Question

The profit percent of an article is 12.5%. Discount given on the article was 16.66%.If the difference between CP and MP is Rs.70. Find the selling price?​

Answer 1

Answer:

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Step-by-step explanation:

CP:MP = 2x:3x

⇒ profit = MP- CP = 3x-2x=x

Profit % : discount % = 3:2

Let CP= 200, SP = 300

But

100

3x

×200+

100

2x

×300=6x+6x=12x

⇒12x=100

⇒x=8.33%

∴ Discount = 2x= 16.66%

Answer 2

The selling price of the article is 225.

The profit percent of an article is 12.5 %. Discount given on the article was 16.66%. If the difference between CP and MP is 70.

We have to find the selling price of the article.

We should use formula,

$\frac{M.P}{C.P}=\frac{100+P}{100-D}$

where P represents profit percent, D represents discount.

here, P = 12.5 % = 25/2 %

D = 16.66 % ≈ 50/3 %

∴ MP/CP = (100 + 25/2)/(100 - 50/3)

⇒MP/CP = (225 × 3)(2 × 250) = 27/20

Let proportionality constant is k.

∴ MP = 27k and CP = 20k

given, MP - CP = 70

⇒27k - 20k = 70

⇒7k = 70

⇒k = 10

so, MP = 27 × 10 = 270 and CP = 20 × 10 = 200

∵ profit percent of an article is 12.5 %

so, selling price of article = CP + 12.5 % of CP

= 200 + 12.5/100 × 200

= 200 + 25

= 225

Therefore the selling price of the article is 225.