Question

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1. an article was bought for ₹400 and sold for ₹336 .find the loss and loss percent.

2. If the cost price of 6 pencils is equal to the selling price of 5 pencils, find the gain percent.

3. If the cost price of 15 pens is equal to the selling price of 20 pens, find the loss percent.


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Answer 1

Question:-

• 1) An article was bought for ₹400 and sold for ₹336 .find the loss and loss percent.

Given:-

• ⟹CP of the article = ₹400

• ⟹SP of the article = ₹336

• ⟹Since, (SP) < (CP), so there is a loss.

To find:-

• ⟹ The loss and loss percent.

Solution:-

Loss ⟹ (CP) - (SP)

➠ ₹ (400 - 336) = ₹64.

Loss%

$\Longrightarrow{\large{\boxed{\sf{\dfrac{loss}{CP} \times 100}}}}$ %

$\Longrightarrow{\large{\boxed{\sf{\dfrac{64}{400} \times 100}}}}$ %

➠ 16 %

• Hence, loss = ₹64 and Loss% = 16%.

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Question:-

• 2. If the cost price of 6 pencils is equal to the selling price of 5 pencils, find the gain percent.

Answer:-

• Let the cost price of each pencil be ₹1.

Then,

= CP of 5 pencils = ₹5

= SP of 5 pencils = CP of 6 pencils = ₹6.

Solution:-

⟹ Gain = (SP) - (CP) = ₹ (6 - 5) = ₹ 1.

⟹ Gain % =

$\Longrightarrow{\large{\boxed{\sf{\dfrac{gain}{CP} \times 100}}}}$ %

$\Longrightarrow{\large{\boxed{\sf{\dfrac{1}{5} \times 100}}}}$ %

• ➦ 20%

• Hence, gain % = 20%.

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Question:-

• 3. If the cost price of 15 pens is equal to the selling price of 20 pens, find the loss percent.

Answer:-

➠ Let the CP of each pen be ₹ 1.

Solution:-

• ➠ CP of 20 pens = ₹ 20
• ➠ SP of 20 Pens = CP of 15 pens = ₹ 15.

• Thus, CP = ₹ 20 and SP = ₹ 15.

To find :-

• The loss percentage.

Solving:-

⟹ loss = (CP) - (SP) = ₹ (20 - 15) = ₹ 5.

⟹ loss % =

$\Longrightarrow{\large{\boxed{\sf{\dfrac{loss}{CP} \times 100}}}}$ %

$\Longrightarrow{\large{\boxed{\sf{\dfrac{5}{20} \times 100}}}}$ %

• ➦ 25 %

Hence, loss % = 25%

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