Question 21 & 22 Two Rawalpindi -Islamabad bus tickets

Past Exam Questions 2017 0

Question 21: Two Rawalpindi -Islamabad bus tickets and three Rawalpindi – Murree tickets cost Rs 770, but three Rawalpindi – Islamabad tickets and two Rawalpindi – Murree tickets cost Rs 730. What are tariffs from Rawalpindi to cities of Islamabad and Murree ?

FPSC AD IB 2017 (Calculate the total amount of money to be paid)

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Solution:

Let fare ticket Rawalpindi – Islamabad = x

ticket Rawalpindi – Murree = y

Now we are given ;

Two bus tickets from Rawalpindi to Islamabad and three tickets from Rawalpindi to Murree cost Rs.770

$\Rightarrow 2x+3y=770 ----(1)$

and given that;

Three ticket from Rawalpindi to Islamabad and two tickets from Rawalpindi to Murree cost Rs. 730

$\Rightarrow 3x+2y=730 ----(2)$

Multiplying both sides of equations ‘1’ & ‘2’ with 2 and 3 respectively, then

we get ;

$6x+9y=2310$

$6x+4y=1460$

Subtracting these equations;

$\Rightarrow 5y =850$ $\Rightarrow y =170$

$\Rightarrow y =170$

So fare from Rawalpindi to Murree is Rs 170

Now put this value of y in eq 1 or eq 2 (we put in eq 1);

$2x + 3(170)=770$

$\Rightarrow 2x + 510=770$

$\Rightarrow 2x = 770-510 = 260$

$\Rightarrow x = \frac{260}{2}=130$

So , fare from Rawalpindi to Islamabad is Rs 130

Question 22 : Children’s tickets are sold at half price verusus adults. Five adult tickets and eight childrens’s tickets worth Rs 27 are sold. Find what adult’s ticket price is ?

FPSC AD IB 2017

Solution:

Here it is given that two children are equale to one adult . If we take ‘C’ for children and ‘A’ for adults then we can make an equation;

$2 C = 1 A -------(1)$