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Question
The price of the table is 40% more than the price of a chair. By what percent price of a chair is less than the price of a table?
Solution
Let ₹ x and ₹ y be the price of a table and chair respectively.
The price of the table is 40% more than the price of a chair
∴ `("x" - "y")/"y" xx 100 = 40`
∴ `("x" - "y")/"y" = 40/100 = 2/5`
∴ `"x"/"y" - "y"/"y" = 2/5`
∴ `"x"/"y" - 1 = 2/5`
∴ `"x"/"y" = 1 + 2/5`
∴ `"x"/"y" = 7/5` ...........(i)
We need to find by how much percent is price of chair less than that of a table.
i.e. `(("x" - "y")/"x") xx 100 = ("x"/"x" - "y"/"x") xx 100`
= `(1 - "y"/"x") xx 100`
= `(1 - 5/7) xx 100` ................`[∵ "x"/"y" = 7/5]`
= `((7 - 5)/7) xx 100`
= `(2 xx 100)/7 = 28.57%`
∴ The price of chair is 28.57% less than the price of a table
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