Question

Trader gains 25% by selling an article at a discount of 35% on its marked price if the cost of the article increases by 28% what discounts present should he now on the same price to get some profit percentage as before​

Answer 1

Given :- Trader gains 25% by selling an article at a discount of 35% on its marked price if the cost of the article increases by 28% what discounts percent should he sell the article now on the same price to get same profit percentage as before ?

Solution :-

we know that,

• Selling Price (SP) = CP * (100 + Profit%)/100
• SP = Marked Price * (100 - Discount%) / 100

So,

• CP * (100 + Profit%)/100 = MP * (100 - Discount%) / 100
• MP / CP = (100 + P%) / (100 - D%) .

given that,

• Profit % = 25
• Discount % = 35% .

So,

→ MP/CP = (100 + 25)/(100 - 35)

→ MP / CP = 125 / 65

→ MP / CP = 25 / 13.

→ MP : CP = 25 : 13.

Let us assume that, MP of the article is Rs.2500x and CP of the article is Rs.1300x .

Now, we have given that, CP of article is increased by 28% .

So,

→ New CP = (1300x * 128/100) = Rs.1664x .

Now, we have :-

• MP = Rs.2500x
• CP = Rs.1664x .
• Profit % = Same before = 25% .
• Discount % = ?

Putting values again in same formula we get,

→ MP / CP = (100 + P%) / (100 - D%) .

→ (2500x/1664x) = (100 + 25) / (100 - D)

→ (2500/1664) = 125/(100 - D)

→ (20/1664) = 1/(100 - D)

→ 5/416 = 1/(100 - D)

→ 5(100 - D) = 416

→ 500 - 5D = 416

→ 5D = 500 - 416

→ 5D = 84

dividing both sides by 5,

→ D = 16.8% (Ans.)

Hence, in order to gain same profit , discount % should be 16.8% .

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Answer 2

Answer:

16.8

Step-by-step explanation:

Let assume Marked price (MP) = 100 and cost price be x

Selling price = discounted price = 100 - 35 = 65

profit gains is 25% that is

=> x + 25% of x = 65

=> x + x/4 = 65

=> 5x = 260 , x = 52

=> Cost price is 52,

Now, cost price is increased by 28%

=> 52 + 28% of 52

=> 52 + (28/100)*52

=> 52 + 14.56

=> 66.56 new cost price

Now condition is gives that profit should be same so,

selling price = Profit + cost price

=> (25% of 66.56) + 66.56

=> 16.64 + 66.56 = 83.2

Discount should be given 100 - 83.2 = 16.8%