In January 2022, Kriti paid an EMI, which was 22% of her monthly salary. She spent the remaining salary on shopping of groceries and clothes in the ratio 7:5. She spent ₹18,200 on shopping of clothes. If, in February 2022, her salary increased by 16%, then what was her salary (in ₹) in February?

EMI = 22% of Kriti's monthly salary

Spending on groceries and clothes = remaining 78% of the salary

Ratio of spending on groceries to clothes = 7:5

Amount spent on clothes = ₹18,200

Salary increase in February = 16%

Total remaining salary = Total salary - EMI

Spending on clothes = $$\frac{5}{7+5} \times 78\% \times \text{Total salary}$$​

Let Kriti's monthly salary in January be ₹X.

Amount spent on clothes in January:

​$$\text{Spending on clothes} = \frac{5}{12} \times 78\% \times X = \frac{5}{12} \times 0.78 \times X$$​​

This is given to be ₹18,200, so:

​$$\frac{5}{12} \times 0.78 \times X = 18,200 \\ \ \\\frac{3.9}{12} \times X = 18,200 \\ \ \\0.325X=18,200 \\ \ \\X = \frac{18,200}{0.325} = 56,000$$​​

Thus, Kriti's salary in January was ₹56,000.

In February, her salary increased by 16%. Therefore, her salary in February was:

​$$\text{New Salary} = 56,000 \times \left(1 + \frac{16}{100}\right) = 56,000 \times 1.16 = 64,960$$​​

$$\therefore$$ Kriti's salary in February 2022 was ₹64,960.