Friday, May 25, 2007

Campus_14

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1. A trader has 100 Kg of wheat, part of which he sells at 5% profit and the rest at 20% profit. He gains 15% on the whole. Find how much is sold at 5% profit?

(A) 60 (B)50 (C)66.66 (D) 33.3

Solution: The correct answer is D i.e. 33.3
if x = amt sold at 5% profit,
y = amt sold at 20% profit
x+y=1005
x + 20y = 1500
solving the above equations we get
x=33.3


2. In 1978, a kg of paper was sold at Rs25/-. If the paper rate increases at 1.5% more than the inflation rate which is 6.5% a year, then what wil be the cost of a kg of paper after 2 years?

Solution: Depends wether it means 1.5% as a percentage of the paper rate or as a percentage of the 6.5% inflation on the paper rate. In the case of the latter, you should :

25 * 0.065 * 1.015 + 25 = x ( cost after one year ).
x * 0.065 * 1.015 + x = 29.4

In the case of the former the total increase rate is 1.5% + 6.5% = 8%
so
25 * 1.08 * 1.08 = 29.16



3. A driver drives at a speed of 72kmph in a highway. Another driver drives at the speed of 25 m/sec . find the difference in their speeds in m/sec. ?


Solution: Speed of 1st car=>72kmph=72*5/18m/sec=20m/sec.
speed of second car=>25m/sec.

Therefore difference in their speed =5m/sec


4. In a mixture R is 2 parts and S is 1 part. In order to make S to 25% of the mixture how r is needed ?

Solution: consider the fraction of s in the mixture = 1/3So if we add one more R the the fraction wil be = 1/4
Automaticaly S becomes 25% of the mixture.
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