Manoj gave 60\% of his salary to his wife and invested the rest amount in mutual funds. His wife spends 30\% of the amount on grocery and 20\% on rent. From the remaining amount, she purchased gold worth Rs 18000. Find the salary of Manoj.

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**Solution:**

1. Let the salary of Manoj be Rs $100x$.

2. Amount given to wife = $60\%$ of salary = $\frac{60}{100} \times 100x = 60x$.

3. Wife spends 30\% on grocery and 20\% on rent, total spent = $30\% + 20\% = 50\%$ of the amount given to her.

4. Remaining amount with wife after grocery and rent = $50\%$ of $60x$ = $60x \times \frac{50}{100} = 30x$.

5. This remaining amount is used to purchase gold worth Rs 18000, so:
   $$
   30x = 18000
   $$

6. Solving for $x$:
   $$
   x = \frac{18000}{30} = 600
   $$

7. Therefore, salary of Manoj = $100x = 100 \times 600 = Rs\ 60000$.

**Answer:** Rs 60000

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