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Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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শুভ একটি পণ্যের দাম তার ক্রয়মূল্যের চেয়ে 40% বেশি চিহ্নিত করে। সে চিহ্নিত মূল্যের উপর d% এর একটি একক ছাড় দেয় এবং তবুও ক্রয়মূল্যের উপর 10% লাভ করে। d% ছাড়ের পরিমাণ নির্ণয় করুন।
22%
2172%
2173%
23%
22%
Use the formula: (100+Markup)×(100−d)=(100+Profit)×100. With 140 and 110, we get 140(100−d)=11000. Solving 140−1.4d=110 leads directly to d=30/1.4=2173. Wait, re-evaluating: 140(1−d/100)=110⟹1−d/100=110/140=11/14⟹d/100=3/14⟹d=300/14=150/7=2173.
Marked price is 40% above cost price (Markup = 40%), Profit = 10%.
(1+100Markup)×(1−100d)=(1+100Profit)
Use the formula: (100+Markup)×(100−d)=(100+Profit)×100. With 140 and 110, we get 140(100−d)=11000. Solving 140−1.4d=110 leads directly to d=30/1.4=2173. Wait, re-evaluating: 140(1−d/100)=110⟹1−d/100=110/140=11/14⟹d/100=3/14⟹d=300/14=150/7=2173.
Students often incorrectly calculate discount on the cost price or use addition/subtraction of percentages instead of multiplying the ratios (multiplicative nature of profit and discount).
Define Relationship
Let Cost Price be CP=100. Since Markup is 40%, the Marked Price (MP) is 100×1.4=140.
MP=140
Calculate Selling Price
Since Profit is 10%, Selling Price (SP) is CP+10% of CP=110.
SP=110
Solve for Discount Percentage
The discount is the difference between MP and SP on the MP base. Discount D=MP−SP=140−110=30. Discount percent d=(30/140)×100.
d=14030×100=7150=2173%
C is correct because the calculated discount percentage d=2173% matches option C.
This concept of base-switching (Markup on CP, Discount on MP) is identical to compound interest growth/decay patterns; remember to always multiply the ratio factors.