Question

A man sells two articles for Rs 3600 each and he gains 30% on the first and loses 30%on the next . Find his total gain or loss

Answer 1

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✓✓A man sells two articles for Rs 3600 each and he gains 30% on the first and loses 30%on the next . Find his total gain or loss.

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Let profit be x and loss be y.

then,

According to question,

x = 30% and y = -30%

➥ $\bf\:x+y+\dfrac{x\times\:y}{100}$

➥ $\bf\:30+(-30)+\dfrac{30\times\:(-30)}{100}$

➥$\bf\:30-30-\dfrac{900}{100}$

➥$\bf\dfrac{-900}{100}$

➥$\bf\:-9$

[here negative indicate loss]

so, Total loss = 9%

$\bf\boxed\star\pink{\underline{\underline{{Important\: Formula....!!!!!}}}}$

• Profit ( p ) = SP - CP
• Loss ( L ) = CP - SP
• CP = SP - Profit ( P )
• CP = SP + Loss ( L )
• Gain % = (Gain × 100 / CP)
• SP = (100 - Loss% / 100) × CP
• Loss % = (Loss × 100 / CP)
• CP = 100 × SP / ( 100 + Gain%)
• SP = (100+ Gain% / 100) × CP
• CP = 100 × SP / (100 - Loss%)

$\bf\purple{{Definitions}}$

➥Cost price :- The amount paid to purchase an article is called its cost price (CP)

➥Selling Price :- The amount at which an article is sold is called its selling price (SP)

➥Profit :- If (SP) > (CP) , the seller is said to have a profit or gain and it is equal to (SP) - (CP)

➥ Loss :- (SP) < (CP) , the seller has a loss and it is equal to (CP) - (SP).

Answer 2

Given :

• A man sells two articles for Rs 3600

• he gains 30% on the first

• loses 30%on the next

To Find :

• his total gain or loss

Solution :

Total cost of articles = 3600 + 3600

→ Total cost of articles = 7200

cost of 1st articles after change = 3600 + 30% of 3600

→ cost of 1st articles after change = 3600 + 1080

→ cost of 1st articles after change = 4680

cost of 2nd articles after change = 3600 - 30% of 3600

→ cost of 1st articles after change = 3600 - 1080

→ cost of 1st articles after change = 2520

Total cost of articles after change = 4680 + 2520

→ Total cost of articles after change = 7200

Gain% = 7200 - 7200/100 × 7200

→ Gain% = 0/100 × 7200

→ Gain% = 0 × 72

→ Gain% = 0

Gain% = 0