Question

04- A shopkeeper sold an articles for Rs 720
at a loss of 10%. At what priz he sell
so ist as to gain 5%?​

Answer 1

Answer:

Cost price of the article is Rs 800. Let the shopkeeper sells the article for Rs y to gain a profit of 5%. Thus, the selling price of the article should be Rs 840 to gain a profit of 5%.

Answer 2

Step-by-step explanation:

Given:-

• Selling price of an article = Rs.720

• Loss = 10%

To Find:-

• The Selling price if the gain is 5%

Solution:-

Selling Price (SP) = Rs.720

Loss % = 10%

$\rm \dashrightarrow CP = \dfrac{100}{100 - Loss\%}\times SP$

$\rm \dashrightarrow CP = \dfrac{100}{100 - 10}\times 720$

$\rm \dashrightarrow CP = \dfrac{100}{90}\times 720$

$\rm \dashrightarrow CP = 100 \times 8$

$\rm \dashrightarrow CP = 800$

$\rm \therefore Cost \: price \: of \: the \: article = Rs.800$

Now, let us find the Selling price if :-

Gain % = 5%

Cost Price ( CP ) = Rs.800

$\rm \dashrightarrow SP = \dfrac{100 + Gain\%}{100 }\times CP$

$\rm \dashrightarrow SP = \dfrac{100 + 5}{100 }\times 800$

$\rm \dashrightarrow SP = \dfrac{105}{100 }\times 800$

$\rm \dashrightarrow SP = 105 \times 8$

$\rm \dashrightarrow SP = 840$

$\rm If \: Gain = 5\%$

$\underline{\boxed{\purple{\rm \therefore Selling \: price \: of \: the \: article = Rs.840}}}$