d Question 11 & 12 | Job Exam Rare Mathematics (JEMrare) - Solved MCQs
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Question 11 & 12

Question 11: 5 years ago fathers age was three times of his son’s age. If son is now 30 years old what is his father’s age?

Federal Public Service Commission 2017 – 2nd batch



Solution:

Let five years ago;

Fathers age = x years

Son’s age = y years

So, as per statement of question;

Father’s age = 3 x Son’s age

\Rightarrow x = 3y

so after five years (present time)  this relation will turn like this;

\Rightarrow x+5 = 3(y+5)

But at present son’s age is 30 years , so;

\Rightarrow y+5=30

Put in above;

\Rightarrow x+5 = 3 \times 30

\Rightarrow x+5 = 90

\Rightarrow x= 90-5

\Rightarrow x= 80

So, Fathers current age is 80 years;

 

Question 12: After spending 280 rupees 30 % of the total is left. What was before the expenditure?

Federal Public Service Commission 2017 – 2nd batch

Solution:

 

Let the amount before spending = x RS

so when 280 Rs are spent, the remaining  amount will be ;

=x-280

According to question this amount should be equale to 30% of initial amount i-e;

x-280= 30 % of ;x

x-280= \frac{30}{100} \times x

\Rightarrow x-280= \frac{3}{10} \times x

\Rightarrow 10 (x-280)= 3x

\Rightarrow 10 x-2800= 3x

\Rightarrow 7 x=2800

\Rightarrow x=400

So the initial amount , i-e before spending — was Rs 400.

 

 

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