A discount is a cut off the marked price (MP) — the sticker price — never off the cost price. The selling price ties markup, discount and profit together.
The master ratio
Write SP two ways and equate them:
• discount side: SP = MP × 100100−d
• profit side: SP = CP × 100100+p
Together they give CPMP=100−d100+p — turn any one quantity into the others in one line.
Trap: markup and discount do not cancel one-for-one. Marking 40% up then 10% off is a +26% profit (40 − 10 − 4), not +30%, because the discount acts on the bigger MP.
🏷️Discount CalculatorDiscount is on MP
marked price
discount %
SP = 2000 × (100−20)/100 = 1600
MP ₹500 with a 20% discount: SP = 500 × 0.8 = ₹.
📝Practice Questions
Q1MP ₹1,200 with 15% discount. SP is:
Q2Marked 25% above CP, then 20% discount. Profit% is:
Q3After 10% discount the SP is ₹540. The marked price is:
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Real exam questions — Marked Price & Discount
3 question types · 9 solved examples from real SSC papers
Discount sits on the marked price; profit sits on the cost price. The selling price links the two.
How to solve this type
A discount is a cut taken off the marked price (MP), never off the cost price. The price the customer pays is SP = MP×100100−d. Going forward (MP and d known) you multiply; going backward (SP and d known) you divide by the same 100100−d — never add the discount back. For two or more discounts, multiply the multipliers (0.90×0.95), because successive discounts are never additive. To find an unknown discount %, take MPMP−SP×100 — the denominator is MP, not SP.
An article is marked at ₹450 and sold at a 20% discount. Find the selling price.
A₹340B₹420C₹360D₹380
An item is sold for ₹6,622 after a 12% discount on the marked price. Find the marked price.
A₹7,575B₹7,500C₹7,525D₹7,425
A cooler marked at ₹800 is sold with a 10% discount followed by a further 5% discount. Find the final selling price.
