Question

a cow was sold at a price of rs 5600 with a gain of 12 Percent. Find the cp of the cow??​

Answer 1

Given :

• SP = 5600/-
• Gain percentage = 12%

To Find :

• CP = ?

Solution =

$\boxed{ \sf{ \dfrac{sp \times 100}{100 + profit\%} }}$

Substituting the values we get :

$\sf \: \dfrac{5600 \times 100}{100 + 12\%}$

${\sf \: \dfrac{5600 \times \: 100}{112}}$

${\sf \dfrac{560000}{112}}$

$\sf \dfrac{ \cancel{560000}}{ \cancel{112}} \\ \\ \implies { \boxed{\sf 5000}}$

Hence the CP or the Cost Price = 5000/-

There was a gain of 600/- which is 12% of 5000/-

Answer 2

Step-by-step explanation:

Given :

• a cow was sold at a price of rs 5600 with a gain of 12 Percent.

To Find :

• Find the cp of the cow??

Solution :

We know that :

Concept :

• Formula to calculate cost price if selling price and profit percentage are given: CP = ( SP × 100 ) / ( 100 + percentage profit).

• Formula to calculate cost price if selling price and loss percentage are given: CP = ( SP × 100 ) / ( 100 - percentage loss ).

_______________________________

$: \implies \sf \boxed{ \sf \: \: \: \: \: cp = \frac{sp \times 100}{100 + gain\%}}$

Substitute all Values :

$: \implies \sf \: \: \: \: \: \: \: cp = \frac{5600 \times 100}{100 + 12} \: \\ \\ \\ : \implies \sf \: \: \: \: \: \: \: cp = \cancel{\frac{560000}{112}} \\ \\ \\ : \implies \sf \: \: \: \: \: \: \: cp = 5000$

Verification :

$: \implies \sf \: \: \: \: \: \: \: 5000 = \frac{5600 \times 100}{100 + 12} \: \\ \\ \\: \implies \sf \: \: \: \: \: \: \: 5000 \times 112 = 560000 \\ \\ \\: \implies \sf \: \: \: \: \: \: \:560000 = 560000$

• Hence the Cp is 5000