Question : A businessman bought an article and sold it at a loss of 5%. If he had bought it for 10% less and sold it for Rs. 33 more, he would have had a profit of 30%. The cost price of the article is:
Option 1: Rs. 330
Option 2: Rs. 155
Option 3: Rs. 150
Option 4: Rs. 300
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: Rs. 150
Solution : Here CP denotes cost price and SP denotes selling price. Let CP = Rs. $x$ SP = $x(\frac{100-Loss\%}{100})$ ⇒ SP = $x(\frac{100-5}{100})$ ⇒ SP = $x(\frac{95}{100})$ New CP = $x-\frac{10}{100}x$ ⇒ New CP = $\frac{90}{100}x$ and new SP = $\frac{95}{100}x+33$ Profit = 30% New Profit = $\frac{95}{100}x+33 - \frac{90}{100}x$ ⇒ New Profit = $\frac{5}{100}x+33$ According to the question, $\frac{\frac{5}{100}x+33}{\frac{90}{100}x} \times 100 = 30$ ⇒ $\frac{5}{100}x+33 = 0.3(\frac{90}{100})x$ ⇒ $0.05x+33 = 0.3 \times 0.9x$ ⇒ $33 = 0.27x-0.05x$ ⇒ $33 = 0.22x$ ⇒ $x= Rs. 150$ Hence, the correct answer is Rs. 150.
Answer Key | Cutoff | Selection Process | Preparation Tips | Eligibility | Application | Exam Pattern
Question : A man sells an article at a gain of 15%. If he had bought it at 10% less and sold it for Rs. 4 less, he would have gained 25%. The cost price of the article is:
Question : A person bought an article and sold it at a loss of 10%. If he had bought it for 30% less price and sold it for INR 90 more, then he would have earned a profit of 35%. What is the cost price of the article?
Question : A shopkeeper sells an article at 20 percent profit. If he had bought it at a 10 percent less price and sold it for Rs. 48 less, then he would have earned a profit of 20 percent. What is the cost price of the article?
Question : A man sells an article at a loss of 10%. If he had sold it for Rs. 75 more he would have gained 20%. The cost price of the article is (in Rs.):
Question : A merchant sold an article at a 20% loss. If he had sold it for Rs. 390 more, 6% would have been gained on the cost price. What is the cost price of the article?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile