Q: Prabhas is twice as good a workman as Rana and finishes a piece of work in 3 hours. In how many hours they together could finish that piece of work?
Solution: Given Prabhas is twice as good a workman as Rana. Prabhas finishes the work in 3 hrs => Rana finishes the work in 6 hrs. Number of hours required together they could finish the work = 3 x 6 / 3 + 6 = 18/9 = 2 hrs.
Q: 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Solution: Given that (10M + 15W) x 6 days = 1M x 100 days => 60M + 90W = 100M => 40M = 90W => 4M = 9W. From the given data, 1M can do the work in 100 days => 4M can do the same work in 100/4= 25 days. => 9W can do the same work in 25 days. => 1W can do the same work in 25 x 9 = 225 days. Hence, 1 woman can do the same work in 225 days.
Q: One girl can eat 112 chocolates in half a minute, and her boy friend can eat half as many in twice the length of time. How many chocolates can both boy and girl eat in 12 seconds ?
Solution: Girl eats 112 chocolates in 30 sec so she can eat in 12 sec is 12 x 112/30 = 44.8 chocolates. Her boy friend can eat one-half of 112 in twice of 30 sec so he can eat 56 in 60 sec Then he can eat in 12 sec is 56 x 12/60 = 11.2 chocolates. Hence, together they can eat = 44.8 + 11.2 =56 chocolates in 12 seconds.
Q: A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in --- days ?
Solution: A can complete the work in 12 days working 8 hours a day => Number of hours A can complete the work = 12×8 = 96 hours => Work done by A in 1 hour = 1/96 B can complete the work in 8 days working 10 hours a day => Number of hours B can complete the work = 8×10 = 80 hours => Work done by B in 1 hour = 1/80 Work done by A and B in 1 hour = 1/96 + 1/80 = 11/480 => A and B can complete the work in 480/11 hours A and B works 8 hours a day. Hence total days to complete the work with A and B working together = (480/11)/ (8) = 60/11 days
Q: If the amount on a certain principal in 3 years at 12% rate of interest compounded annually is Rs 12,000, what will be the amount (in Rs) after the 4th year?
Solution: 13440
Q: A man borrowed some money and agreed to pay-off by paying Rs 3150 at the end of the 1st year and Rs 4410 at the end of the 2nd year. If the rate of compound interest is 5% per annum, then the sum is
Solution: Rs 7000
Q: A bank offers 5% compound interest per half year. A customer deposits Rs. 3200 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:
Solution: Rs 488
Q: A wholesaler had 200 dozens of mangoes. He sold some of these mangoes at 20% profit and the rest at 10% profit, so that he made 13% profit on selling all the mangoes. How many mangoes (in dozens) did he sell at 20% profit?
Solution: 60
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