Kavita has one quarter more money than Nitin. Nitin has two- third money as of Pravin. If Pravin has Rs. 876 with him. How much money Kavita has?

Options

A. Rs. 365
B. Rs. 467.20
C. Rs. 730
D. Rs. 760

Answer

To solve the problem step by step, we will first determine how much money Nitin has, and then use that information to find out how much money Kavita has.

### Step 1: Determine how much money Nitin has.
We know that Pravin has Rs. 876. Nitin has two-thirds of Pravin's money.

\[ \text{Nitin's money} = \frac{2}{3} \times \text{Pravin's money} \]
\[ \text{Nitin's money} = \frac{2}{3} \times 876 \]

Calculating this:

\[ \text{Nitin's money} = \frac{2 \times 876}{3} = \frac{1752}{3} = 584 \]

### Step 2: Determine how much money Kavita has.
Kavita has one quarter more money than Nitin. Therefore, we can express Kavita's money as:

\[ \text{Kavita's money} = \text{Nitin's money} + \frac{1}{4} \times \text{Nitin's money} \]

Substituting Nitin's money into the equation:

\[ \text{Kavita's money} = 584 + \frac{1}{4} \times 584 \]

Calculating \(\frac{1}{4} \times 584\):

\[ \frac{1}{4} \times 584 = \frac{584}{4} = 146 \]

Now, substituting this back into Kavita's money equation:

\[ \text{Kavita's money} = 584 + 146 = 730 \]

### Final Answer
Kavita has Rs. 730.

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