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By selling $33$ metres of cloth a man gains the cost price of $11$ metres of cloth. Find his gain percent.
A$25\%$
B$30\%$
C$33\dfrac{1}{3}\%$
D$40\%$
Answer & Solution
Correct answer: C. $33\dfrac{1}{3}\%$
Selling $33$ m at SP minus their CP equals the CP of $11$ m: Gain on $33$ m $=$ CP of $11$ m.
Gain $\% = \dfrac{\text{Gain}}{\text{CP of 33 m}} \times 100 = \dfrac{11}{33} \times 100 = 33\tfrac{1}{3}\%$.
A common slip is to divide by $44$ instead of $33$ — but the CP base is the $33$ metres actually sold.
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