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Discount on Marked Price (Single Discount)

Introduction

பல shopping அல்லது business சூழ்நிலைகளில், ஒரு பொருள் அதன் marked price (MP) மீது discount வழங்கி விற்கப்படுகிறது. இந்த வகை கேள்விகள் aptitude tests இல் மிகவும் பொதுவாக வருகின்றன.

முக்கியமான கருத்து என்னவென்றால், discount எப்போதும் marked price மீதுதான் கணக்கிடப்படுகிறது. இறுதி selling price (SP) என்பது marked price இலிருந்து discount amount ஐ கழித்த மதிப்பாகும்.

Pattern: Discount on Marked Price (Single Discount)

Pattern

shopkeeper, marked price ஐ ஒரு குறிப்பிட்ட percentage அளவிற்கு குறைத்து selling price ஐ பெறுகிறார்.

Formula: Selling Price = Marked Price × (1 - Discount%/100)
Discount Amount: = Marked Price × (Discount% ÷ 100)

Step-by-Step Example

Question

ஒரு shirt இன் marked price ₹1,200. shopkeeper 15% discount வழங்குகிறார். selling price ஐ கண்டுபிடிக்கவும்.

Options:

  • A. ₹1,000
  • B. ₹1,010
  • C. ₹1,020
  • D. ₹1,030

Solution

  1. Step 1: marked price மற்றும் discount ஐ கண்டறியுங்கள்.

    Marked Price (MP) = ₹1,200, Discount = 15%.

  2. Step 2: discount amount ஐ கணக்கிடுங்கள்.

    Discount amount = (15 ÷ 100) × 1200 = ₹180.

  3. Step 3: MP இலிருந்து discount ஐ கழித்து SP ஐ பெறுங்கள்.

    Selling Price = MP - Discount = 1200 - 180 = ₹1,020.

  4. Final Answer:

    ₹1,020 → Option C

  5. Quick Check:

    1200 இன் 85% = 0.85 × 1200 = 1020 ✅

Quick Variations

- ₹800 மீது 25% discount இருந்தால் → SP = 800 இன் 75% = ₹600.

- ₹1,500 மீது 10% discount இருந்தால் → SP = 1500 இன் 90% = ₹1,350.

- ₹2,000 மீது 12.5% discount இருந்தால் → SP = 2000 இன் 87.5% = ₹1,750.

Trick to Always Use

  • Shortcut: Selling Price = (100 - d)% of Marked Price.
  • Tip: subtraction தவிர்க்க complement % பயன்படுத்துங்கள் (உதா: 20% discount என்றால், SP = MP இன் 80%).
  • Memory Aid: discount எப்போதும் MP மீது தான் பயன்படுத்த வேண்டும்; CP அல்லது profit price மீது அல்ல.

Summary

Summary

  • discount amount கணக்கிடுங்கள்: Discount = MP × (d ÷ 100).
  • selling price கண்டுபிடிக்க: SP = MP - Discount அல்லது SP = MP × (1 - d/100).
  • SP ஐ விரைவாக கணக்கிட (100 - d)% method பயன்படுத்துங்கள்.
  • discount எப்போதும் Marked Price (MP) மீதுதான்; CP அல்லது SP மீது அல்ல.

நினைவில் வைக்க வேண்டிய உதாரணம்:
MP = ₹1,200, d = 15% → SP = ₹1,200 × 0.85 = ₹1,020.

Practice

(1/5)
1. A toy is marked at ₹500. A discount of 10% is given. Find the selling price.
easy
A. ₹450
B. ₹400
C. ₹475
D. ₹420

Solution

  1. Step 1: Identify MP and discount %.

    Marked Price = ₹500, Discount = 10%.

  2. Step 2: Calculate the discount amount.

    Discount amount = (10 ÷ 100) × 500 = ₹50.

  3. Step 3: Subtract discount from MP to get SP.

    Selling Price = 500 - 50 = ₹450.

  4. Final Answer:

    Selling Price = ₹450 → Option A

  5. Quick Check:

    90% of 500 = 450 ✅
Hint: Selling Price = (100 - discount%) × MP ÷ 100.
Common Mistakes: Forgetting to subtract discount from MP or applying discount on wrong base.
2. A bag is marked at ₹800. It is sold at a discount of 20%. Find the selling price.
easy
A. ₹600
B. ₹640
C. ₹700
D. ₹720

Solution

  1. Step 1: Note MP and discount rate.

    Marked Price = ₹800, Discount = 20%.

  2. Step 2: Compute the discount amount.

    Discount amount = (20 ÷ 100) × 800 = ₹160.

  3. Step 3: Subtract discount from MP.

    Selling Price = 800 - 160 = ₹640.

  4. Final Answer:

    Selling Price = ₹640 → Option B

  5. Quick Check:

    80% of 800 = 640 ✅
Hint: Shortcut: SP = (100 - d)% of MP.
Common Mistakes: Mistaking 20% of 800 as 200 instead of 160.
3. A shirt has a marked price of ₹1,200. If a discount of 15% is given, what is the selling price?
easy
A. ₹1,000
B. ₹1,050
C. ₹1,020
D. ₹1,080

Solution

  1. Step 1: Identify MP and discount.

    Marked Price = ₹1200, Discount = 15%.

  2. Step 2: Calculate discount amount.

    Discount amount = (15 ÷ 100) × 1200 = ₹180.

  3. Step 3: Subtract to find SP.

    Selling Price = 1200 - 180 = ₹1020.

  4. Final Answer:

    Selling Price = ₹1020 → Option C

  5. Quick Check:

    85% of 1200 = 1020 ✅
Hint: When % is easy (like 15%), split into 10% + 5% of MP.
Common Mistakes: Subtracting percentage directly (1200 - 15) instead of calculating 15%.
4. A watch is marked at ₹2,000. The shopkeeper offers a 12.5% discount. Find the selling price.
medium
A. ₹1,750
B. ₹1,800
C. ₹1,700
D. ₹1,850

Solution

  1. Step 1: Record MP and discount rate.

    Marked Price = ₹2000, Discount = 12.5%.

  2. Step 2: Find discount amount.

    Discount amount = (12.5 ÷ 100) × 2000 = ₹250.

  3. Step 3: Compute selling price.

    Selling Price = 2000 - 250 = ₹1750.

  4. Final Answer:

    Selling Price = ₹1750 → Option A

  5. Quick Check:

    87.5% of 2000 = 1750 ✅
Hint: 12.5% = 1/8, so subtract 1/8 of MP quickly.
Common Mistakes: Treating 12.5% as 12 or 13 instead of fraction 1/8.
5. A pair of shoes is marked at ₹1,500. A discount of 20% is given. What is the selling price?
medium
A. ₹1,100
B. ₹1,150
C. ₹1,200
D. ₹1,250

Solution

  1. Step 1: Identify MP and discount %.

    Marked Price = ₹1500, Discount = 20%.

  2. Step 2: Compute discount amount.

    Discount amount = (20 ÷ 100) × 1500 = ₹300.

  3. Step 3: Find SP after discount.

    Selling Price = 1500 - 300 = ₹1200.

  4. Final Answer:

    Selling Price = ₹1200 → Option C

  5. Quick Check:

    80% of 1500 = 1200 ✅
Hint: For 20% discount, SP = 4/5 of MP.
Common Mistakes: Subtracting 20 instead of 20% of MP.

Mock Test

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