Average
- The average of 10 numbers is 7. If each number is multiplied by 12, then the average of the new set of numbers will be
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As we know that If each number is multiplied by a certain number, then the average is also multiplied by that number.
Given , The average of 10 numbers = 7Correct Option: D
As we know that If each number is multiplied by a certain number, then the average is also multiplied by that number.
Given , The average of 10 numbers = 7
∴ Required average = 7 × 12 = 84
- The average weight of five persons sitting in a boat is 38 kg. The average weight of the boat and the persons sitting in the boat is 52 kg. What is the weight of the boat ?
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Given that , The average weight of five persons sitting in a boat = 38 kg.
Sum of weight of five persons = 5 × 38 = 190
The average weight of the boat and the persons sitting in the boat = 52 kg.
Sum of weight of the boat and five persons = 6 × 52 = 312Correct Option: B
Given that , The average weight of five persons sitting in a boat = 38 kg.
Sum of weight of five persons = 5 × 38 = 190
The average weight of the boat and the persons sitting in the boat = 52 kg.
Sum of weight of the boat and five persons = 6 × 52 = 312
∴ Weight of the boat = Sum of weight of the boat and five persons – Sum of weight of five persons
Weight of the boat = 312 – 190 = 122 kg
- The average monthly salary of all the employees in an industry is ₹ 12,000. The average salary of male employees is ₹ 15,000 and that of female employees is ₹ 8,000. What is the ratio of male employees to female employees ?
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Let Male employees = p
Female employees = q
∴ (p + q) 12000 = p × 15000 + q × 8000
⇒ (p + q) × 12 = 15p + 8q
⇒ 12p + 12q = 15p + 8q
⇒ 3p = 4qCorrect Option: C
Let Male employees = p
Female employees = q
∴ (p + q) 12000 = p × 15000 + q × 8000
⇒ (p + q) × 12 = 15p + 8q
⇒ 12p + 12q = 15p + 8q
⇒ 3p = 4q⇒ p = 4 q 3
⇒ p : q = 4 : 3
- The average of 8 numbers is 27. If each of the numbers is multiplied by 8, find the average of new set of numbers.
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Given , The average of 8 numbers = 27
If each item is multiplied by 8, their average gets multiplied by 8.
∴ Required average = 8 × The average of 8 numbersCorrect Option: D
Given , The average of 8 numbers = 27
If each item is multiplied by 8, their average gets multiplied by 8.
∴ Required average = 8 × The average of 8 numbers
Required average = 8 × 27 = 216
- In a certain year, the average monthly income of a person was ₹ 3,400. For the first eight months of the year, his average monthly income was ₹ 3,160 and for the last five months, it was ₹ 4,120. His income in the eighth month of the year was
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Given that , average income of a person = ₹ 3,400
Sum of annual income of a person = ₹ ( 3,400 x 12 )
Sum of first eight month income of a person = ₹ ( 3160 x 8 )
Sum of last five month income of a person = ₹ ( 5 × 4120 )
∴ Person’s income in the eighth month = (3160 × 8 + 5 × 4120 – 12 × 3400)Correct Option: B
Given that , average income of a person = ₹ 3,400
Sum of annual income of a person = ₹ ( 3,400 x 12 )
Sum of first eight month income of a person = ₹ ( 3160 x 8 )
Sum of last five month income of a person = ₹ ( 5 × 4120 )
∴ Person’s income in the eighth month = (3160 × 8 + 5 × 4120 – 12 × 3400)
Person’s income in the eighth month = (25280 + 20600 – 40800) = 5080
