Question

An item with a marked price of Rs.400 is sold at successive discounts of \(30\%\),\(20\%\),\(20\%\)and\(10\%\). What will be the actual selling price of the item?

• A. Rs.165.34
• B. Rs.159.72
• C. Rs.161.28
• D. Rs.163.16

Answer 1

The Correct Option is C

Final Selling Price Calculation 

Step 1: Initial Information

The marked price of the item is Rs. 400.

Step 2: First Discount - 30%

Price after the first discount:

\[ \text{Price after first discount} = 400 \times (1 - 0.30) = 400 \times 0.70 = 280 \]

Step 3: Second Discount - 20%

Price after the second discount:

\[ \text{Price after second discount} = 280 \times (1 - 0.20) = 280 \times 0.80 = 224 \]

Step 4: Third Discount - 20%

Price after the third discount:

\[ \text{Price after third discount} = 224 \times (1 - 0.20) = 224 \times 0.80 = 179.2 \]

Step 5: Fourth Discount - 10%

Price after the fourth discount:

\[ \text{Price after fourth discount} = 179.2 \times (1 - 0.10) = 179.2 \times 0.90 = 161.28 \]

Step 6: Final Answer

The actual selling price of the item is Rs. 161.28.