Question

A person sold an article for Rs.3,600 and got a profit of 20%.had he sold the article for Rs.3,150,how much profit would he have got?​

Answer 1

Answer:

• If the article was sold for ₹3150, gain% will be 5%.

Step-by-step explanation:

Given that:

• A person sold an article for ₹3600 and got a profit of 20%.

To Find:

• If he had sold the article for ₹3150, how much profit would he have got?

Solution:

Finding Cost Price of the article:

As we know that,

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

Substituting the values,

$\sf{CP=\dfrac{100}{(100+20)}\times 3600}$

$\sf{=\dfrac{100}{120}\times 3600}$

$\sf{=100\times 30}$

$\sf{=3000}$

Hence,

• CP of the article = ₹3000

Finding gain, when the article is sold for ₹3150:

As we know that,

• Gain = SP - CP

Substituting the values,

$\sf{\longmapsto3150-3000}$

$\sf{\longmapsto150}$

Finding gain%, when the article is sold for ₹3150:

As we know that,

$\sf{\circ\;Gain\%=\dfrac{Gain}{CP}\times100}$

Substituting the values,

$\sf{Gain\%=\dfrac{150}{3000}\times100}$

Cutting off the zeros,

$\sf{=\dfrac{15\!\!\!\not{0}}{3\!\!\!\not{0}\!\!\!\not{0}\!\!\!\not{0}}\times1\!\!\!\not{0}\!\!\!\not{0}}$

$\sf{=\dfrac{15}{3}}$

Dividing,

$\sf{=5}$

Hence,

• If the article is sold for ₹3150, the gain% will be 5%.