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If the selling price of a bed is 2-times of initial, then the profit is 11-times of initial. Find the initial profit percentage.
Question

If the selling price of a bed is 2-times of initial, then the profit is 11-times of initial. Find the initial profit percentage.

A.

92119\frac{2}{11}%​

B.

11%

C.

111911\frac{1}{9}%​

D.

9% 

Correct option is C

Given:

New profit = 11×1 \times ​initial profit.

Formula Used:

Profit = SP - CP

Profit % = ProfitCP×100\dfrac{\text{Profit}}{\text{CP}}\times100​​

Solution:

Initial selling price S, cost price C.

Initial profit = S - C.

New selling price = 2S

New profit = 2S - C.

Given 2S - C = 11(S - C).
2S - C = 11S - 11C

-9S + 10C = 0

S =109 \frac{10}{9}​C
Initial profit = S-C=(1091)C=19 = \left(\frac{10}{9}-1\right)C = \frac{1}{9}​C.
Initial profit %=19CC×100=1119\text{Initial profit \%} = \frac{\frac{1}{9}C}{C}\times100 = 11\frac{1}{9}​%

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