If the selling price of a bed is 2-times
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.
यदि किसी बिस्तर का विक्रय मूल्य प्रारंभिक मूल्य का 2 गुना है, तो लाभ प्रारंभिक लाभ का 11 गुना हो जाता है। प्रारंभिक लाभ प्रतिशत ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
\(11\frac{1}{9}\) %
Let Cost Price = C, Initial Profit $ = x $
Initial S.P. = C + x
New S.P. = 2(C+x)
New Profit = 11x New S.P. = C + 11x
2(C+x)=C+11x
2C+2x=C+11x
C=9x
Initial Profit % =$ \frac{x}{C}\times100=\frac{x}{9x}\times100 $
$ =\frac{100}{9}=11\frac{1}{9}% $
Answer = $ 11\frac{1}{9}$%
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