Question

An article was sold at a discount of 20% and there was a profit of 20% if the profit earned Rs.65 less than the discount offerd then find the selling price of the article

Answer 1

Answer:

Step-by-step explanation:

MP=65 DISCOUNT=20%. SP= ?

SP={1-20/100}of Mp

Cut it

=6/5×65

=78ans

Answer 2

Answer:

The selling price of the articles is Rs 780

Step-by-step explanation:

Given as :

The discount % of an article = d = 20%

The profit percentage = p = 20%

The profit earn Rs 65 less than discount offered

Let The selling price  of article = s.p

According to question

∵ discount% = $\dfrac{market price - selling price}{Market price}$

Or, 20% = 1 - $\dfrac{s.p}{m.p}$

Or, $\dfrac{s.p}{m.p}$ = 1 - 0.2

Or, $\dfrac{s.p}{m.p}$ = 0.8

So, s.p = 0.8 m.p

Again

Profit % = $\dfrac{selling price - cost price}{cost price}$

Or, 20% = $\dfrac{s.p}{c.p}$ - 1

Or,  $\dfrac{s.p}{c.p}$  = 1 + 0.2

Or,  $\dfrac{s.p}{c.p}$ = 1.2

Or, s.p = 1.2 c.p

Again

According to question

profit = discount - 65

So, (s . p - c. p) = (m . p - s. p ) - 65

Or, 2 s.p + 65 = m .p + c.p

Or, 2 s.p + 65 = $\dfrac{s.p}{0.8}$ + $\dfrac{s.p}{1.2}$

Or, 2 s.p + 65 = $\dfrac{10 s.p}{8}$ + $\dfrac{10 s.p}{12}$

Or, 2 s.p + 65 = $\dfrac{30 s.p + 20 s.p}{24}$

Or, 24 × (2 s.p + 65) = 50 s.p

Or, 48 s.p + 1560 = 50 s.p

Or, 50 s.p - 48 s.p = 1560

Or, 2 s.p = 1560

∴   s.p = $\dfrac{1560}{2}$

i.e s.p = Rs 780

So, The selling price of the articles = s.p = Rs 780

Hence, The selling price of the articles is Rs 780 . Answer