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

A man buys 2 apples and 3 kiwi fruits for Rs. 37. If he buys 4 apples and 5 kiwi fruits for Rs. 67, then what will be the total cost of 1 apple and 1 kiwi fruit? Correct Answer Rs. 15

Given

A man buys 2 apples and 3 kiwi = Rs.37

He buys 4 apples and 5 Kiwi for Rs.67

Concept used

We solve these type of question by equation method

Calculation

Let the price of 1 apple be  Rs.x

Let the price of 1 Kiwi be Rs.y

According to question

∴ Price of 2 apples and 3 kiwi

⇒ 2x + 3y = Rs.37      ----(1)

⇒ Price of 4 Apples and 5 Kiwi

⇒ 4x + 5y = Rs.67      ----(2)

⇒ Multiply equation (1) by 2 and then subtract it from equation (2), we get

⇒ y = Rs.7

⇒  put the value of y in equation (1), we get

⇒ 2x = 37- 21

⇒ x = Rs.8

∴ price of 1 apple and 1 kiwi

⇒ 8 + 7 

⇒ Rs.15

 

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