Soft Skill-Quantitative Aptitude

A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction

• A neither losses nor gains

• A makes a profit of 11%

• A makes a profit of 20%

• B losses 20%

Answer explanation

It could be easily shown by net percentage change graphic.
100(A) == 10%(Profit) ⇒110(B) == 10%(Loss) ⇒ 99(A)

In this transaction A makes a profit of (110 - 99 = 11%) 11%

[10% on selling to B and 1% profit on buying back from B]

3. A person sells the car to another person at a loss of 10%. If the second person sells the car for Rs. 54000 and receives a 20% gain, what’s the actual price of the car? 

• 1. Rs. 60000

• 1. Rs. 25000

• 1. Rs. 75000

• 1. Rs. 50000

f the selling price of 12 books is equivalent to the cost price of 18 copies, then calculate the profit per cent. 

• 1. 40%

• 50%

• 44%

• 20%

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

• 15

• 16

• 18

• 25

Answer explanation

Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.

S.P. of x articles = Rs. 20.

Profit = Rs. (20 - x).

20 - xx 100 = 25x

2000 - 100x = 25x

125x = 2000

x = 16.

A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

• Rs. 1090

• 
  Rs. 1160

• 
  Rs. 1190

• Rs. 1202

Answer explanation

S.P. = 85% of Rs. 1400 = Rs.85x 1400= Rs. 1190

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

• 4 years

• 8 years

• 10 years

• 3 years

Answer explanation

Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.

Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50

5x = 20

x = 4.

Age of the youngest child = x = 4 years.

A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:

• 
  14 years

• 
  19 years

• 
  33 years

• 
  38 years

Answer explanation

Let the son's present age be x years. Then, (38 - x) = x

2x = 38.

x = 19.

Son's age 5 years back (19 - 5) = 14 years.

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?

• 7

• 8

• 9

• 10

Answer explanation

Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.

(2x + 2) + 2x + x = 27

5x = 25

x = 5.

Hence, B's age = 2x = 10 years.

A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:

• 14 years

• 18 years

• 20 years

• 22 years

Answer explanation

Let the son's present age be x years. Then, man's present age = (x + 24) years.

(x + 24) + 2 = 2(x + 2)

x + 26 = 2x + 4

x = 22.

The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be

• 
  12 years

• 
  14 years

• 
  18 years

• 
  20 years

Answer explanation

Let the present ages of son and father be x and (60 -x) years respectively.

Then, (60 - x) - 6 = 5(x - 6)

54 - x = 5x - 30

6x = 84

x = 14.

Son's age after 6 years = (x+ 6) = 20 years..