Question

a seller has given a discount of 10% on an item and gains profit of 150 Rs. of 20% then find the marked price of the item​

Answer 1

AnswEr :

Rs.200.

$\bf{\green{\large{\underline{\underline{\bf{Given\::}}}}}}$

A seller has given a discount of 10% on an item and gains profit of Rs.150 of 20%.

$\bf{\red{\large{\underline{\underline{\bf{To\:Find\::}}}}}}$

The Marked price of the item.

$\bf{\purple{\large{\underline{\underline{\bf{Explanation\::}}}}}}$

$\bf{We\:have}\begin{cases}\sf{Discount\:(D)=10\%}\\ \sf{Cost\:price\:(C.P.)=Rs.150}\\ \sf{Profit\:(P)=20\%}\end{cases}}$

Formula use :

$\bf{\large{\boxed{\sf{Marked\:Price\:(M.P.)=\bigg(\frac{100+profit\%}{100-discount\%} \bigg)\times C.P}}}}}}}$

A/q

$\dashrightarrow\bf{M.P.=\bigg(\dfrac{100+20}{100-10}\bigg) \times 150}\\\\\\\\\dashrightarrow\bf{M.P.=\dfrac{120}{\cancel{90}} \times \cancel{150}}\\\\\\\\\dashrightarrow\bf{M.P.=\cancel{\dfrac{120}{3}} \times 5}\\\\\\\\\dashrightarrow\bf{M.P.=Rs.(40\times 5)}\\\\\\\\\dashrightarrow\bf{\red{M.P.=Rs.200}}$

∴ The marked price (M.P.) of item is Rs.200.

Answer 2

||✪✪ QUESTION ✪✪||

A seller has given a discount of 10% on an item and gains profit of 150 Rs. of 20% then find the marked price of the item ?

|| ✰✰ ANSWER ✰✰ ||

Lets Try To solve it with basic Method First ...

☛ Solution ❶

Lets Assume That , Marked price of Article was Rs.x .

Given That , Discount = 10%

So,

→ SP = MP * (100 - D%)/100

→ SP = x * (100 - 10)/100

→ SP = (x * 90)/100

→ SP = 0.9x . ------- Equation (1).

Now, we Have Given That,

→ Profit = 20 %

we know That :- CP = SP*100/(100+P%)

So,

→ CP = SP * 100 /(100+20)

Putting value Form Equation (1) we get,

→ CP = (0.9x) * 100 /(120)

→ CP = 0.75x . --------- Equation (2).

________

Now, we have Given That, Our CP is Rs.150.

So, comparing it with Equation (2) now, we get,

→ 150 = 0.75x

Dividing both sides by (0.75) we get,

→ x = Rs.200

Hence, Marked Price of The article is Rs.200.

_____________________________

Now, Lets Try with Direct Formula :-

☛ Solution ❷

Relation b/w, MP and CP is Given by :-

☛ (MP/CP) = (100+P%) / (100 - D%)

Given That :-

➪ CP = Rs.150

➪ P% = 20%

➪ D% = 10%

➪ MP = Let X.

Putting values now we get :-

☞ (X/150) = (100 + 20) / (100 - 10)

☞ (X/150) = 120 / 90

☞ (X/150) = 4/3

Cross - Multiplying ,

☞ 3x = 4*150

Dividing both Sides by 3,

☞ X = Rs.200 .

ஃ Marked Price of The article is Rs.200.