1. A invested Rs. 85000 in a business After a few moths, B joined him with Rs. 51000. At the end of the year, the total profit was divided between them in the ratio of 2 : 1. If the profit was divided according to their equivalent capital shares then after how many months did B join?
1) 8 months
2) 3 months
3) 4 months
4) 2 months
5) 9 months
Sol.1 (4); Let B joined after x months
[(85000X12)/{(12-x)(5100)}]=(2/1)
x=2
i.e B joined after 2 months.
2. A tree grows 15% every year. If it is 10 feet high now then what will its height be after 2 years?
1) 13.225 feet
2) 16.9 feet
3) 17.89 feet
4) 18.225 feet
5) 19 feet
Sol. 2 (1); The tree grows 15% every year
time=2 years
present height=10 feet
Height after 2 years=10(115/100)^2
=(10X13225)/10000=13.225 feet.
3. A shopkeeper bought 20 pens and sold 18 pens for the same price. What per cent did he gain or lose?
1) 11(1/9)% loss
2) 11(1/9)% gain
3) 22(2/3)% loss
4) 16(2/3)% gain
5) 20% loss
Sol. 3 (2); CP of 20 pens=SP of 18 pens
SP/CP=20/18
P % = (1/9)X100
P = 11(1/9)
P % = (1/9)X100
P = 11(1/9)
4. After successive discounts of 20%, 10% and 5% a certain good is sold for Rs. 6840. Find the actual price of the good.
1) Rs. 6000
2) Rs. 9000
3) Rs. 10800
4) Rs. 10000
5) Rs. 10050
Sol. 4(4)
Required actaul price of the Goods=6840X(100/80)X(100/90)X(100/95)
=10,000
5. A sum of money amounts to Rs. 1150 after 3 years and Rs. 1250 after 5 years at the same rate of simple interest. What is the rate of interest per annum?
1) 8%
2) 5%
3) 10%
4) 15%
5) 20%
Sol. 5 (2); S.I. for 2 year=(1250-1150)=100
S.I. for 1 year=50
S.I. for 3 years=50X3=150
P=1150-150=1000
R%=(50X100)/1000=5%
6. At what rate of compound interest per annum does a sum of money amount to Rs. 4840 in 2 years and Rs. 5324 in 3 years?
1) 5%
2) 6%
3) 8%
4) 10%
5) 7.5%
Sol. 6 (4); Rate of interest for 1 year=5324-4840=484
Rate of interest=(484X100)/4840=10%
7. Ram, sita and Laxman can do a piece of work in 20 days,25 days and 30 days respectively. They finished the work together and earned Rs. 7400 as wages. find the difference between the wages of Ram and Laxman.
1) Rs. 1000
2) Rs. 1200
3) Rs. 1800
4) Rs. 2000
5) None of these
Sol. 7 (1); LCM of 20, 25 &30=300
Ratio of their wages
300X(1/20) : 300X(1/25) : 300X(1/30)= 15 : 20 : 10
15+20+10=7400
1=200
Required difference=(15-10)200=1000
8. Pipe A and B can fill a cistern in 15 minutes and 30 minutes respectively, While Pipe C can empty it in 45 minutes. If all the pipes are opned together at the same time, in what time will the cistern be full?
1) 18(2/5) minutes
2) 16(2/7) minutes
3) 12(6/7) minutes
4) 11(5/7) minutes
5) 14(5/7) minutes
Sol. 8 (3); A, B & C can fill in 1 minute
(1/15)+(1/30)-(1/45)=7/90 port
therefore, 7/90 port can be filled in 1 minutes
1 port can be filled in (90/7) minutes=12(6/7)
9. The wheel of a cycle completes 500 rotations to cover 2.2 km. What is the radius of the wheel?
1) 2.8 m
2) 1.4 m
3) 1.2 m
4) 0.4 m
5) None of these
Sol. 9. (5); 2 pi RX500=2.2 X 1000
R=0.7 m
10. A 330m-long train is running at 54 m per sec. In what time will it cross a 156-metre-long bridge?
1) 9 seconds
2) 8 seconds
3) 6 seconds
4) 10 seconds
5) 16 seconds
Sol. 10 (1); Time=(330+156)/54=9 seconds
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