A shopkeeper sells his items using a faulty balance which measures 25% less. He then marks up his items 15% above the cost price. If he also gives a discount of 10%, then find his net profit percentage on 1 kg items
A. 32%
B. 41%
C. 44%
D. 38%
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & \frac{{MP}}{{CP}} = \frac{{115}}{{100}} \cr & \frac{{MP}}{{CP}} = \frac{{100 + P}}{{100 - d}}\,\,\,\,\left( {d\% = 10\% } \right) \cr & \Rightarrow \frac{{115}}{{100}} = \frac{{100 + P}}{{100 - 10}} \cr & \Rightarrow \frac{{23}}{{20}} = \frac{{100 + P}}{{90}} \cr & \Rightarrow P\% = 3.5\% \cr & {\text{Now, According to the question he weights }}25\% {\text{ less}} \cr & 25\% = \frac{1}{4} \cr & \frac{{SP}}{{CP}} = \frac{4}{3} \times \frac{{103.5}}{{100}} = \frac{{69}}{{50}} \cr & {\text{Profit }}\% = \frac{{19}}{{50}} \times 100 = 38\% \cr} $$Related Questions on Profit and Loss
A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51
A. Rs. 2600
B. Rs. 2700
C. Rs. 2800
D. Rs. 3000
A. A neither losses nor gains
B. A makes a profit of 11%
C. A makes a profit of 20%
D. B loses 20%
A. Rs. 3,750
B. Rs. 3,250
C. Rs. 2,750
D. Rs. 2,250
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