A machine is sold at a profit of 10%. Had it been sold for Rs. 40 less, there would have been a loss of 10%. What was the cost price?(A) 175 (B) 200 (C) 225 (D) 250
Question
A machine is sold at a profit of 10%. Had it been sold for Rs. 40 less, there would have been a loss of 10%. What was the cost price?(A) 175 (B) 200 (C) 225 (D) 250
Solution
Let's solve this step by step:
Step 1: Let's assume the cost price of the machine is Rs. x.
Step 2: According to the problem, the machine is sold at a profit of 10%. So, the selling price of the machine is 110% of x, which is 1.1x.
Step 3: It is also given that if the machine had been sold for Rs. 40 less, there would have been a loss of 10%. So, the selling price in this case would be 90% of x, which is 0.9x.
Step 4: According to the problem, the difference between the two selling prices is Rs. 40. So, we can set up the equation 1.1x - 0.9x = 40.
Step 5: Solving this equation gives x = 200.
So, the cost price of the machine is Rs. 200. Therefore, the correct answer is (B) 200.
Similar Questions
Peter purchased a machine for Rs. 80000 and spent Rs 5000 on repairs and Rs. 1000 on transport. He sold itat a profit of 25 %. At what price did he sell the machine?(A) Rs. 100000(B) Rs. 107500(C) Rs. 105000(D) Rs. 120000
A sold a car to B at a profit of 25%.B incurred loss of 15% while selling the same car to C.A spent Rs.50000 for this car.At what price did C buy it?Rs.62,500Rs.60,000Rs.53,125Rs.90,000
Cost price of article A is Rs.X+150 and cost price of article B is Rs.X-150. Article A sold at loss of 20% and article B sold at profit of 25%. If the selling price of article B is Rs.750 more than that of article A. Find the cost price of B.
A shopkeeper marked up the price of article P by 20% and give discount of d%, then he gets a loss of (d – 11) %. If cost price of article Q is Rs.200 and gets a profit of 1.5d%, then find the selling price of the article Q.
A person sold an article for 30% profit, If he had Bought it for 10% less he would have reduced price by Rs.330 and earns a profit of 20%. What is the cost price of an Article?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.