If I sell a hat I incure a loss of 80paise per transaction but of I sell a cap I - Maths - Integers

Question

If I sell a hat I incure a loss of 80paise per transaction but of I
sell a cap I earn a profit of Rs 2 per transaction If I sell only
caps and hata then: 1) yesterdday I booked a loss of Rs 8 If I sold
40 caps , how many hats did I sell yesterday

Vijay Kumar Gupta · Accepted Answer

Suppose the number of hats which were sold on yesterday be xThe number of caps sold are 40
The loss on selling hat is 80 paise per transaction and the profit on selling cap isRs 2 per transaction
So the total loss incurred on selling x hats is,      80x paise=Rs 80x100Also the total profit on selling 40 caps is,     Rs 2×40=Rs 80It is given that he booked a loss of Rs 8This implies that     80x100-80=8             80x100=8+80             80x100=88Multiply both sides by 100         80x=88×100Divide both sides by 80 to get,     x=88×10080       =11×10       =110Thus  a total of 110 hats were sold yesterday

If I sell a hat I incure a loss of 80paise per transaction but of I sell a cap I earn a profit of Rs.2 per transaction. If I sell only caps and hata then: 1) yesterdday I booked a loss of Rs. 8. If I sold 40 caps , how many hats did I sell yesterday