Question

Mr. S purchased a number of articles, all at a discount of 100 / 3% of the list price. However he is required to pay a duty of 20% on
his cost of goods. If he realizes a profit of 25% on his outlay, what must he charge for an article priced Rs. 228 as the list price?​

Answer 1

Answer:

228

Step-by-step explanation:

Price of article after discount=228-228*(1/3)=152

Cost including duty of 20%= 152+(152*20/100)=912/5

25% profit:

(912/5)+(25/100)*(912/5)=912/4=228

Answer 2

Given :-

• Discount on list price = (100/3) %
• Duty cost = 20% on cost of goods .
• Profit = 25%
• List price = Rs. 228

To Find :-

• Selling price of an article = ?

Solution :-

we know that,

→ a % = a/100

So,

→ (100/3) % = (100/3) × (1/100) = (1/3)

and,

→ 20% = 20/100 = (1/5)

→ 25% = 25/100 = (1/4)

we will use these fraction for given percentage now .

→ List price = Rs. 228

→ Discount = (1/3) of the list price = (1/3) × 228 = Rs. 76

then,

→ Cost of goods = List price - Discount = 228 - 76 = Rs. 152

{ Or, (2/3) of list price = cost of goods . }

Now,

→ Cost of goods = Rs.152

→ Duty cost paid = (1/5) of cost of goods = (1/5) × 152 = Rs. 30.4

then,

→ Cost of article after duty cost = cost of goods + duty cost = 152 + 30.4 = Rs. 182.4

{ or, (6/5) of the cost of goods = cost of article . }

now,

→ Cost of article = Rs. 182.4

→ Profit = (1/4) of cost of article = (1/4) × 182.4 = Rs. 45.6

then,

→ Selling price of article = CP + Profit = 182.4 + 45.6 = Rs. 228 (Ans.)

Shortcut :-

→ SP = 228 × (2/3) × (6/5) × (5/4)

→ SP = 228 × (60/60)

→ SP = Rs. 228 (Ans.)

Hence, He must charge Rs. 228 for an article .

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