1 coconut is 5 rupees 20 lemons is 1 Rupee 1 bananas 1 Rupee then a man give 100 rupees to shopkeeper then the shopkeeper gave hundred items then how many coconuts and bananas and lemons
Answers
Explanation:
so the items are 100
and the cost of that
100 items is 100.
Hence the condition is
satisfied.
The man bought 19 coconuts, 80 lemons, and 1 banana.
Given
- 1 coconut costs 5 rupees
- 20 lemons cost 1 Rupee
- 1 banana costs 1 Rupee
- A man bought 100 things for Rs. 10 from the shop
To Find
The number of coconuts and bananas and lemons he bought.
Solution
Let the no. of coconut bought be x
Let the no. of lemon bought be 20y
Let the no. of bananas bought be z
Now,
- 1 coconut costs 5 rupees
- 20 lemons cost 1 Rupee
- 1 banana costs 1 Rupee
The man bought 100 items with 100 rupees
now,
No. of items can be expressed as
x + 20y + z = 100
The cost of items can be expressed as
5x + y + z = 100 [Since 20 lemons cost Rs. 1 20y lemons will
cost Rs. y]
Therefore,
5x + y + z = x + 20y + z
or, 4x - 19y = 0
or, x = 19y/4
Since x, y, and z have to be whole numbers greater than 1,
the minimum value of y has to be 4
Using this we see
y =4, or no. of lemons = 4 X 20 = 80
x = 19 or, no. of coconut = 19
According to this
no. of bananas should be
100 - (80 + 19)
= 100 - 99
= 1
Now let us see how much this costs.
Coconuts cost Rs. 5 X 19 = Rs. 95
Lemons cost Rs. 1 X 4 = Rs. 4
Bananas cost Rs. 1 X 1 = Rs. 1
Adding all these up gives us Rs. 100
Hence, the man bought 19 coconuts, 80 lemons, and 1 banana.
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