Question

The ratio of incomes of 'A' and 'B' is 3:5 and sum of incomes of A and B is 32,000/-. Find income of B.​

Answer 1

Given :

• Ratio of the incomes = 3:5
• Sum of their incomes = 32000

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To Find :

• Income of B = ?

$\\ \rule{200pt}{3pt}$

Solution :

${\dag \; {\underline{\pmb{\frak{ Let \; the \; Ratios \; :- }}}}}$

• ➟ Income of A = 3y
• ➟ Income of B = 5y

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${\dag \; {\underline{\pmb{\frak{ Calculating \; the \; value \; of \; y \; :- }}}}}$

$\begin{gathered} \; \dashrightarrow \; \; \sf { \bigg\{ First \; No. \bigg\} + \bigg\{ Second \; No. \bigg\} = Sum{\small_{(Both \; Incomes)}} } \\ \end{gathered}$

$\begin{gathered} \; \dashrightarrow \; \; \sf { 3y + 5y = 32000 } \\ \end{gathered}$

$\begin{gathered} \; \dashrightarrow \; \; \sf { 8y = 32000 } \\ \end{gathered}$

$\begin{gathered} \; \dashrightarrow \; \; \sf { y = \dfrac{32000}{8} } \\ \end{gathered}$

$\begin{gathered} \; \dashrightarrow \; \; \sf { y = \cancel\dfrac{32000}{8} } \\ \end{gathered}$

$\begin{gathered} \; \dashrightarrow \; \; {\qquad{\red{\sf { y = 4000 }}}} \\ \end{gathered}$

$\\ \qquad{\rule{150pt}{1pt}}$

${\dag \; {\underline{\pmb{\frak{ Calculating \; the \; Incomes \; :- }}}}}$

• ➢ Income of A = 3y = 3 × 4000 = ₹ 12000
• ➢ Income of B = 5y = 5 × 4000 = ₹ 20000

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${\dag \; {\underline{\pmb{\frak{ Therefore \; :- }}}}}$

❛❛ Income of B is ₹ 20000 . ❜❜

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Answer 2

Answer:

let be, A is 3 x

and B is 5 x

then A+B= 32,000/-

3x+5x=32000

....