TCS Ninja Percentages Questions and Answers Part 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:

Y=4Z ---(i) and

2X = 3Y  => Y= 2X/3 ---(ii)

To get the ratio of X, Y, Z we can represent Y and Z in terms of X.

From (i) & (ii),

• 2X/3 = 4Z => Z=X/6


• So X : Y : Z = X : 2X/3 : X/6 = 6 : 4 : 1


• So Ys share in Rs. 16500 = (4/11)*16500 =Rs. 6000

Video solution:

The value of a scooter depreciates in such a way that its value at the end of each years is \frac{3}{4} of its value at the beginning of the same year.

Initial value = 40000

Time = 3 years

Value at end of 1 year = \frac{3}{4}(40000)=30000

Value at end of 2 year = \frac{3}{4}(30000)=22500

Value at end of 3 year = \frac{3}{4}(22500)=16875

So, Option D is true

Hence its value at the end of 3 years is 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 the cost price of table for Ajith be Rs.x and given that, cost price of table for Anoob = Rs.2178

90% of 110% of x = Rs.2178

(90/100) (110/100) x = 2178

x = (2178*100)/9 *11

x = Rs.2200

Video solution:

Way 1

This type of sum can be easily done with the help of ratio, no big calculations are required. and if you force your brain it can be done orally. lets try it.

Fresh Fruit = Water: solid = 68:32 = 17:8 ;(17 + 8=25)

Dry Fruit = water : solid = 20:80 = 5:20 ;(5 + 20=25)

Now you can see clearly If you have 100 Kg of fresh fruit. it means you have 8 × 4 = 32 kg of the solid part.

and in each 25 kg of dry fruit, we have 20 kg of the solid part of the fruit.

So 32 Kg solid fruit part from the fresh fruit will produce {(25÷20)×32}=40 kg of Dry fruits.

So we will get 40 Kg of dry fruits from 100 kg of fresh fruits.

PARTY 2 & 3 GOT 12 AND 43% RESPECTIVELY=55% AS A WHOLE.
SO 55% OF 16000=8800.
AND PARTY 1 GOT 45% VOTE=45%OF 16000=7200.
MARGIN OF VOTES = 8800-7200=1600 IS THE ANSWER

Video solution:

Let number of pens sold on tuesday be x
given that the percentage increase in the number of pens sold by a trader from Tuesday to Wednesday is same as the percentage decrease in the number of pens sold from Monday to Tuesday
so
percentage increase in sales of pen from tuesday to wednesday=percentage decrease in sales from monday to tuesday=20%
then on wednesday trader sold 16 more pens than those sold on tuesday so
number of pens sold on wednesday=x+16
and this is 20% more than number of pens sold on tuesday so
[1+(20/100)]*x=x+16
6x/5=x+16
x=80
so number of pens sold on tuesday =x=80