JNU 2011

[neha:)]

Need help with the following questions:

Q. 29) Suppose the rate of profit is 20%, profit income is taxed at the rate of 30% and the rate of inflation is    
5%. The real post-tax profit rate is :
   (a). 9%
   (b). 10.5%
   (c). -15%
   (d). none of the above.

Q.44) Let X,Y,Z be statements. Suppose we know that X implies Y, and that Y implies Z. If we also know that Y is false, we can conclude that:
   (a). X is true
   (b). X is false
   (c). Z is true
   (d). Z is false.

[Dreyfus]

I m getting profit rate as 8.57%

[Dreyfus]

Nd for 44th X is false

[rongmon]

29.

I have the answer as 13.3%.

[Arushi1]

Even I think its 8.57%

The after tax profit is- .2(1-.3) = .14

And the real post tax rate will be- 1.14/ 1.05 = 1.08571

So the post-tax profit rate is 8.57 %

Vaibhav and Rongmon, please elaborate on your respective methods.
Thanks :)

[neha:)]

That's right. The answer for Q.29 is (a). And for Q.44 is (b). Could any of you please explain both the answers..

[rongmon]

I divided the the profits - 14 - by the inflation rate - (1.05).

If you have the answer, I don't suppose that is correct.

[Dreyfus]

Rongmo u aren't using profit after tax! That's y u r getting that result...net profit after tax is 14%

[neha:)]

Please explain the answer to Q. 44!

[Akshay Jain]

The statement -X implies Y
is equivalent to the statement- negation of Y implies negation of X
thus X is false

[neha:)]

Akshay, I have understood what you have mentioned about a statement and its negation. But I am unable to apply this concept in the given question. Could you please guide me, on how to go about it?

[Akshay Jain]

See...X implies Y means that X is a subset of Y.....if X takes place then Y automatically takes place....
Y imples Z means that Y is a subset of Z which means if Y takes place then Z automatically takes place...
so X is a subset of Y and Y is a subset of Z
take X-(1,2,3) Y-(1,2,3,4,5) nd Z-(1,2,3,4,5,6,7)
if Y doesnt happen then X also vl,not happen for sure...but nthin can b said about Z.

[neha:)]

Oh! You've made it so easy to understand now! Thanks a lot :)

[Akshay Jain]

If u take a general approach
 no. Of elements in X <=no. Of elements in Y<= no. Of elements in Z
negation of Y implies negation of X but nothin can b said about Z

[neha:)]

Got it! Thanks! :)

[ViV]

for 29th Question Amit Sir has uploaded answer which is (a)9%