Question 21 & 22 Two Rawalpindi -Islamabad bus tickets
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
and given that;
Three ticket from Rawalpindi to Islamabad and two tickets from Rawalpindi to Murree cost Rs. 730
Multiplying both sides of equations ‘1’ & ‘2’ with 2 and 3 respectively, then
we get ;
Subtracting these equations;
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);
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;
Further 5 adults and 8 children are buying tickets worth 27 Rs. So we can write an other equation;
We can write it as under as well;
Now put value of 2C=A from eq (1) in eq (3);
So, ticket for adult is worth Rs 3/-