36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
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Solution
Required days = = 24 days
A and B are partners in a business. A invests Rs. 35000 for 8 months and B invests Rs. 42000 for 10 months. Out of a profit of Rs 31570, A’s share is:
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SolutionA : B
35000 × 8 : 42000 × 10
2 : 3
∴ A's share in profit = = Rs. 12628
The ratio between two numbers is 3 : 4 and their LCM is 180. The first number is:
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Solution
Let numbers are 3x & 4x.
∴ 12x = 180
x = 15
∴ First number = 3 × 15 = 45
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
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Solution
Let the third number is 100.
∴ Ratio = 120 : 150 = 4 : 5
When a commodity is sold for Rs. 34.80, there is a loss of 25%. What is the cost price of the commodity?
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Solution
Cost price = = Rs. 46.4
By selling an article for Rs 100, a man gains Rs 15. Then his gain % is:
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Solution
% profit =
A scored 30% marks and failed by 15 marks. B scored 40% marks and obtained 35 marks more than those required to pass. The pass percentage is:
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Solution
(40 – 30)% = 15 + 35
10% = 50
∴ Total marks = 500
So pass percentage = 30 + = 33%
Three-Fourth of a number is 60 more than its one third. The number is-
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Solution
Let the number is x
∴
x = 144
The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is:
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Solution
Middle number = 10.5 × 6 + 11.4 × 6 – 10.9 × 11 = 11.5
Find the least number which when divided by 16, 18, 20 and 25 leaves 4 as reminder in each case, but when divided by 7 leaves no remainder.
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Solution
LCM of 16, 18, 20 & 25 = 3600
∴ Number = = 18004 [K = 5 for remainder = 0]