Question
A can complete a piece of work in 10 days. B in 15 days
and C in 20 days. A and C worked together for two days and then A was replaced by B. In how many days, altogether, was the work completed (in days)?Solution
Work done by ( A + C ) in 2 days = 2 (1/10 + 1/20 ) = 2 ((2 + 1)/20 ) = 6/20 = 3/10 Remaining work = 1 - 3/10 = 7/10 ( B + C )’s 1 day’s work = 1/15 + 1/20 = (4 + 3)/60 = 7/60 Time taken by ( B + C ) to finish 7/10 part of the work = 60/7 × 7/10 = 6 days Total time = 2 + 6 = 8 days Alternate method: Let total work = LCM (10,15,20) = 60 units So A’s 1 day work = 60/10 = 6 units B’s 1 day work = 60/15 = 4 units C’s 1 day work = 60/20 = 3 units A & C’s work for 2 days = (6+3)×2 = 18 units So remaining work = 60 – 18 = 42 units Now A is replaced by B So B & C together will do work in 1 day = 3 + 4 = 7 units So they can do the remaining job in = 42/ 7 = 6 days So total days = 6 + 2 = 8 days
The marked price of a product is Rs.300 more than the cost price. If 55% discount offered on the marked price and the profit percent on that product is ...
Ravi purchased an article and marked it 75% above the cost price and sold it after giving a discount of 25% for Rs. 1575. What will be the selling price...
- Priya sold 35% of her books. She then found that she had 40 fewer books than 75% of what she originally owned. How many books did Priya sell?
Burger King applies a fixed charge and an additional fee for each burger ordered. 'Arun' and 'Vicky' placed orders for 180 and 120 burgers, respectively...
A shopkeeper buys an article for Rs. 3,200. He wants to make a 10% gain after offering a 20% discount on the label price. What should be the marked pric...
- A person bought a television at a 14% discount. If he had received a 28% discount, he would have saved â‚ą5600 more. Find the market price of the televisio...
Anil sold 12 cameras at a loss of 10%. If he had sold all the cameras for Rs. 1440 more, his overall profit would have been 20%. What is the cost price ...
A store owner sells two products, E and F. She makes a 10% profit on product E costing Rs. 1000. If the combined profit percentage for the two products ...
A Company allow 8% commission on the total sales to its salesman but if the salesman is appointed on a fix salary of Rs. 5000 and 6% commission on the s...
A fruit seller sells mangoes at a profit of 20%. If he had bought them at 10% less and sold them for â‚ą3 less per mango, he would have gained 25%. Find...
