Shiya invests ₹1,53,000, which is 30% of her annual income, in mutual funds. What is her monthly income (in ₹)?

To find Shiya's monthly income, we can break down the problem into logical mathematical steps:

Step 1: Understand the given information
Shiya's investment in mutual funds = ₹1,53,000
This investment is equal to 30% of her annual income.

Step 2: Calculate the annual income
Let Shiya's annual income be $A$.
According to the problem:
$30\%ofA=1,53,000$

We can write this as a mathematical equation:
$\frac{30}{100}\times A=1,53,000$

To find $A$, we multiply both sides by $\frac{100}{30}$:
$A=1,53,000\times \frac{100}{30}$

Simplifying the expression:
$A=5,100\times 100$
$A=5,10,000$

So, Shiya's annual income is ₹5,10,000.

Step 3: Calculate the monthly income
Since there are 12 months in a year, we divide her annual income by 12 to find her monthly income:
$\text{Monthly income}=\frac{\text{Annual income}}{12}$

$\text{Monthly income}=\frac{5,10,000}{12}$
$\text{Monthly income}=42,500$

Therefore, Shiya's monthly income is ₹42,500.

The correct option is 42,500.