Question

The ratio of the income of Arun and Bina is 3:4.If their total income is ₹ 21,000,what are their individual incomes?

Answer 1

Arun = Rs 9000

Bina = Rs 12000

Step-by-step explanation:

Given:

• Ratio of income of Arun and Bina is 3 : 4.
• Their total income is Rs 21000.

To Find:

• What are their individual incomes ?

Solution: Let x be the common in given ratios. Therefore,

Arun's income = Rs 3x

Bina's income = Rs 4x

A/q

• (Arun + Bina) income = Rs 21000

$\implies{\rm }$ Rs (3x + 4x) = 21000

$\implies{\rm }$ 7x = 21000

$\implies{\rm }$ x = 21000/7

$\implies{\rm }$ x = 3000

So their individual incomes are

• Arun's income is 3x = 3(3000) = Rs 9000

• Bina's income is 4x = 4(3000) = Rs 12000

[ Verification ]

➮ (Arun + Bina) income = Rs 21000

➮ Rs (9000 + 12000) = 21000

➮ Rs 21000 = 21000

$\large\bold{\texttt {Verified }}$

Answer 2

$\huge \overline{ \underline{ \boxed{ \tt \pink {Question}}}}$

$\tt \red {The \: ratio \: of \: the \: income \: of \: Arun} \\ \tt \red {and \: Bina \: is \: 3:4. \: If \: their \: total }\\ \tt \red{ income \: is ₹ 21,000, \: what \: are \: their } \\ \tt \red{ individual \: incomes}$

$\huge \overline{ \underline{ \boxed{ \tt \purple {Answer}}}}$

$\tt \dag Given \dag$

$\tt \green{ratio \: of \: the \: income \: of \: arun \: and \: bina \: is3 \ratio4}$

$\tt \blue{sum \: of \: their \: income \: is \: rs.21000. }$

$\tt \dag Find \dag$

$\tt \purple{their \: individual \: income.}$

$\tt \dag Solution \dag$

$\tt \orange{let \: the \: income \: of \: arun \: be \: 3x}$

$\tt \gray{income \: of \: bina \: be \: 4x}$

$\mathbb{ ACCORDING \: TO \: QUESTION }$

$\tt \pink{income \: of \: arun + income \: of \: bina = rs.21000}$

$\tt \green{3x + 4x = 21000}$

$\tt \red{7x = 21000}$

$\tt \blue{x = \frac{ \cancel{21000}}{ \cancel7} = 3000}$

$\tt \purple{x = 3000}$

$\tt \green {Individual \: income \: of \: arun = 3x = 3 \times 3000 = \boxed{ \tt rs.9000} }$

$\tt \gray {Individual \: income \: of \: bina = 4x = 4 \times 3000 = \boxed{ \tt rs.12000} }$