Question

11. If the selling price of 18 articles is equal to the cost price of 21 articles, what is the loss or gain percent?

Answer 1

Given :

• Selling Price of 18 Articles is equal to Cost price of 21 Articles

To find :

• Gain or Loss Percentage %

According to the question :

↦Selling Price of 18 Articles = Cost price of 21 Articles

⟶ Let Selling price of 1 Article = x

⟶ Selling price of 18 Articles = 18 × x

⟶ 18x

⟶ Cost price of 1 Article = ' x '

⟶ Cost price of 21 Articles = 21 × x

⟶ 21x

↦Selling price is less than Cost price

∴ It's Loss

Formulas which we are using :

➳ Loss = Cost price - Selling price

➳ Loss % = Loss / Cost price × 100

Loss :

➳ Cost price - Selling price

⟹ 21x - 18x

⟹ 3x

Loss percentage % :

➳ Loss / Cost price × 100

⟹ 3x / 21x × 100

⟹ 1x / 7x × 100

⟹ 100 / 7 %

So, It's Done !!

Answer 2

Given data:-

The selling price of 18 articles is equal to the cost price of 21 articles.

Solution:-

→ cost price = C.P

→ selling price = S.P

{According to given}

Let, cost price of article be x and selling price of article be y.

Hence, {According to given}

${→{18y = 21x}}$

${→{y = \frac{21y}{18} }}$

Here, from ( 1 ) we saw that x < 21x/18 means cost price is less than selling price hence its profit, so now

${→ { \bf{Profit \: percent = \frac{(S.P \: - \: C.P) }{C.P} \times100 }}}$

${→ { \bf{Profit \: percent = \frac{(y \: - \: x) }{x} \times100 }}}$

${→ { \bf{Profit \: percent = \frac{( \frac{21x}{18} \: - \: x) }{x} \times100 }}}$

${→ { \bf{Profit \: percent = \frac{ \frac{3x}{18} }{x} \times100 }}}$

${→ { \bf{Profit \: percent = \frac{ 3x}{18x} \times100 }}}$

${→ { \bf{Profit \: percent = \frac{1}{6} \times100 }}}$

${→ { \bf{Profit \: percent = 16.66 \: percent}}}$

Hence, profit percent is 16.66%.