Cognizant Percentage Quiz-1

3 boundries and 8 sixes=3*4+8*6=60
so,total runs make by running between the wickets is 110-60=50
so,percentage is (50/110)*100 %=45\frac{5}{11}

Increase by 10% & decrease by 10% means there is a loss of 1%
totally. That loss in 1% percent is added to Rs. 2178 to get
actual price.
1% of 2178=21.78
2178+21.78=2199.78(=2200 appro).

Video solution:

33.3 as distance is constant
s1*t=s2*3/4t
s2=s1*4/3
increase=change*100/original
=(s2-s1)*100/s1
=33.3%

Let the candies with be (x + 15) and x.
Therefore, x + 15 = 60/100(x + 15 + x)
(x + 15) = 3/5(2x + 15)
5x + 75 = 6x + 45
x = 30
So, the marks of two students are 45 and 30.

Consider the third no. as 100, and so the first two no.s are 70 and 63.
now the second no. is less than the first no. by 7
so
the second no. is (7/70)*100% = 10% less than the first no.

Failed in mathematics, n(A) = 34
Failed in English, n(B) = 42

n(A)=( \frac{60}{100}\times 96)=\frac{288}{5}

n(B)=( \frac{30}{100}\times 96)=\frac{144}{5}

n(A∩B)=( \frac{15}{100}\times 96)=\frac{72}{5}

People who have either or both lunch

n(A∪B)=\frac{288}{5}+\frac{144}{5}-\frac{72}{5}  =\frac{360}{5}=72

So People who do no have either lunch were = 96 -72
= 24

Contribution by 30% @ 40$ each= 30*40=1200
Contribution by 45% @ 10$ each= 45*10=450
Contribution by rest 25% @12$ each= 25*12= 300
% of total contribution came from the people who gave
40$= 100*1200/(1200+450+300)= 2400/39 =61.53

A:B=3:2
A's share=855 so, B's share= 2/3 0f 855=570
total a+b share = 855+570=1425
and it 95% of the profit as 5% goes to charity
hence total profit was 1425*100/95= 1500

If the paper rate increases at 1.5% more than the inflation
rate which is 6.5%
This means paper rate increase is 1.5+6.5 = 8% per year
For the first year the increase is 8 % or (8/100)x25 = 2
So the new cost is 25+2 = 27
For the second year the increase is the same = (8/100)x27 = 2.16
So the cost = 27+2.16 = 29.16