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There 200 students in a class whose average marks in Mathematics is 40. The average marks obtained by boys in Mathematics is 60 while that of girls is 35 then find the number of girls in the class?
Let the number of boys and girls in the class be x and y respectively
So,
Total students= 200
x + y= 200…….. (i)
Now,
60x+ 35y= 40*200
60x+35y= 8000…… (ii)
By solving the two equations, we get
y= 160, x= 40
Number of girls in the class= 160
The ratio of the length of train A to that of train B is 8 : 7. The speed of train B is 25% less than the speed of train A. The speed of train A is 84 km/h and it takes 24 seconds to cross it. A tree. Find the time taken by train B to cross a bridge that is 385 m long.
Length of the train A = 84 ×(5/18)× 24 = 560 m
Length of train B = 560 × 7/8 = 490 m
Speed of train B = 84 × 0.75 = 63 km/h = 63 × 5/18 m/s
= 17.5 m/s
Required time taken by train to cross 385 m long bridge = (490 + 385)/17.5
= 50 seconds
Rohan and Mohan start a business with investments of Rs. 24000 and Rs. 28000 respectively. After four months, Rahul also joined them with certain investment. Total profit at the end of the year was Rs. 19950. If Rahul’s share in the profit was Rs. 7600 then what was the Rahul’s investment in the business?
Let Rahul’s investment = Rs. X thousand
Ratio of their equivalent capital for 1 year:
12 × 24000 : 12 × 28000 : 8 × X × 1000 = 36 : 42 : X
Sum of their ratios = 78 + X
According to the question:
⇒ 1995X = 760 × 78 + 760X
⇒ 1235X = 59280
Hence, Rahul’s investment in the business = X thousand = Rs. 48000.
The ratio between the present age of P and Q is 8 : x. P is 10 years younger than R, R’s age after 10 years will be 44 years. The difference between Q’s and P’s age is same as the present age of R. What will come in place of x?
R’s present age = (44 – 10) years = 34 years
∴ P’s present age = (34 – 10) years = 24 years
P’s age : Q’s age = 8 : x = 8 × 3 : 3 × x = 24 : 3x
∴ Q’s present age = 3x
According to question,
⇒ 3x – 24 = 34
⇒ 3x = 24 + 34
Two barrels contain a mixture of petrol and kerosene. The content of petrol is 75% in the first barrel and 20% in the second barrels. In what ratio must the mixtures from the first and second barrels be taken to form a mixture containing 50% petrol?
By allegation method,
Directions For Questions
Direction: Study the following information carefully and answer the given question.
The given below pie chart shows the percentage distribution of number of utensils sold by five shops: A, B, C, D and E in 2021
Total number of utensils sold by five shops = 1600
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What is the sum of the number of utensils sold by shops A and D.
Required sum = (18% + 27%) of 1600
= 45% of 1600 = 45 × 16 = 720
If F is another shop which sell only plates and glasses. The total number of plates and glasses sold by shop F is equal to the average number of utensils sold by all shops and the ratio of number of plates to glass sold by shop F is 3 : 2. If shop E also sell only plates and glasses and the ratio of number of plates to glasses sold by shop E is 5 : 11, then find the difference between the number of glasses sold by shop E and the number of plates sold by shop F.
Number of utensils sold by shop F = 1600/5 = 320
In shop C, 15% of the utensils sold are pressure cookers and among the pressure cookers sold by shop C the ratio of cookers having capacity of 3 litre, 5 litre and 7 litre, is 3 : 4 : 1. What is the number of pressure cookers having 5 litre capacity are sold by shop C?
Number of utensils sold by shop C = 20% of 1600 = 20 × 16 = 320
25% of the total number of utensils sold by shop B are spoons and among the spoon sold by shop B, the ratio of brass spoon to steel spoon is 5 : 6. Number of steel spoon sold by shop B is what percentage of the total number of utensils sold by all five shops?
Number of utensils sold by shop B = 11% of 1600 = 11 × 16 = 176
Total number of utensils sold by shops A and D are what percentage more than the number of utensils sold by shops E?
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