Question

Nandan sells a quintal of wheat for Rs.308 gaining 12% thereby. By selling a quintal of rice for the same
amount, he loses 12%. Find the amount of gain or loss.​

Answer 1

Answer:

In case of profit, the equation is:

308 = 1.12 CP1 EQ 1

For loss, the equation is:

308 = 0.88 CP2 EQ 2

Formula used for eq1 and 2

Profit % =[ ( SP- CP) ÷ CP] × 100

Loss % = [ (CP-SP) × CP] × 100

Total loss percent =

[(CP1+CP2-1.12CP1-0.88CP2)/(CP1+CP2)] *100

=( CP2-CP1)/(CP1+CP2) *12. EQ3

FROM 1,2 and 3 applying componendo and dividendo formula,

The total loss percent =

(1.12-0.88)/(1.12+0.88) ×12

= 1.44 %

Please check the answer

yourself as well