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Study the following information carefully and answer the given questions:
The total number of students in the school is 1400. 325 students like only English, 275 students like only Hindi and 225 students like only Maths. The number of students likes all the subjects is 50. The number of students who like Hindi as well as English is 100 and 200 students like Hindi as well as Maths. 150 students like English as well as Maths.
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The number students like Hindi is what percent of the number of students like English?
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Hindi=275 + 100 + 200 + 50=625
English=325 + 100 + 150 + 50=625
Required percentage= (625/625) * 100=100%
What is the number of students does not like any subjects?
Number of Students doesn’t like any subjects
=1400 –(325 + 275 + 225 + 100 + 200 + 150 + 50)
=75
What is the difference between the number of students like only one subjects and the number of students who like all the subjects together?
Required Difference=(275 + 325 + 225) – 50=775
What is the number of students like atleast two subjects?
Number students like at least two subjects=200 + 150 +100 +50=500
The number of students does not like any subjects is what percent of the number of students like Hindi as well as Maths?
Hindi and Maths=200
Number of Students does not like any subjects=1400 – (325 + 275 + 225 + 100 + 200 + 150 + 50)=75
Required percentage= (75/200) * 100=37.5%
Arul borrowed Rs.4800 from Subash. He invests part of the amount in one of the scheme at 18% simple interest for 5 years and another part of the amount deposited to bank which is offering simple interest at 10% per annum for 5 years. If theamount becomes after 5 years is Rs.7920, then how much amount deposited to bank?
x* 18 * 5/100 + (4800 – x) * 5 * 10/100=7920 – 4800
90x + 4800 * 50 – 50x =312000
40x =72000
x=Rs.1800
Required amount=4800 – 1800=Rs.3000
The ratio of the speed of stream to the speed of boat in still water is 3:7 and the distance covered by downstream and upstream is 80km and 48 km respectively. If the speed of stream is 12 kmph, then find the total time taken to cover the distance.
Given that, Speed of stream=12 kmph
Then, Speed of the boat in still water=7/3 * 12=28 kmph
Downstream speed=12 + 28=40 kmph
Upstream speed=28 – 12=16 kmph
Time=80/40 + 48/16 =2 + 3=5 hours
The height of the cone is 24 cm and the radius of the cone is x cm. The cone is melted to form 4 cuboids and the length, breadth and height of the cuboid is 11cm, 4cm and 7 cm respectively. What is the length of the cone?
1/3 * 22/7 * r * r * 24 =4 * 11 * 4 * 7
r=7 cm
Thus, Length of cone=√242 + 72 =25 cm
A shopkeeper sold the article A and article B at the profit of x% and (x + 5)% respectively and the cost price of the article A and B is Rs.3000 and Rs.5200 respectively. If the sum of the selling price of article A and B is Rs.10100, then find the value of x.
3000 * (100 + x)/100 + 5200 * (100 + (x + 5))/100 =10100
3000 + 30x + 5200 + 52x + 260=10100
82x=1640
x=20%
A started the business with the investment of Rs.x and after 4 months B joined with the investment of Rs.2x. After another 4 months C joined with the investment of Rs.3x. At the end of one year the total profit is Rs.5000, then find the profit share of B.
Profit ratio=x * 12 : 2x * 8 : 3x * 4
=12:16:12
=3:4:3
B’s share= (4/10) * 5000=Rs. 2000
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