Question

Aman sold a table for ₹ 5500 thereby making a profit of 10%. At what price must he sell an identical table to make a profit of 12%?

Answer 1

GIVEN :-

• Aman sold a table for Rs5500 making a profit of 10%.

TO FIND :-

• Price he must sell the table to make a profit of 12%.

SOLUTION :-

Let the Original Price of table be 'x'.

Aman sold the table at 10% profit at Rs5500.

x + [10% of x] = 5500

$\\ \implies\sf \: x + \dfrac{1 \cancel0x}{10 \cancel0} = 5500 \\ \\ \implies \sf \:x + \dfrac{x}{10} = 5500 \\ \\ \sf \implies\dfrac{10x + x}{10} = 5500 \\ \\ \implies \sf \: 11x = 55000 \\ \\ \implies\sf \: x = \cancel \dfrac{55000}{11} \\ \\ \implies\overline{\boxed{\sf \: x = 5000Rs}}$

Hence , Original Price of the table is Rs5000.

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Now , we have to find the Selling price at which he could gain 12%.

Selling price = 5000 + [12% of 5000]

$\sf \: Selling \: price = 5000 + \dfrac{12}{ \cancel{100}} (50 \cancel{00}) \\ \\ \sf \: Selling \: price = 5000 + 12(50) \\ \\ \sf \: Selling \: price = 5000 + 600 \\ \\ \underline{\underline{\boxed{\sf \: Selling \: price = 5600Rs}}}$

Hence , Aman should sell the table at Rs5600 to gain 12% profit.