Question

(1) A man sold an article for 540 and inc.urred a loss of 10%. Find the cost price of the article​

Answer 1

Answer:

CP = rs. 600

Step-by-step explanation:

sp of an article = rs. 540

cp = ?

loss = 10%

let cp be X

loss = 10 / 100 × X = X / 10

sp = cp - loss

⇒ 540 = X - X/10

⇒ 540 = 10X - X / 10

⇒ 540 = 9X /10

⇒ X = 540 × 10 / 9

⇒ X = 600

∴ CP = rs. 600

Answer 2

Given:

S.P= ₹ 540, loss%=5%

Let the Cost price = C.P

Loss% =( loss/C.P) × 100

Loss% =( (CP- SP)/CP ) × 100

5 =( (CP - 540)/CP ) × 100

5/100 = ( (CP - 540)/CP )

1/20 = ( (CP - 540)/CP )

CP = 20 (CP - 540)

20 = 20CP - 10800

20CP - CP = 10800

19CP = 10800

CP = 10800/19

CP =₹ 568.42

Hence, the cost price of an item = ₹ 568.42
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