(b) A fruit vendor earns a profit of 5 by selling a kg of apples and incurs a loss of 8 by selling a kg of bananas. (i) On Saturday, he incurred a loss of 368. If he sold 16 kg of bananas, how many kg of apples did he sell? (ii) On Sunday, he made a profit of 45. If he sold 25 kg of apples, how many kg of bananas did he sell? (iii) On Monday, he made neither a profit nor a loss. If he sold 5 kg of bananas, how many kg of apples did he sell?
Answers
Step-by-step explanation:
A fruit vendor earns a profit of 5 by selling a kg of apples and incurs a loss of 8 by selling a kg of bananas. (i) On Saturday, he incurred a loss of 368. If he sold 16 kg of bananas, how many kg of apples did he sell? (ii) On Sunday, he made a profit of 45. If he sold 25 kg of apples, how many kg of bananas did he sell? (iii) On Monday, he made neither a profit nor a loss. If he sold 5 kg of bananas, how many kg of apples did he sell?
The correct question is: ...(i) On Saturday, he incurred a loss of 68. If he sold 16 kg of...
The Main Answer is: (i) He sold 12 kg of apples.
(ii) He sold 10 kg of bananas
(iii) He sold 8 kg of apples
Given: selling 1kg of apples = profit of 5
selling 1kg of bananas = loss of 8
(i) Saturday - total loss = -68; 16kg bananas sold
(ii) Sunday - total profit = 45; 25 kg of apples sold
(iii) Monday - No profit or loss; 5 kg of bananas sold
To Find: (i) Amount of apples sold
(ii) amount of bananas sold
(iii) amount of apples sold
Solution:
Profit from selling 1kg of apples = 5
Profit from selling 'x' kg of apples = 5x
Loss from selling 1 kg bananas = -8
Loss from selling 'y' kg of bananas = -8y
(i)
Total loss = -68
Amount of bananas sold = 16 kg
loss from bananas = -16(8) = -128
Let amount of apples sold = x kg
Profit from apples = 5x
According to the question-
5x - 128 = -68
5x = 60 ⇒ x = 12 kg
∴ Amount of Apples sold = 12 kg
(ii)
Total profit = 45
Amount of apples sold = 25 kg
Profit from apples = 25(5) = 125
Loss from selling 'y' kg of bananas = -8y
According to the question-
125 - 8y = 45
8y = 80 ⇒ y = 10 kg
∴ Amount of Bananas sold = 10 kg
(iii)
Total profit/loss = 0
Amount of bananas sold = 5 kg
Loss from selling bananas = -8(5) = -40
Profit from selling 'z' kg of apples = 5z
According to the question-
5z - 40 = 0
5z = 40 ⇒ z = 8 kg
∴ Amount of Apples sold = 8 kg
∴ The final answers are: (i) He sold 12 kg of apples.
(ii) He sold 10 kg of bananas
(iii) He sold 8 kg of apples
For a similar question on profit and loss, refer to:
https://brainly.in/question/12824958?msp_srt_exp=6
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