Question

A bookseller buys a dictionary for 158 and sells it
at 181.70. He also sells a set of encyclopaedias for
2827.20 which he had bought for 2480. In which
sale was his profit percentage higher and by how
much?​

Answer 1

Question:-

⠀⠀ ⠀⠀

A bookseller buys a dictionary for 158 and sells it at 181.70. He also sells a set of encyclopaedias for 2827.20 which he had bought for 2480. In which sale was his profit percentage higher and by how much?

⠀⠀ ⠀⠀

Solution:-

⠀⠀ ⠀⠀

Given:

⠀⠀ ⠀⠀

▪︎S.P of Dictionary = Rs. 181.70

▪︎C.P. of Dictionary = Rs. 158.00

▪︎S.P. of encyclopedia = Rs. 2827.20

▪︎C.P. of encyclopedia = Rs. 2480.00

⠀⠀ ⠀⠀

To Find:

⠀⠀ ⠀⠀

▪︎Profit of Dictionary = ???

▪︎Profit of encyclopedia = ???

▪︎Whose profit% is greater ?

⠀⠀ ⠀⠀

Answer:

⠀⠀ ⠀⠀

Profit on encyclopedia = S.P.-C.P.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀=2827.20-2480

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀=Rs.347.20

⠀⠀⠀⠀⠀⠀⠀⠀Profit % =$(\frac{347.20}{2480}×100)%$

⠀⠀⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ =14%

⠀⠀

Profit on Dictionary =S.P.-C.P.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀=181.70-158

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀=Rs.23.7

⠀⠀⠀⠀⠀⠀Profit %=$(\frac{23.7}{170}×100)%$

⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ =15%

⠀⠀

Hence, profit of Dictionary is greater than profit of encyclopedia by 1%.

⠀⠀ ⠀⠀

Formulas:-

▪︎Profit=S.P.-C.P.

▪︎Loss=C.P.-S.P.

▪︎Profit%=$(\frac{Profit}{C.P.}×100)%$

▪︎Loss%=$(\frac{Loss}{C.P.}×100)%$

▪︎When S.P. < C.P. ;Then Loss.

▪︎When S.P. > C.P. ;Then Profit.