A lady bought a handbag at 35% discount. He gets another discount of 10% on cash payment. If she paid ₹585 for the handbag, find the marked value of the handbag

To find the marked value of the handbag, we need to account for both the discounts applied.

1. Let the marked price of the handbag be \( M \).

2. The first discount of 35% means the price after the first discount is:
   \[
   M - 0.35M = 0.65M
   \]

3. The second discount of 10% on cash payment means the price after the second discount is:
   \[
   0.65M - 0.10 \times 0.65M = 0.65M \times 0.90 = 0.585M
   \]

4. According to the problem, the final price paid is ₹585. Therefore:
   \[
   0.585M = 585
   \]

5. Solving for \( M \):
   \[
   M = \frac{585}{0.585} = 1000
   \]

Hence, the marked value of the handbag is ₹1000.

Would you like further details or have any questions? 

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**Tip:** When dealing with successive discounts, always apply each discount step by step rather than adding the percentages together.

Learn how to calculate the marked value of a handbag after applying successive discounts of 35% and 10%. Detailed step-by-step solution provided. Suitable for high school students studying percentages and equations.

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