Mr Brown spends 65% of his monthly income and saves the rest. After being promoted, his salary increases by 40% and his expenses increase by 20%. Find the percentage change in his savings.

There is a percentage increase of 77.1% in savings

Step-by-step explanation:

The answer can be determined by assigning a value to the income of Mr Brown.

Let Mr. Brown's initial income = 100

Percentage spent = 65%

Amount spent = 100 x 0.65 = 65

Percentage he saves = 100 - 65% = 35%

Amount he saves = 100 x 0.35 = 35

Salary after increase = 1.40 x 100 = 140

Increase in expenses = 1.2 x 65 = 78

Amount saved after increase in income = 140 - 78 = 62

Percentage increase = (new amount saved / previous amount saved) - 1

Percentage increase = (62 / 35) - 1 = 0.771 = 77.1%

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.