Question

a man sells an article for Rs.360 at a gain of 20%.find the cost price?

Answer 1

the formula of cost price is 1+profit divided by 100 and multiplayer by selling price now you can solve

Answer 2

Question

1. Ram sells an article for Rs.360 at a gain of 20%. Find its cost price.

Solution:-

    Let C.P of the article = Rs.100

⁂                   Gain = 20% of Rs.100 = Rs.20

and,                S.P = Rs.100 + Rs.20 = Rs.120

When S.P is Rs.120; C.P = Rs.100

  $\sf{When \: S.P \: is \:Rs 1; C.P =Rs \dfrac{100}{120}}$

$\sf{When\:S.P \: is \: Rs.360 \: ;C.P=Rs. \dfrac{100}{120} \times 360 = Rs.300}$

Alternative method :

$\sf{ C.P = \dfrac{100}{(100+gain\%)} \times S.P$

$\sf{=> C.P= \dfrac{100}{100+20} \times Rs.360= \dfrac{100}{120} \times Rs.360=Rs.300$