For Example:
1. A man spends 1/5 of his salary on food, 1/10 of his salary on house rent and 3/5 of his salary on clothes. He still has $18000 left with him. Find his salary.
Solution:
The expenditure incurred on each item is expressed as part of the total amount (salary), so it is an independent activity.
In general for independent activities
[1 – (x1/y1 + x2/y2 + x3/y3)] × Total amount = Balance amount
[1 – (1/5 + 1/10 + 3/5)] × Total salary = $18000
[1 – 9/10] × Total salary = $18000
Therefore total salary = $18000 × 10 = $180000
2. A number when divided by 899 gives a remainder 63. What remainder will be obtained by dividing the same number by 29.
Solution:
63 ÷ 29
Therefore required answer = 5.
3. The sum of two numbers is 75 and their difference is 20. Find the difference of their squares.
Solution:
If the sum of two numbers is x and their difference is y, then the difference of their squares is xy.
Here x= 75 and y = 20
75 × 20 = 1500
4. The difference between the squares of two consecutive numbers is 37. Find the numbers.
Solution:
If the difference between the squares of two consecutive numbers is x, then the numbers are (x-1)/2 and (x+1)/2
(37-1)/2 and (37+1)/2
36/2 and 38/2
Therefore the required answer = 18 and 19.
5. Two consecutive numbers are 8 and 9. Find the difference of their squares.
Solution:
If the two consecutive numbers are x and y, then the difference of their squares is given by x + y.
Here, x = 8 and y = 9.
8 + 9
Therefore the required answer = 17
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