Question

what is the gain or loss% when S.P.=rs235, C.P.= rs219​

Answer 1

Answer:

C.P.=Rs.200 and S.P.=Rs.224

∴ Gain = S.P. − C.P.

= Rs. 224– Rs 200

= Rs. 24

Gain %=C.P(gain×100).

=200(24×100)

=12%

Answer 2

Required Solution:

${\underline {\boxed {\Large {\rm {Gain \: \% = 7.5 \: \% } }}}}$

Given:

• S.P = Rs 235

• C.P = Rs 219

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To calculate:

• Gain or loss %

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Procedure:

• Here, as we are given that S.P and C.P , so to find gain or loss %, we have to find whether here is gain or loss.

• In order to calculate gain or loss, we'll compare C.P and S.P. If S.P is greater thar there is gain, if C.P is greater thar there is loss.

• And then we'll find the gain or loss % by the given formula:

If there is gain : $\rm { Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%}$

If there is loss : $\rm { Loss \: \% = \Bigg( \dfrac{Loss}{C.P} \times 100 \Bigg)\%}$

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Solution :

• S.P = Rs 235

• C.P = Rs 219

•›» Since, S.P is greater than C.P. Thus, there is gain. We know that :

★ $\boxed{\sf{Gain = S.P – C.P}}$

→ Gain = Rs (235 - 219)

→ Gain = Rs 16

Clearly, there is gain or Rs 16. Now, we have to find the rate of gain i.e gain% . So, we know that :

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

→ $\sf { Gain \: \% = \Bigg( \dfrac{16}{219} \times 100 \Bigg)\%}$

→ $\sf { Gain \: \% = \Bigg( 0.073 \times 100 \Bigg)\%}$

→ $\sf { Gain \: \% = \Bigg( \dfrac{73}{1000} \times 100 \Bigg)\%}$

→ $\sf { Gain \: \% = ( \dfrac{73}{10} ) \%}$

→ $\sf \red { Gain \: \% = 7.3 \: \%}$

Therefore, gain % is 7.3%.

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Extra Information:

$\small\boxed{ \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{ S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array} }$