1. Four years ago, the ages of Ritu and Reena were in the ratio 5 : 6 respectively. Eight years from now the respective ratio of their ages will be 8: 9. What is the sum of their ages at Present?
2. Two consecutive even positive integers, sum of the squares of which is 1060 are
3. A can do a piece of work in 8 days and B alone can do the same work in 10 days. A and B agreed to the work together for ₹ 720. With the help of C, they finished the work in 4 days. How much C is to be paid?
4. ‘A’ and ‘B’ complete a work in 12 days, ‘B’ and ‘C’ in 8 days and ‘C’ and ‘A’ in 16 days. ‘A’ left after working for 3 days. In how many days more will ‘B’ and ‘C’ finish the remaining work?
5. Two men and seven boys can do a work in 14 days. Three men and eight boys can do the same work in 11 days. Further eight men and six boys can do three times the amount of this work in :
6. Tap ‘A’ and ‘B’ can fill a tank in 371/2 minutes and 45 minutes respectively. Both taps are opened and after some time tap ‘B’ is turned off. The tank is filled completely in exactly 30 minutes, if tap ‘B’ is turned off after
7. Reema, Ruchi and Richa can make a painting in 15, 20 and 30 days, respectively; They undertake to make a painting for ₹ 810. The share of Reema exceeds that of Ruchi by
8. Ram can do a work in 60 days and the same work Sohan can finish in 40 days. If both of them work together, then in how many days will the work be over?
9. A boat travels upstream from A to B and back from B to A in 5 hours. The speed of the boat in still water is 8 km/hour and the speed of the current is 4 km/hour. Then, the distance from A to B is:
10. A train ‘X’ leaves station ‘A’ at 3 p.m. and reaches station ‘B’ at 4:30 p.m., while another train ’Y’ leaves station ‘B’ at 3:00 p.m. and reaches station ‘A’ at 4:00 p.m. These two trains cross each other at
11. A man rows to place 45 k.ms distant and back in 12 hours. He realise that he can row 5 kms downstream in the same time as 3 kms against the stream. The velocity of the stream is
12. A train running at the rate of 40 km/h passes a man riding parallel to the railway line in the same direction at 25 km/hr in 48 seconds. Find the length of the train in meters.
13. A streamer goes downstream from one part to another in 4 hours. It covers the same distance upstream in 5 hours. If the speed of stream is 2 km/h, the distance between the two parts is
14. A good train in 800 meters long and it is running at a constant speed of 60 km/hour. If it takes 120 seconds to pass a bridge, then calculate the length of the bridge?
15. A man can row 14 km/h instill water. In the stream flowing with the speed of 10 km/h he takes 4 hours to move with the stream and come back. Find the distance he rowed the boat.
16. A trader sells rice at a profit of 20% and uses weights which are 10% less than the correct weight. The total gain earned by his is
17. A shirt was sold at a profit of 15%. If its cost had been 5 % less and it had been sold for ₹ 21 less, then profit would have been 10%. Find the cost of the shirt.
18. Gita sold her watch to Sita for ₹ 800 at a loss of 20%. The same watch was sold to Gita by Shakti at 20% loss. What is the actual price of watch?
19. A man bought 2 pens for ₹ 65. He sold one of them at a gain of 75% and another at a loss of 6%. On the whole, he neither gained nor suffered loss. The cost of the pens were respectively
20. The difference between simple interest and compound interest at the same rate for rupees 5,000 for two years rupees 98. The rate of interest is
