Question

By selling every article at a loss of 10 rs, a person had 16 2/3 percent loss. What was the cost price of each article.​

Answer 1

Answer:

• The cost price of each article is Rs 60.

Step-by-step explanation:

Given that:

• By selling every article at a loss of 10 rupees, a person had 16⅔ percent loss.

To Find:

• What was the cost price of each article?

Let us assume:

• The cost price of each article be x.

Finding the cost price of each article:

According to the question.

⟿ 16⅔ % of x = 10

The value of % is 1/100.

⟿ 50/3 × 1/100 × x = 10

⟿ 50x/300 = 10

⟿ 50x = 300 × 10

⟿ 50x = 3000

⟿ x = 3000/50

⟿ x = 60

∴ The cost price of each article = Rs 60

Answer 2

Answer:

Given:

• Selling every article at loss 10/-
• Loss = 16 ⅔ = 50/3
• Loss % = 50/3%

Find:

• Cost of each article?

Solution:

• Let cost of article be 'A'
• 50/3 × 1/100 × A = 10
• 50/300 × A = 10

$: { \implies{ \sf{ \frac{50}{300} A =10 }}} \\ \\ : { \implies{ \sf{ 50A =3000 }}} \\ \\ : { \implies{ \sf{ A = \frac{3000}{50} }}} \\ \\ : { \implies{ \sf{ A = \frac{{ \cancel{3000}}}{ \cancel{{50}}} }}} \\ \\ : \:{ \implies{ \sf{ \red{ A = 60 }}} }$

${ \therefore{ \sf{ \underline{ \blue{Cost \: of \: Each \: Article = 60rs}}}}}$