Question

2 apples & 3 bananas cost Rs.15 and 2 apples & 2 bananas cost Rs 12. What is the cost of an apple & a banana?

• A. An apple for Rs.4 & a banana for Rs.2.50
• B. An apple for Rs.3 & a banana for Rs.3
• C. An apple is for Rs.6 and banana for Re.1
• D. An apple for Rs.2 & a banana for Rs.2

Answer 1

The correct option is B

An apple for Rs.3 & a banana for Rs.3

System of equations which represents the situation are

2a + 3b = 15 .....(i)

2a + 2b = 12 ......(ii)

Since the co-efficient of a is same i.e 2 & 2a in both the equations has the same sign, we will eliminate variable a by Subtracting the eqs.(ii) from (i)
(2a + 3b) - (2a+2b) = 15 - 12

putting this value of b in eqn. (i)