TCS NQT Percentages Questions and Answers Quiz 1

Daughter weight is x

Infant weight is 60% less than daughter i.e. : 0.4x

• Mother weight is (x + 0.4x + 46)


• Total weight = x + 0.4x + (x + 0.4X + 46) = 74


• Solving the eq. x = 10

Let initially there were 100 labour and total work load was 100 units, so each labours work=1 unit.

When there are 33.33% or \frac{100}{3}% more labour,

Total laborers=100 + \frac{100}{3} = \frac{400}{3}

As \frac{400}{3}% labours has to complete the same work of 100 units

So each labours work = \frac{Work}{No. of Labourers^new} = \frac{100}{400/3} = \frac{3}{4} unit.
Hence % reduction in the work load of each labour = (1 - \frac{3}{4} )*100 = \frac{100}{4} = 25%



Video solution:

Total number of votes polled = (2561+8000+15721) = 26282

Required percentage = (\frac{15721}{26282} \times 100) = 59.81%



Video solution:

Paper A:(18/70)*100~=25.71%
Paper B:(14/30)*100~=46.66%

Therefore the solution is Paper B



Video solution:

It is given that The vale of a Scooter depreciates in such a way value at the end of each year is 3/4 of its value at the beginning of the same year.

Value at end of 1 year = (3/4)*(40000)

Value at end of 2 year = (3/4)*(3/4)*(40000)

Value at end of 3 year = (3/4)*(3/4)*(3/4)*(40000) = 16875



Video solution:

Let the total vote is x.

Then 30% of x  = \frac{30}{100} * x = 1200

x = \frac{(1200*100)}{30}

Thus, total votes i.e. x = 4000;

Now, 30% of votes already given.

So other 70% of x votes = \frac{70}{100} *4000 = 2800 votes.

Now Chauncy needs additional votes = (70 - 30)%=40% votes.

So 40% votes of x = \frac{40}{100} *4000 = 1600;

That is Chauncy needs 1600 more votes to win

Now he have needed only % of remaining votes needed by Chauncy = \frac{Additional Votes Needed}{Total Votes Remaining} *100

\frac{1600}{2800} *100

=57.14285714%



Video solution:

Let Population After 3 years is P

P= 1,21,000\left ( 1+\frac{10}{100} \right )^{3}

= 1,61,051

let Population before 2 years is x

1,21,000= x\left ( 1+\frac{10}{100} \right )^{2}

x =  1,00,000

difference = 1,61,051 - 1,00,000

= 61,051



Video solution:

the present population of the town is

p =50,000\left ( 1-\frac{5}{100} \right )^{2}<p =50,000\left ( \frac{95}{100} \right )^{2}

Video solution:

Party 2 & 3 got 12 and 43% respectively =55% as a whole.
So 55% of 16000=8800.
And party 1 got 45% votes = 45% of 16000 = 7200.
Margin of votes = 8800-7200=1600.



Video solution:

Let Marked price =100

if we give 12 % commission

Then Selling price =100 -12 =88

Let  cost price = x

we know selling price - cost price = Profit

88 - x = 20x/100

⇒ 1.2 x = 88

x  = 440/6

if we give 23 % commission

Then Selling price =100 -23 = 77

cost price = 440/6

Now Find profit % that is

profit%=\frac{profit}{CP}\times100

profit%=\frac{3.67}{440/6}\times100

profit%=5 %



Video solution: