## Percentage play

Alphonse bought two bicycles. He sold one to Bettany for 300 pounds making a loss of 25%, and one to Gemma also for 300 pounds making a profit of 25%. Overall, did he break even? If not, did he make a profit or loss, and by how much?

More later,

Nalin Pithwa

### 4 Comments

1. Pradeep Selva
Posted October 13, 2015 at 10:23 am | Permalink | Reply

NO. Alphonse did not make any profit because she sold both at the same rate.Therefore 25% of 300 will be 75 in both cases(it will be the same).Therefore she sold one at a 25% loss to Bettany(Rs.75) and other to Gemma at 25% profit( Rs.75). Therefore he gained rupees 75 with gemma but lost the same with bettany. Hence he only got back his cost price.HE DID NOT MAKE ANY PROFIT.

• Posted October 14, 2015 at 7:55 am | Permalink | Reply

Sorry. Wrong answer. The loss percent and profit percent is calculated with respect to CP

2. Anubhav C. Singh
Posted October 14, 2015 at 1:57 pm | Permalink | Reply

Alphonse’s Cost Price for Bettany’s transaction will be 100*300/(100-25)=400 while for Gemma’s transaction it will be 100*300/(100+25)=240.
Therefore total CP=Rs.640 while total SP=Rs.600; therefore a loss of Rs. 40 is incurred.
And for the record, that is a 6.25% Loss.

• Anubhav C. Singh
Posted October 14, 2015 at 1:58 pm | Permalink | Reply

Sorry I had to repost that. Apparently it wasn’t sent the first time around.

This site uses Akismet to reduce spam. Learn how your comment data is processed.