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A man sold an article for ₹481 by first giving a d% discount on its marked price, and then another discount having the same nominal value (in ₹). If the marked price of the article is ₹1924, then what is the value of d?
42.5
37.5
32
33
37.5
Notice that SP=₹481 is exactly 41 of MP=₹1924, meaning a total discount of 75%. The first percentage discount d% plus the second discount (which equals 100d×1924 in ₹) together reduce the price by 1443, which quickly yields d=37.5%.
Marked Price (MP) = ₹1924, Selling Price (SP) = ₹481, First discount percentage = d%, Second discount = nominal value of first discount in ₹.
Discount1=MP×100d
Notice that SP=₹481 is exactly 41 of MP=₹1924, meaning a total discount of 75%. The first percentage discount d% plus the second discount (which equals 100d×1924 in ₹) together reduce the price by 1443, which quickly yields d=37.5%.
Students often assume the second discount is also d% instead of a fixed nominal rupee amount equal to the value of the first discount.
Calculate the First Discount Amount
The marked price is MP=₹1924. The first discount is d%, so the first discount amount in rupees, D1, is given by applying d% on the marked price.
D1=1924×100d=19.24d
Determine Price After First Discount and Apply Second Discount
After the first discount D1, the intermediate price becomes 1924−D1. A second discount D2 equal in nominal rupee value to D1 is given, so D2=D1=19.24d. Total discount is D1+D2=2×19.24d=38.48d.
Total Discount=2×19.24d=38.48d
Set Up Equation for Final Selling Price
Subtracting the total discount from the marked price yields the final selling price of ₹481.
1924−38.48d=481
Solve for d
Rearrange the equation to isolate d and compute its exact value.
38.48d=1924−481=1443⟹d=38.481443=37.5
B is correct because solving 1924−2×(1924×100d)=481 yields d=37.5.
Always read discount problems carefully to distinguish between successive percentage discounts (e.g., d% followed by another d%) versus fixed nominal rupee discounts.