Question 73

A man buys 2 apples and 3 kiwi fruits for $$₹ 37$$. If he buys 4 apples and 5 kiwi fruits for $$₹ 67$$, then what will be the total cost of 1 apple and 1 kiwi fruit?

Solution

Let the cost of 1 apple = a

cost of 1 kiwi fruit = k

Given,

Cost of 2 apples and 3 kiwi fruits = $$₹ 37$$

$$=$$>  2a + 3k = 37 .................(1)

Cost of 4 apples and 5 kiwi fruits = $$₹ 67$$

$$=$$>  4a + 5k = 67 ..................(2)

Solving 2(1) - (1), we get

6k - 5k = 74 - 67

$$=$$>  k = 7

Substituting k = 7 in equation (1)

2a + 3(7) = 37

$$=$$>  2a = 37 - 21

$$=$$>  2a = 16

$$=$$>  a = 8

Total cost of 1 apple and 1 kiwi fruit = 8 + 7 = $$₹ 15$$

Hence, the correct answer is Option C


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