Question

An article was sold for Rs 540 at a loss of 8%. What was its cost price?

Answer 1

$Answer:$

$Question:-$

$An item was sold for Rs. 540 at a loss of 5 percent. What was its cost price?$

$Solution:-$

$Given:$

$S.P = Rs. 540, Loss percent = 5 percent$

$Let the Cost price = C.P\\\\Loss percent = (loss/C.P) * 100\\\\Loss percent = ((CP- SP)/CP) * 100$

$5 = ((CP - 540)/CP) * 100\\5/100 = ((CP - 540)/CP)\\1/20 = ((CP - 540)/CP) \\CP = 20 (CP - 540)\\20 = 20 CP - 10800\\20 CP - CP = 10800\\19 CP = 10800\\CP = 10800/19\\CP = Rs. 568.42\\Hence, the cost price of an item = Rs. 568.42$

$Hope it helps you!$☆

Answer 2

Answer:

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