The cost of an apple is four less than twice the cost of a banana, and that of a papaya is half the cost of an apple. If the total cost of the fruits is Rs. 150, then what is the cost of a banana?

Explanation

Given, Cost of banana = x The cost of an apple is four less than twice the cost of a banana. Cost of apple = 2x - 4 Papaya is half the cost of an apple. Cost of papaya = (2x - 4) / 2 Total cost of fruits = 150/∴ Cost of banana + apple + papaya = 150/⇒ x + (2x - 4) + (2x - 4) / 2 = 150 ⇒ 2x + 4x - 8 + 2x - 4 = 300 ⇒ 8x - 12 = 300 ⇒ 8x = 312 ⇒ x = 312 / 8 ⇒ x = 39 ∴ Here, the cost of banana = x. So, the cost of banana = 39/- Hence, the correct answer is "Rs. 39".