Question

If amit income is 25% more than trishna income what % Trishna’s income is less than that of Amit’s income?

Answer 1

Hint:
This question is based on the profit – loss chapter. Take trisha’s income = 100 and find x limit income. Then find the % Trishna’s income is less than that of Amit’s income.

Complete step by step solution:
The extra money earned by selling an article is called profit or gain. When Selling Price (S.P.) is greater than the Cost Price (C.P.) ... The money lost by selling an article is called Loss. When Cost Price (C.P.) is greater than the Selling Price (S.P.) we have a loss.
Let, Trishna income be 100.
Given that,
Amit income is 25% more than trishna income.
Then,
the x limit income = $100 \times \dfrac{{25}}{{100}} + 100$
= 125
where,
Amit = 100 + 25 = 125
⇒ Amit = 100
and,
Trishna = 100.
Trishna = $\dfrac{{100}}{{25}}$
then,
Trishna = $\dfrac{{100}}{{25}} \times 100 = 80$
Now,
How much % is Trishna income less than Amit.
= $\dfrac{{Amit - Trishna}}{{Amit}} \times 100\% $
= $\dfrac{{100 - 80}}{{100}} \times 100\% $
= $\dfrac{{20}}{{100}} \times 100\% $
$= 20%$

Note:
This question is based on profit – loss chapter and also knows about the percentage.. The extra money earned by selling an article is called profit or gain. When Selling Price (S.P.) is greater than the Cost Price (C.P.) ... The money lost by selling an article is called Loss. When Cost Price (C.P.) is greater than the Selling Price (S.P.) we have a loss.
First calculate Amit’s income then Trishna income and compare it, by
= $\dfrac{{Amit - Trishna}}{{Amit}} \times 100\% $
$= 20%$