Question

4. Brij sells a watch for 4140 and loses 10%. At what price should he sell the watch to
gain 10%?​

Answer 1

Answer:

The Selling price should be Rs. 5060.

Step-by-step explanation:

Given :

Sells the watch at = Rs. 4140

Loss % = 10%

To find :

Selling price of the article to get gain is 10%

Solution :

$\textsf{\underline{\underline{Case I -}}}$

Here :

• Cost Price = ??
• Selling Price = Rs. 4140
• Loss % = 10%

$\bigstar \: {\boxed{\sf\:{CP = \frac{100}{(100 - loss\%)} \times SP}}}$

$\sf{\implies} \: CP = \dfrac{100}{100 - 10} \times 4140 \\ \\ \sf{\implies} \: CP = \dfrac{100}{90} \times 4140 \\ \\ \sf{\implies} \: CP = \dfrac{100}{9} \times 414 \\ \\ \sf{\implies} \: CP = 100 \times 46 \\ \\ \sf{\implies} \: CP = 4600$

Cost Price of the article is Rs. 4600

$\rule{300}{1.5}$

$\textsf{\underline{\underline{Case II -}}}$

Here :

• Cost Price = Rs. 4600
• Selling Price = ??
• Gain % = 10%

$\bigstar \: {\boxed{\sf\:{SP = \frac{(100 + profit\%)} {100} \times CP}}}$

$\sf{\implies} \: SP = \dfrac{(100 + 10)} {100} \times 4600 \\ \\ \sf{\implies} \: SP = \dfrac{110}{100} \times 4600 \\ \\ \sf{\implies} \: SP = 110 \times 46 \\ \\ \sf{\implies} \: SP = 5060$

Selling price = 5060

$\therefore$ The Selling price should be Rs. 5060.

Answer 2

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➡️Hope it helps yaa......✔️✔️✔️