Question

1) 25% of 50 is greater than 40% of a number by 3 . find the number. 2) A's income is 25% less than that of B.How much precent is B's income more than A's

Answer 1

Step-by-step explanation:

$\bf{\underline{\underline\orange{Question\:1:-}}}$

Given:-

• 25% of 50 is greater than 40% of a number by 3.

To Find:-

• The number.

Solution:-

Let the number be x

According to the question:-

$\implies \rm25\% \: of \: 50 - 40\% \: of \: x \: = 3$

$\implies \rm25\% \: \times \: 50 - 40\% \: \times \: x \: = 3$

$\implies \rm \bigg(\dfrac{25}{100} \: \times \: 50 \bigg)- \bigg(\dfrac{40}{100} \: \times \: x \: \bigg)=3$

$\implies \rm \bigg(\dfrac{1250}{100} \: \bigg)- \bigg( \dfrac{40x}{100} \bigg) = 3$

$\implies \rm \dfrac{1250}{100} \: - \dfrac{40x}{100} = 3$

$\implies \rm \dfrac{1250 - 40x}{100} \: = 3$

$\implies \rm {1250 - 40x}\: = 3 \times 100$

$\implies \rm {1250 - 40x}\: = 300$

$\implies \rm { - 40x}\: = 300 - 1250$

$\implies \rm { - 40x}\: = - 950$

$\implies \rm { x}\: = \dfrac{ - 950}{ - 40}$

$\implies \rm { x}\: = 23.75$

$\boxed{ \pink{\implies \rm The \: number\: = 23.75 }}$

$\bf{\underline{\underline\red{Question\:2:-}}}$

Given:-

• A's income is 25% less than that of B's income.

To Find:-

• How much percent of B's income more than A's

Solution:-

Let the income of B be ₹100

A's income = B's income - 25% of B's income

A's income:-

$\rm\implies 100- 25\% \: of \: 100$

$\rm\implies 100- \dfrac{25}{100} \times 100$

$\rm\implies 100- {25}$

$\rm\implies 75$

B's income - A's income

100 - 75

= 25

Now, B's income is ₹25 more than A's income

$\rm\implies \dfrac{25}{75} \times 100\%$

$\implies25\%$

Therefore

$\boxed{ \purple{\implies \rm B's \: income\: is\: 25\% \:more\:than\: A's\:income }}$