Question

Suresh gets his salary credited to his bank account in the beginning of the month. He spends one-third of his salary on rent, and a sum of Rs.10,000 to purchase a new mobile phone. Of the amount left, he spends one-half on groceries and one-third on paying his bills. If the balance at the end of the month is Rs.2000, what is his salary?

Answer 1

Answer:

lol

Step-by-step explanation:

Answer 2

Concept

In this type of question, assume the beginning amount be x so that it can help in making equation according to the amount spend .

Given

We have been given that Suresh spends one-third of his salary on rent ,  Rs.10,000 to purchase a new mobile phone and he spends one-half of the left amount on groceries and one-third on paying his bills and at the  of the month his balance is Rs.2000 .

Find

We are asked to determine the monthly salary of Suresh

Solution

Assume that initially he had Rs. $x$.

He spent $\frac{1}{3}$  on rent $=\frac{1}{3} \times x$

Remaining money $=\frac{2}{3} \times x$

He spent Rs. 10,000 on mobile phone (Remaining money) $=\frac{2x}{3} -10000$

He spent $\frac{1}{2}$ of remaining money on groceries $=\frac{1}{2} (\frac{2x}{3} - 10000)$

He spent $\frac{1}{3}$ of remaining money on paying his bills $=\frac{1}{3} (\frac{2x}{3} -10000)$

After, paying bills he left with the balance Rs. 2000 .

$\frac{1}{3} (\frac{2x}{3} -10000)=2000\\\\\frac{2x}{3} -10000=6000\\\\\frac{2x}{3}=16000\\\\x=\frac{16000\times3}{2} \\x=24000$

Therefore , the salary of Suresh is Rs. 24000 .

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