If 15 apples cost as much as 6 strawberries, 2 strawberries cost as much as 16 bananas, 6 bananas cost as much as 15 potatoes, then what is the cost of 1 potato if an apple costs ₹ 20?
- A₹ 25
- B₹ 22.50
- C₹ 2.50
- D₹ 2.25
Solution & Step-by-step Explanation
Let the cost of an apple, strawberry, banana, and potato be A,S,B, and P respectively.
Given:
Cost of 1 apple, A= ₹ 20.
From the first statement:
15A=6S
15×20=6S⟹300=6S⟹S=₹ 50
From the second statement:
2S=16B
2×50=16B⟹100=16B⟹B=
16
100
=₹ 6.25
From the third statement:
6B=15P
6×6.25=15P
37.5=15P
P=
15
37.5
=₹ 2.50
Therefore, the cost of 1 potato is ₹ 2.50.
Given:
Cost of 1 apple, A= ₹ 20.
From the first statement:
15A=6S
15×20=6S⟹300=6S⟹S=₹ 50
From the second statement:
2S=16B
2×50=16B⟹100=16B⟹B=
16
100
=₹ 6.25
From the third statement:
6B=15P
6×6.25=15P
37.5=15P
P=
15
37.5
=₹ 2.50
Therefore, the cost of 1 potato is ₹ 2.50.