Question

A man sells 8 articles for Rs. 7360 and makes a profit of

15%. Find the gain or loss percent if he sells 13 such
articles for Rs. 11440.
(Ans: 10% gain)​

Answer 1

SP of 8 articles =Rs 7360

Profit=15%

Now,

SP of each article =7360/8= Rs920

Wkt,

SP=CP+profit (let CP=x)

920=x+15%of CP

920=x+15÷100× x

920=x+15x÷100

920=(100x+15x)÷100

920=115x÷100

92000=115x

92000÷115=x

Therefore, x=Rs 800

CP=800(i.e Cost price of one article)

Again,

SP of 13 articles=Rs 11440

SP of 1 article=11440÷13=Rs 880

Since,SP>CP

Profit!

Profit=SP-CP

=880-800

=Rs 80

Profit%=profit÷CP×100%

=80÷800×100

=10%