Question

17. The income of Amina Bibi was increased by 20% and later decreased by 20%
Let's work out the total change of percentage of her income.​

Answer 1

Answer:

Given: The initial percentage increment of her salary =20%

The later percentage decrement of her salary=20%

Tip: : x% of y means .

: if y is increased by x%, then the new value of y is

: if y is decreased by x% then the new value of y is

From the question, we see that first the salary is incremented by 20% and then later decremented by 20%. A common mistake is to say that the net change in the percentage of her salary is 0%.

The first increment of her salary by 20% is done on the initial pay of Amina Bibi.

The second decrement of her salary is done on the Increased pay of Amina Bibi, i.e.; The 20% decrement is made on the increased salary which she gets after the initial increment of her base pay.

Therefore, after stating the theory, we will implement our calculations through the given tip.

Let the initial salary of Amina Bibi be Rs. x.

Therefore, the new salary after 20% increment is

Now, after 20% decrement on this increased salary the final salary of Amina Bibi will be

Now, the change in her pay wrt to the initial pay of Amina Bibi.

Therefore, the percentage change in her pay wrt to the initial pay of Amina Bibi.

=

=4%

Step-by-step explanation:

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