Question

Find the cost price (using formula) when SP = Rs 1596 and gain% = 12%

Answer 1

Required Answer :

Given:

• SP = Rs 1596

• Gain % = 12 %

To calculate:

• CP = ?

Calculation:

We know that,

$\rm { \qquad \bullet C.P =\dfrac{100}{100+Gain\%} \times S.P}$

$\rm {\longrightarrow C.P =\dfrac{100}{100+ 12} \times 1596}$

$\rm { \longrightarrow C.P =\dfrac{100 \times 1596}{112} }$

$\rm { \longrightarrow C.P =\dfrac{159600}{112} }$

(Canceling the denominator and numerator by 2. )

$\rm {\longrightarrow C.P =\dfrac{79800}{56} }$

(Canceling the denominator and numerator by 7. )

$\rm { \longrightarrow C.P =\dfrac{11400}{8} }$

(Canceling the denominator and numerator by 8. )

$\rm \red{ \longrightarrow C.P =Rs \: 1425}$

Therefore, cost price is Rs 1425.

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More formulae:

• Gain = S.P – C.P
• Loss = C.P – S.P

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

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

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

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

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

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

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