Rs.25 is greater than the another man who bought the article for Rs.50 by 7.5 %.

Formula to be remembered:-

▪︎If S.P. > C.P. then Profit

▪︎If C.P. - S.P. then loss

▪︎Profit = S.P. - C.P.

▪︎Loss = C.P. - S.P.

▪︎Profit % = (Profit / C.P.) × 100

▪︎Loss % = (Loss / C.P.) × 100