Question

if a shopkeeper sells a speaker for Rs 2850 at a profit of 14 %
at what price will he sell if the profit margin is 80 % ​

Answer 1

Step-by-step explanation:

your answer is:

your answer is:16285.71

Answer 2

Answer:

• If the profit margin is 80% the shopkeeper has to sell the speaker for ₹4500.

Step-by-step explanation:

Given that:

• A shopkeeper sells a speaker for ₹2850 at a profit of 14%.

To Find:

• At what price will he sell if the profit margin is 80%?

Solution:

Finding CP of the speaker:

As we know that,

$\sf{\circ\;CP=\dfrac{100}{(100+Gain\%)}\times SP}$

Substituting the values,

$\sf{\longrightarrow\dfrac{100}{(100+14)}\times 2850}$

Adding the numbers,

$\sf{\longrightarrow\dfrac{100}{114}\times 2850}$

Reducing the numbers,

$\sf{\longrightarrow\dfrac{100}{1}\times 25}$

$\sf{\longrightarrow100\times 25}$

Multiplying the numbers,

$\sf{\longrightarrow2500}$

Hence, CP of the speaker is ₹2500.

Now,

• Required profit = 80%

Then,

As we know that,

$\sf{\circ\;SP=\dfrac{(100+Gain\%)}{100}\times CP}$

Substituting the values,

$\sf{\longrightarrow\dfrac{(100+80)}{100}\times 2500}$

$\sf{\longrightarrow\dfrac{180}{100}\times 2500}$

Cutting off the zeros,

$\sf{\longrightarrow\dfrac{180}{1\!\!\!\not{0}\!\!\!\not{0}}\times 25\!\!\!\not{0}\!\!\!\not{0}}$

$\sf{\longrightarrow180\times 25}$

Multiplying the numbers,

$\sf{\longrightarrow\underline{\boxed{\bf{4500}}}}$

Hence, if the profit margin is 80% the shopkeeper has to sell the speaker for ₹4500.