Question

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

Answer 1

Answer:

513

Step-by-step explanation:

540 * 95 / 100

513

513 is the answer

Answer 2

Cost price is Rs. 568.42 .

Step-by-step explanation:

Given:-

• Selling price is Rs. 540.
• Loss percent is 5%.

To find:-

• Cost price (C.P).

Solution:-

Loss = Cost price(C.P) - Selling price(S.P)

Loss = C.P - 540

We know that,

Loss % =( Loss/Cost price ) × 100

Loss percent = 5%

Loss = C.P - 540

Put the values in formula :

$\implies \sf 5 = ( \cfrac{C.P - 540}{C.P} ) \times 100$

$\implies \sf \cfrac{ \cancel{5} \times C.P}{ \cancel{100}} = C.P - 540$

$\implies \sf C.P = 20 \times (C.P - 540)$

$\implies \sf C.P = 20 C.P - 10800$

$\implies \sf 20 C.P - C.P= 10800$

$\implies \sf 19 C.P = 10800$

$\implies \sf C.P = \cfrac{10800}{19}$

$\implies \sf C.P = 568.42$

Therefore,

Cost price is Rs. 568.42 .