Cost of 4 dozen Bananas is Rs. 180. How many bananas can be purchased in Rs.90
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Given:
- Cost of 4 dozen bananas = Rs. 180
To find:
→ Number of bananas that can be purchased for Rs. 90
Solution:
According to the question,
We know that:
1 dozen = 12 bananas
4 dozen bananas = 4 × 12 = 48 bananas.
Now,
48 bananas = Rs. 180
x bananas = Rs. 90
Taking proportion,
48 : 180 :: x : 90
Product of means = Product of extremes
⇒ 180(x) = 90 × 48
⇒ 180x = 90 × 48
⇒ 180x = 4320
⇒ x = 4320 ÷ 180
∴ x = 24 bananas
So, 24 bananas can be purchased for Rs. 90
Know more:
- This question can be solved by unitary method also i.e by dividing and finding out the cost of 1 banana and then multiplying to find out how many bananas can be purchased for Rs 90.
- This method would not give us the exact answer. So we took proportion.
Answered by
6
- Cost of 4 dozen Bananas ↠Rs 180
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- Number of Bananas that can be purchased in ↠Rs 90
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- 1 dozen ⇢ 12 units
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We know ,
ㅤㅤㅤㅤㅤ1 dozen⇢ 12 units
ㅤㅤㅤㅤㅤ4 dozen⇢12 × 4 units
ㅤㅤㅤㅤㅤㅤㅤㅤㅤ⇢ 48 units
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- 24 Bananas can be purchased for Rs 90
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Unitary method:-
- The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
For example:-
- 20 Bananas ⇢ Rs 100
- 1 Banana ⇢ Rs 100/ 20
ㅤㅤㅤㅤㅤㅤ⇢ 50
- 5 Bananas ⇢ 50 × 5
ㅤㅤㅤㅤㅤㅤㅤ⇢250
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