Question

The ratio of 2000, 500 and 50 notes in a purse is 5 : 19 : 8. If the total money in the bag is 39,800 then what is the amout of money in the form of 500 notes?

• A. 9,500
• B. 27,500
• C. 19,000
• D. 15,400

Answer 1

The Correct Option is C

Finding the Amount of Money in 500 Rupee Notes 

Step 1: Define Variables

Let the number of:

• ₹2000 notes be \( 5x \)
• ₹500 notes be \( 19x \)
• ₹50 notes be \( 8x \)

Step 2: Formulate the Total Amount Equation

The total amount in the purse is given by:

\[ 2000 \times 5x + 500 \times 19x + 50 \times 8x = 39800 \]

Step 3: Simplify the Equation

\[ 10000x + 9500x + 400x = 39800 \]

\[ 19500x = 39800 \]

Step 4: Solve for \( x \)

\[ x = \frac{39800}{19500} = 2 \]

Step 5: Compute the Amount in ₹500 Notes

\[ 500 \times 19x = 500 \times 19 \times 2 \]

\[ = 19000 \]

Final Answer:

Thus, the amount of money in the form of ₹500 notes is ₹19,000 (Option C).