Word Problem 1
Problem 1: Income of A is 25 % less than B’s income. How much percent B’s income would be more than that of A ?
(word problems on job exam mathematics.)
Solution:
To solve this problem we will suppose income of B
i-e
then because A’s income is 25% less than that of B, we write;
Now we can find how much B is earning extra than A – by subtracting A’s income from B’s income.
i-e
Now we use percentage formula – to find what percent this B’s extra income is of A’s income !
So, here we will put B’s extra earning as nominator and A’s income as denominator;
So, B is earning approximately 33% more than A
Problem 65: If the price of the coal be raised by 10%, by how much percent a man must reduce its consumption so as not to increase his expenditure ?
Solution:
This is the problem involving percentage calculation. Here we assume that intially price of caol and expenditure are same.
i-e Let’s suppose;
Rise in price is 10%, so we will find first 10% of x (price)
or
New price will be the sum of increment and original price
i-e
or simply
If the man keeps on burning same quantity of coal then again his consumption will be equal to the new price
i-e he will stay with
Now suppose to keep his expenditure same (i-e ‘x’) the man now will have to reduce his consumption by y% of ‘new consumption’
i-e
Now If we subtract from ‘new consumption’ this ‘reduction’ then consumptiom will stay equal to original expenditure ‘x’
i-e
New Consumption – Reduction in Consumption = x
cancelling ‘x’ term
So, the man will have to reduce his consumption by