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Unit 5

Q1. A farmer has 90 kg of rice , a part of which he sells at 15% profit and the rest at 5% loss. He earns 9% on the whole . What is the ratio at which he sold both quantities .

(a) 4:3 (b) 7:3 (c) 10:3 (d) 2:5

Solution.
(b) 7:3
Solution

Q2. A manager's expenditure and saving are in the ratio 7:15 . His income increases by 15%. His expenditure also increases by 30%, By how many percent does her saving increases?

(a) 9% (b) 10% (c) 8% (d) 6%

Solution.
(c) 8%
Solution

Q3. 4 men and 6 women finish a job in 8 days , while 3 men and 7 women finish in 10 days . In how many days will 20 women finish the job .

(a) 25 days (b) 20 days (c) 10 days (d) 5 days

Solution.
(b) 20 days
Solution

Q4. If 10 men and 4 boys working together can do six times as much work per day as 1 man and 2 boy together , compare the work of a man with that of a boy.

(a) M = 3B (b) M = 4B (c) M = B (d) M = 2B

Solution.
10M + 4B = 6(M + 2B)

4M = 8B

M = 2B
Solution

Q5. A and B can do a work in 28 and 35 days respectively . They worked together, but A left after some days and B finished the remaining work in 17 days. After how many days did A leave ?

(a) 12 days (b) 8 days (c) 9 days (d) 10 days

Solution.
(28 x 35)/(28 + 35) x (35 - 17)/(35)

= 8 days
Solution

Q6. Without stoppage a person travels a certain distance at an average speed of 40km/hr, and with stoppage he covers the same distance at an average speed of 30km/hr . Find the rest minutes per hour.

(a) 16 minutes (b) 20 minutes (c) 15 minutes (d) 10 minutes

Solution.
(c) 15 minutes
Solution

Q7. A person takes 26 hours to walk to office and ride back, he gained 6 hrs if he had covered both ways by riding . Find the time to walk both sides.

(a) 21 hrs (b) 32 hrs (c) 16 hrs (d) 40 hrs

Solution.
Walking + Riding = 26

2(Riding) = 20

Riding = 10

so, walking = 16hrs

total time to walk both side = 32 hrs
Solution

Q8. A man can row 6 km/hr in still water . In a stream which is flowing at 3 km/hr , it takes 5 hrs to row to a place and back. How long is the place ?

(a) 13.6 km (b) 11.25 km (c) 12 km (d) 14 km

Solution.
(b) 11.25 km
Solution

Q9. A man can row a particular distance downstream in 6 hours and return the same distance in 9 hours if the rate of stream is 2km/hr . Find the speed of man in still water .

(a) 10 km/hr (b) 12 km/hr (c) 14 km/hr (d) 15 km/hr

Solution.
(a) 10 km/hr
Solution

Q10. Average speed of a train is 60 km/hr , without stoppage and with stoppage it travels the same distance at an average speed of 40 km/hr . How many minutes per hour does the train stops ?

(a) 18 minutes (b) 20 minutes (c) 10 minutes (d) 25 minutes

Solution.
(b) 20 minutes
Solution