0
0

Discount on Marked Price (Single Discount)

Introduction

Shopping या business की कई situations में किसी item को उसके marked price (MP) पर discount देकर बेचा जाता है। इस तरह के सवाल aptitude tests में बहुत common होते हैं।

मुख्य बात यह है कि discount हमेशा marked price पर ही लगाया जाता है। Final Selling Price (SP) = Marked Price - Discount Amount होता है।

Pattern: Discount on Marked Price (Single Discount)

Pattern

Shopkeeper marked price को कुछ प्रतिशत कम करके Selling Price निकालता है।

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

Step-by-Step Example

Question

एक शर्ट का marked price ₹1,200 है। Shopkeeper 15% का discount देता है। Selling Price निकालें।

Options:

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

Solution

  1. Step 1: Marked Price और Discount पहचानें।

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

  2. Step 2: Discount amount निकालें।

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

  3. Step 3: SP पाने के लिए MP से discount घटाएँ।

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

  4. Final Answer:

    ₹1,020 → Option C

  5. Quick Check:

    1200 का 85% = 0.85 × 1200 = 1020 ✅

Quick Variations

- अगर discount 25% हो ₹800 पर → SP = 75% of 800 = ₹600.

- अगर discount 10% हो ₹1,500 पर → SP = 90% of 1500 = ₹1,350.

- अगर discount 12.5% हो ₹2,000 पर → SP = 87.5% of 2000 = ₹1,750.

Trick to Always Use

  • Shortcut: Selling Price = (100 - d)% of Marked Price.
  • Tip: Complement % का उपयोग करें ताकि subtraction mistakes न हों (जैसे 20% discount → SP = 80% of MP).
  • Memory Aid: Discount हमेशा MP पर लगेगा, CP या profit price पर नहीं।

Summary

Summary

  • Discount amount निकालें: Discount = MP × (d ÷ 100).
  • Selling Price निकालें: SP = MP - Discount या SP = MP × (1 - d/100).
  • Quick method: SP = (100 - d)% of MP.
  • हमेशा discount Marked Price (MP) पर लागू करें, CP या SP पर नहीं।

याद रखने लायक example:
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

Ready for a challenge?

Take a 10-minute AI-powered test with 10 questions (Easy-Medium-Hard mix) and get instant SWOT analysis of your performance!

10 Questions
5 Minutes