Question

a man sold an article at ₹400 and gained ₹25 at what price should he sell the article to gain 20% on it?
​

Answer 1

Answer:

i think

he should sold at 800/-

20/100×400= 800/-

Answer 2

Question :

A man sold an article at ₹400 and gained ₹25. At what price should he sell the article to gain 20% ?

Given :

Selling price = ₹400

Gain = ₹25

To Find :

SP of the article for a gain of 20% 

Solution :

S.p = ₹ 400, Gain = ₹ 25

Now,

Cost Price = S.P - Gain

Cost Price = ₹ 400 - ₹ 25

Cost Price = ₹ 375

Using formula,

Gain % = $\dfrac{gain}{c.p} \times 100$

⇒ Gain = $\dfrac{gain\% \times c.p}{100}$

∴ Gain = ₹ $\bigg( \dfrac{20 \times 375}{100} \bigg)= \bf{ 75}$

⇒ Selling Price = C.p.+ Gain

⇒ Selling Price = ₹ 375 + ₹ 75

⇒ Selling Price = ₹ 450

Therefore, he should sell the article at ₹ 450 to gain 20 %