Question

18. If Selling Price Of 10 Articles is equal to cost price Of 15 Articles. then find Loss or gain%? (a) 50% gain (B) 50 % loss c)33.3%gain d) 33.3 % Loss​

Answer 1

Answer:

C

Step-by-step explanation:

15=100

5=?

=> 5.100/15

=>33.3% gain

Answer 2

$\large\underline{\sf{Solution-}}$

Given that

• Selling Price of 10 articles is equal to Cost Price of 15 articles.

Let assume that

• Cost price of 1 article be Rs x

So,

• Cost Price of 15 articles = Rs 15x

Since, it is given that

Selling Price of 10 articles is equal to Cost Price of 15 articles.

Selling Price of 10 articles = Rs 15x

Now, We have

Cost Price of 10 articles = Rs 10x

Selling Price of 10 articles = Rs 15x

It means, Selling Price > Cost Price

It implies, there is Profit in this transaction.

Thus,

$\red{\rm :\longmapsto\:Profit = Selling Price - Cost Price}$

$\rm :\longmapsto\:Profit = 15x - 10x$

$\bf\implies \:Profit = 5x$

Now, We know

$\red{\boxed{\tt{ Profit \: \% \: = \: \frac{Profit}{Cost Price} \times 100 \: \% \: }}}$

So, on substituting the values, we get

$\rm :\longmapsto\:Profit \: \% \: = \: \dfrac{5x}{10x} \times 100 \: \%$

$\bf\implies \:Profit \: \% \: = \: 50 \: \%$

So, Option (a) is correct

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$\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{(100+Gain\%) or(100-Loss\%)}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}$