Question

A retailer buys goods for ₹10, 000.He offers a discount of 10% on the marked price of the goods and still manages a profit of 8%. What was the marked price of the goods? ​

Answer 1

Answer: Rs. 12,000   Step-by-step explanation:   C.P. of an article = Rs. 10,000  Profit = 8%  ♦ S.P. = (100 + profit%)/100 × C.P. ➾ S.P. = (100 + 8)/100 × 10,000 ➾ S.P. = 108/100 × 10,000 ➾ S.P. = 108 × 100 ➾ S.P. = Rs. 10,800  He offers a discount of 10% on the marked price of the goods, so ➾ M.P. = (100/100 - d%) × S.P. ➾ M.P. = (100/100 - 10) × 10800 ➾ M.P. = 100/90 × 10800 ➾ M.P. = Rs. 12,000 _______________________

Answer 2

Given :

• Cost price of goods = ₹ 10000
• Discount offered = 10 %
• Profit = 8 %

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To Find :

• Marked price of the goods = ?

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Solution :

~ Formula Used :

• Discount :

${\color{darkblue}{\dashrightarrow}} \: \: {\underline{\boxed{\red{\sf{ Marked \: Price = \dfrac{100 - Discount \: \% }{100} \times Cost \: Price }}}}}$

• Profit :

${\color{darkblue}{\dashrightarrow}} \: \: {\underline{\boxed{\red{\sf{ Marked \: Price = \dfrac{Profit \: \% + 100 }{100} \times Cost \: Price }}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

~ Calculating the Marked Price(Profit) :

${\longmapsto{\qquad{\sf{ Marked \: Price = \dfrac{Profit \: \% + 100 }{100} \times Cost \: Price }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Marked \: Price = \dfrac{8 + 100 }{100} \times Cost \: Price }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Marked \: Price = \dfrac{8 + 100 }{100} \times 10000 }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Marked \: Price = \dfrac{108}{100} \times 10000 }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Marked \: Price = \cancel\dfrac{1080000}{100} }}}} \\ \\ \ {\qquad{\sf{ Marked \: price \: on \: the \: goods {\small_{(Profit)}} = {\green{\sf{ ₹ \: 10800 }}}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

~ Calculating the Marked Price (Discount) :

$[tex]{\longmapsto{\qquad{\sf{ Marked \: Price = \dfrac{100 - Discount \: \% }{100} \times Cost \: Price }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Marked \: Price = \dfrac{90 }{100 - 10} \times 10800 }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Marked \: Price = \dfrac{100 }{90} \times 10800 }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Marked \: Price = \dfrac{1080000}{90} }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Marked \: Price = \cancel\dfrac{1080000}{90} }}}} \\ \\ \ {\qquad{\sf{ Marked \: price \: on \: the \: goods {\small_{(Discount)}} = {\orange{\sf{ ₹ \: 12000 }}}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

Therefore :

❝ Marked price of the goods is ₹ 12000 .❞

$\\ {\purple{\underline{\rule{75pt}{9pt}}}}{\red{\underline{\rule{75pt}{9pt}}}}{\color{cyan}{\underline{\rule{75pt}{9pt}}}}$