Question

If an article is sold for ₹2500 at profit of 12% , find cp​

Answer 1

Given Information:

• SP of the article = ₹ 2500

• Profit % = 12 %

Solution:

Here, we have to just apply the given formula in order to calculate cost price of the article.

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

Inserting values, we get :

$\sf {\longrightarrow CP =\dfrac{100}{100+12} \times 2500}$

$\sf {\longrightarrow CP =\dfrac{100}{112} \times 2500}$

$\sf {\longrightarrow CP =\dfrac{250000}{112} }$

$\sf {\longrightarrow CP =\dfrac{125000}{56} }$

$\sf {\longrightarrow CP =\dfrac{62500}{28} }$

$\sf {\longrightarrow CP =\dfrac{31250}{14} }$

$\longrightarrow$ $\boxed {\sf\red { CP =\dfrac{15625}{7} }}$

Therefore,

• CP is 15625/7

More formulae :

Gain = S.P – C.P

Loss = C.P – S.P

• $\sf { Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%}$

• $\sf { Loss \: \% = \Bigg( \dfrac{Loss}{C.P} \times 100 \Bigg)\%}$

• $\sf { S.P = \dfrac{100+Gain\%}{100} \times C.P}$

• $\sf { C.P =\dfrac{100}{100+Gain\%} \times S.P}$

• $\sf { S.P = \dfrac{100-loss\%}{100} \times C.P}$

• $\sf { C.P =\dfrac{100}{100-loss\%} \times S.P}$