Question

The salaries of A and B together amount to 2000.
A spends 95% of his salary and B, 85% of his. If
now, their savings are the same, what is A's salary?
(1​

Answer 1

Answer:

Rs. 1,500

Step-by-step explanation:

Answer 2

Answer:

$\boxed{\setlength{\unitlength}{.8mm}\begin{picture}(40,22)\thicklines\put(25,15){\vector(1,-1){10}}\put(15,15){\vector(-1,-1){10}}\put(9,18){\sf\large\star \:\underline{Income}}\put(0,1){\sf{Expense}}\put(18,1){+}\put(25,1){\sf{Saving}}\end{picture}}\quad\boxed{\begin{minipage}{5.2 cm}\qquad\qquad\quad\underline{\tt{For A :}}\qquad\underline{\tt{For B :}}\\\\\sf Income\quad\:\!= 100\%\qquad\qquad100\%\\Expenses = 95\%\qquad\qquad\:85\%\\Savings\quad= 5\%\qquad\:\:\qquad\:15\%\end{minipage}}$

$\rule{150}{1}$

Let the Salary of A and Salary of B be n and (2000 – n) respectively.

Given : A Spends 95% of Salary, & Saves 5% of Income. B Spends 85% of Salary, & Saves 15% of Income.

☯ $\underline{\textsf{ATQ, the Savings of both A \& B are Same :}}$

$:\implies\sf A_{(Saving)}=B_{(Saving)}\\\\\\:\implies\sf A_{(Salary)} \times Saving\%=B_{(Salary)} \times Saving\%\\\\\\:\implies\sf n \times 5\% = (2000 - n) \times 15\%$

★ Dividing both terms by 5%

$:\implies\sf n= (2000-n) \times 3\\\\\\:\implies\sf n = 6000 - 3n\\\\\\:\implies\sf n + 3n = 6000\\\\\\:\implies\sf 4n = 6000\\\\\\:\implies\sf n = \dfrac{6000}{4}\\\\\\:\implies\underline{\boxed{\sf n = Rs.\:1500}}\qquad\bigg\lgroup\bf A's\:Salary\bigg\rgroup$

⠀

$\therefore\:\underline{\textsf{Hence, the salary of A is \textbf{Rs. 1500}}}.$