# 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

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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 