GAT Algebra Practice Question 2
Firstly, Today’s GAT algebra practice problem #2 is a problem solving question on word Problems. Try solving it first before you look at the explanation below.
Question: Ahmed has exactly enough money to purchase meal for 6 people. If the cost of each meal were reduced by Rs. 125, then Ahmed would have exactly enough money to purchase meal for 8 people. How much money does Ahmed have?
Answer: This is an algebra question and can be easily solved using algebraic equations.
Let ‘x’ be the initial cost of an individual meal. Initially Ahmed purchased a meal for 6 people. This means that his total spent is = 6*x (number of people times the cost per meal)
Later the cost of each meal was reduced by Rs. 125, which means that the new cost would be = x-125
However, this time Ahmed was able to buy 8 meals exactly. Again his total spent would be = 8*(x-125)
So, we can equate these two equations 8*(x-125) = 6*x since Ahmed had the same total amount of money both times.
Solve this equation for x and you will get the initial cost of each meal. Solving this yields x = 500.
The question has asked us to fin the total amount of money that Ahmed has. Total amount of money can be found by substituting the value of x in either of the two given equations.
Substituting x = 500 in either equation’s will give us Ahmed’s total spent = Rs. 3000
Correct Answer is Rs. 3,000.
By the way, students who use GAT 30 days Study Plan improve their scores significantly. On an average we have seen students improve their scores by 25 points.