Question : A cloth merchant sold half of his cloth at a 40% profit, half of the remaining at a 40% loss, and the rest was sold at the cost price. In the total transaction, his gain or loss will be:
Option 1: 20% gain
Option 2:
25% loss
Option 3:
10% gain
Option 4:
15% loss
New: SSC MTS 2024 Application Form OUT; Direct Link
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer:
Solution : Let the cost price of the cloth be $\mathrm{Rs.}\;\mathrm{C}$. The merchant sold half of his cloth at a $40\%$ profit. The selling price for this part $=\mathrm{0.5C + 0.4 \times 0.5C = 0.7C}$ He sold half of the remaining at a $40\%$ loss. The selling price for this part $=\mathrm{0.25C - 0.4 \times 0.25C = 0.15C}$ The rest of the cloth was sold at the cost price. The selling price for this part $=\mathrm{0.25C}$ The total selling price $=\mathrm{0.7C + 0.15C + 0.25C = 1.1C}$ The profit percentage $=\mathrm{\frac{1.1C-C}{C}×100=10\%}$ So, the answer is $10\%$ gain. Hence, the correct answer is 10% gain.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : A dealer sold $\frac{3}{4}$th of his articles at a gain of $24\%$ and the remaining at the cost price. The percentage of gain in the whole transaction is:
Question : A shopkeeper sold $\frac{1}{3}$th of his goods at a loss of $15\%$. To get a profit of $10\%$ on the whole transaction, he should sell the remaining articles at a profit of:
Question : A trader marked the price of a commodity to include a profit of 25% but allowed a discount of 16% on the marked price. His actual profit will be:
Question : If the ratio of the cost price and selling price of an article is 20 : 21, then what will be the profit percent?
Question : If the cost price of 15 pencils is equal to the selling price of 10 pencils, what is the gain or loss percentage?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile