Question
A shopkeeper sold an article at profit of 10%. Had he
bought it at 10% less and sold it for Rs. 3 more, then he would have earned a profit of 25%. Find the cost price of the article?Solution
Let the cost price at = Rs. x So selling price at 10% profit = (x×110)/100 = 11x/10 According to question, New cost price 10% less = (x×90)/100 = 9x/10 New selling price = 11x/10 + 3 Profit = 25% So. 9x/10 × 125/100 = 11x/10 + 3 45x/40 - 11x/10 = 3 (45x-44x)/40 = 3 x = Rs. 120 ∴  Cost price of the article = Rs. 120 Alternate Method: Let cost price be Rs. 100 Selling price = Rs. 110 According to question,  New cost price = Rs. 90 ∴ New selling price = 90 × 125/100 = Rs. 112.5 on 25% profit, Difference in selling price 112.5 - 110 = 2.5 So. if cost price 100 so Difference is Rs. 2.5 but the actual difference is Rs. 3 So, cost price = 3/2.5 × 100 = Rs. 120 x = Rs. 120 cost price of the article = Rs. 120
40 men or 50 women can build a wall in 30 days. If 40 men and 50 women work together, how many days will they take to complete 60% of the work?
Reena and Teena together can do a piece of work in 60 days. Teena and Meena together can do it in 40 days. Reena starts the work and works on it for 10...
Mohan, Sohan, and Rohan alone can finish a piece of work in 50, 100, and 150 days respectively. They start the work together, but Mohan leaves after 8 d...
Komal and Seema individually can complete a task in ‘3a’ hours and ‘5a’ hours respectively. If they together can complete (2/3)rd of the work in...
‘A’ and ‘B’ can do a piece of work in 17 days and 34 days, respectively. They started working together but ‘A’ left after 4 days. Find the t...
A group of 21 boys, each working 6 hours a day, complete a school project in 15 days. How many days will it take for 18 boys, wor...
5 girls can do a piece of work in 9 days, 4 boys can do the same piece of work in 8 days, 6 men do the same piece of work in 2 days and 4 women can do t...
Komal and Seema individually can complete a task in ‘2a’ hours and ‘5a’ hours respectively. If they together can complete half of the work in 5...
A can complete a work in 20 days. B takes 10 days less than A to complete the same work. In how many days can both of them together complete 90% of the ...
‘A’ and ‘B’ can do a piece of work in 25 days and 30 days, respectively. If they started the work together and worked on it for 8 days, then fin...
Relevant for Exams:
