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The cost of two dozen apples and three dozen bananas is Rs. 136. The cost of 5 dozen bananas and one dozen apples is Rs. 110. What is the price of one dozen bananas?

The cost of two dozen apples and three dozen bananas is Rs. 136. The cost of 5 dozen bananas and one dozen apples is Rs. 110. What is the price of one dozen bananas? Correct Answer None of these

Given:

The cost of two dozen apples and three dozen bananas = Rs. 136,

The cost of 5 dozens bananas and one dozen apples = Rs. 110

Calculation:

Let the price of the apples per dozen be Rs. X,

And the price of the bananas per dozen be Rs. Y

⇒ 2×X + 3×Y = Rs. 136      ---- (1)

⇒ 5×Y + 1×X = Rs. 110      ---- (2)

Now, multiply (2) by 2 and subtract (1) from it

⇒ (10Y + 2X = Rs. 220) – (2X + 3Y = Rs. 136)

⇒ 7×Y = 84

⇒ Y = Rs. 12

∴ Cost of one dozen bananas is Rs. 12

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