An article is sold for ₹747 after successive discounts of 17% and x%. If the marked price of the article is ₹1,600, what is the value of x?

Question

Accepted Answer

Step 1: Let the marked price be ₹1600.
Step 2: The first discount is 17%, so the price after first discount = 1600 × (1 - 0.17) = 1600 × 0.83 = ₹1328.
Step 3: Let the second discount be x%. After the second discount, the selling price is ₹747.
So, 1328 × (1 - x/100) = 747
=> 1 - x/100 = 747 / 1328
=> 1 - x/100 ≈ 0.5625
=> x/100 = 1 - 0.5625 = 0.4375
=> x = 43.75%

Step 4: However, 43.75% is one of the options but let's verify the calculation carefully.

Recalculate:
1328 × (1 - x/100) = 747
=> (1 - x/100) = 747 / 1328 ≈ 0.5625
=> x/100 = 1 - 0.5625 = 0.4375
=> x = 43.75%

Step 5: The calculation shows x = 43.75%, which matches option 3.

Double-checking the options and calculations, the correct value of x is 43.75%.

Therefore, the correct answer is 43.75%.

Answer

Answer

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