Question

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9) By selling a mixer for 3816, Manjula made
a profit of 6%. At what price should she have
sold the mixer to make a profit of 9%?​

Answer 1

GIVEN :-

• Manjula sold the mixer for 3816 and gained 6% profit.

TO FIND :-

• The price she should have sold to gain 9% profit.

SOLUTION :-

Let buying price of mixer be 'x'.

She gained 6% profit by selling mixer for 3816.

Selling price = Buying price + 6% of Buying price

$\\ \implies\sf \: 3816 = x + 6\% \: of \: x \\ \\ \\ \sf \implies 3816 = x + \dfrac{6}{100} (x) \\ \\ \\ \implies \sf \: 3816 = x + \dfrac{6x}{100} \\ \\ \\ \implies \sf \: 3816 = \dfrac{100x + 6x}{100} \\ \\ \\ \implies\sf \: 3816 = \frac{106x}{100} \\ \\ \\ \implies\sf \: 381600 = 106x \\ \\ \\ \implies\sf \: x = \frac{381600}{106} \\ \\ \\ \implies \boxed{\sf \: x =3600}$

Hence , she bought mixer at 3600.

Now we have to find the cost for which she could get 9% profit.

New Selling Price = Buying price + 9% of buying price

$\\ \implies \sf \: 3600 + \dfrac{9}{1 \cancel{00}} (36 \cancel{00}) \\ \\ \\ \implies \sf \: 3600 + 9(36) \\ \\ \\ \implies \sf \: 3600 + 324 \\ \\ \\ \implies \boxed{ \boxed{\sf \: 3924} }$

Hence , she shld sell the mixer at 3924 to get 9% profit.