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?
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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