ABC26GN2826 · Profit and Loss

Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:

A showroom owner sells a leather jacket for ₹ X and claims to make a profit of 10\%. He plans to have a stall in the trade fair and marks the same jacket at ₹ 2X. At the stall, he allows a discount of 20\%. What will be the percentage profit that he will make at the trade fair? (M.B.A., 2006)
(a)60%
(b)76%
(c)80%
(d)86%
Answer
Answer (as printed): B
Explanation
S.P. = ₹ X. Profit = 10\%. C.P. $=₹\left(\frac{100}{110} \times X\right)=₹ \frac{10 X}{11}$. M.P. = ₹ 2X, Discount = 20\%. S.P. at trade fair = 80\% of ₹ 2X $=₹\left(\frac{80}{100} \times 2 X\right)=₹ \frac{8 X}{5}$. Profit $=₹\left(\frac{8 X}{5}-\frac{10 X}{11}\right)=₹ \frac{38 X}{55}$. $$\therefore \text { Profit } \%=\left(\frac{38 X}{55} \times \frac{11}{10 X} \times 100\right) \%=76 \% .$$

Explanation as extracted from the printed page; notation may be imperfect.

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