Question

18 A watch is sold for 3 1080 at a loss of 10%. Find the cost price of the watch (in rupees).
(1) 2000
(2) 1500
(3) 1200
1700​

Answer 1

Answer:

• Selling Price (SP) = Rs. 1080
• Loss percentage = 10%
• Cost Price (CP) = ?

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf SP=CP \times (100-Loss)\%\\\\\\:\implies\sf 1080=CP \times (100-10)\%\\\\\\:\implies\sf 1080 = CP \times 90\%\\\\\\:\implies\sf 1080 = CP \times \dfrac{90}{100}\\\\\\:\implies\sf 1080 \times \dfrac{100}{90} = CP\\\\\\:\implies\sf 12 \times 100 = CP\\\\\\:\implies\sf CP = Rs.\:1200$

⠀

$\therefore\:\underline{\textsf{Hence, Cost Price of watch is (3) \textbf{Rs. 1200}}}.$

$\rule{200}{1}$

$\boxed{\begin{minipage}{6.5 cm}\underline{\text{Some Important Formulae Related to it :}}\\ \\ SP=CP\times(100+\sf Profit)\%\\ \\SP=CP\times(100-Loss)\%\\ \\Profit\%=\dfrac{Profit}{CP}\times100 \\ \\Loss\%=\dfrac{Loss}{CP}\times100\end{minipage}}$

Answer 2

Step-by-step explanation:

Answer

18. A watch is sold for 1080 at a loss of 10%. Find the cost price of the watch (in rupees).

• ₹ 2000
• ₹ 1500
• ₹ 1200✔
• ₹ 1700

Question

A watch is sold for 3 1080 at a loss of 10%. Find the cost price of the watch (in rupees).

Given

• Selling Price (SP) = ₹ 1080
• Loss Percentage = 10%

Find

• Cost Price (CP) = ?

$\underline{ \boxed{ \sf{ \blue{ \star \: According \: To \: The \: Given \: Question }}}}$

$\underline { \boxed{ \sf{ \blue{ : \: = > SP = \bf CP × ( 100 - LOSS ) \: PERCENT}}}}$

$\underline { \boxed{ \sf{ \blue{ : \: = > 1080= \bf CP × ( 100 - 10) \: PERCENT}}}}$

$\underline { \boxed{ \sf{ \blue{ : \: = > 1080= \bf CP × 90 \: \: PERCENT}}}}$

$\underline { \boxed{ \sf{ \blue{ : \: = > 1080= \bf CP × \dfrac{90}{100} }}}}$

$\underline { \boxed{ \sf{ \blue{ : \: = > \cancel{ 1080 } × \dfrac{100} { \cancel{90}} = \bf CP</p><p>.}}}}$

$\underline { \boxed{ \sf{ \blue{ : \: = > 12 \times 100 = \bf \: CP</p><p>.}}}}$

$\underline { \boxed{ \sf{ \pink{ : \: = > CP \: = \bf \: 1200.}}}} \pink{ \bigstar}$

•°• Hence the Cost Price of the Watch is

₹ 1200.