Question

A book seller sold two books for rs 178 each. On one he gains 14% while on the other he losses 14%. His gain or loss in the whole transaction is

Answer 1

Answer:

Step-by-step explanation:

Let the cost of the first book be X.

x-14%of x=178

x-14x/100=178

100x/100 -14x/100=178

86x/100=178

178 × 100/86=X(pls solve the equation yourself)

Let the cost of second book which earned profit be y

y+14%of y=178

114y/100=178

y=178 ×100/114(plz solve the equation yourself)

Answer 2

Solution:
Given that the seller sold the books at the same i.e., @ ₹178

Since, gain% on 1st book is 14%
Therefore, gain = 178 - {178 / (1+ 14/100)}
= 178 - {178 / (1+ 0.14)}
= 178 - (178 / 1.14)
= 178 - 156.15
= ₹21.85

Also, since loss% on 2nd book is 14%.
Therefore, loss = {178 / (1- 14/100)} - 178
= {178 / (1- 0.14)} - 178
= (178/0.86) - 178
= 206.97 - 178
= ₹28.97


Therefore, Loss in whole transaction
= 28.97 - 21.85
= ₹7.12

Hence, loss in whole transaction is ₹7.12/-