Question
βXβ sold an item to βYβ at 25% profit, who then
sold it to βZβ at a profit of Rs. 60. If the difference between cost price of the item for βZβ and cost price for βXβ is Rs. 95, then find the profit earned by βXβ.Solution
ATQ,
Let the cost price of the item for βXβ be Rs. 100x
So, cost price for βYβ = 100x Γ 1.25 = Rs. 125x
So, cost price for βZβ = Rs. (125x + 60)
ATQ:
125x + 60 - 95 = 100x
Or, 25x = 35
Or, x = 35 Γ· 25 = 1.4
So, selling price for βXβ = 100 Γ 1.4 = Rs. 140
Profit earned by βXβ = 140 Γ 0.25 = Rs. 35
Conclusions:
I. No Lid being Utensil is a possibility.
II. Some Spoons are not Plates.
III. Some Spoons are Cups.
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