powellmittra wrote:

chetan2u wrote:

Vyshak wrote:

Total number of apples = 280

Let the cost price be x

Selling price at 20% profit = 1.2x

Selling price at 30% profit = 1.3x

Profit % = ((SP - CP)/CP)*100

Profit % = ((2/5)*280*1.2x + (3/5)*280*1.3x - 280x)/280x * 100 = (1/5*(2.4 + 3.9) - 1)*100

= (6.3 - 5)*20 = 26%

Answer: C

ngie is absolutely correct, I had written 280 just to ensure that you spend some time on it..

Always be careful on what is required..

This Q if done by weighted average method

20% profit on 40% items or \(\frac{4}{10}\) items

30% profit on 60% items.. or \(\frac{6}{10}\) items

so average =\(20 + \frac{6}{10}*(30-20)= 26\)

This might sound stupid, but can you please let me know how you arrived to this step? average =\(20 + \frac{6}{10}*(30-20)= 26\) ?

Hi

powellmittra,

No Q is stupid and this in any case is a very genuine Q..

I have used here Weighted average method or Alligation method...

It means that the average of any two mixtures is dependent on the ratio of their quantity..

It is very useful in mixtures and averages Q, if mastered..

here we have 20 % and 30% and average has to be between these two and it will depend on their quantity...

20% has 40% quantity and 0% has 60% quantity, so average will be closer to 30 as the quantity of 30% is more..

by weighted average method

20% profit on 40% items or \(\frac{4}{10}\) items

30% profit on 60% items.. or \(\frac{6}{10}\) items

so average =\(20 + \frac{6}{10}*(30-20)= 26\)..

we are dividing the 30-20 = 10 in these 100 parts and then divide them in 60:40 ....

so 20%:30% = 40:60.....

so average will be 60/100 *10 away from 20 OR

40/100 * 10 less than 30..

_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372

Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

BANGALORE/-