Question

The loss suffered by a flower girl when she sells 25 flowers is equal to the selling price of 5 flowers . Find her loss percentage.​

Answer 1

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

Given that,

The loss suffered, when she sells 25 flowers at the selling price of 5 flowers.

So, it means

Selling Price of 5 flowers = Loss of selling 25 flowers

It implies,

Selling Price of 5 flowers = Cost Price of 25 flowers - Selling Price of 25 flowers.

So,

Selling Price of 30 flowers = Cost Price of 25 flowers.

Let assume that

Cost Price of 1 flower = Rs x

Cost price of 25 flowers = Rs 25x

Cost Price of 30 flowers = Rs 30x

Now, We have

Selling Price of 30 flowers = Cost Price of 25 flowers.

It means, we have

Cost price = Rs 30x

Selling Price = Rs 25x

We know,

Loss = Cost Price - Selling Price

Loss = 30x - 25x = 5x

Now, We know

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

So, on substituting the values, we get

$\rm \: Loss \: \% \: = \: \dfrac{5x}{30x} \times 100 \: \%$

$\rm \: Loss \: \% \: = \: \dfrac{1}{6} \times 100 \: \%$

$\rm \: Loss \: \% \: = \: \dfrac{1}{3} \times 50 \: \%$

$\rm\implies \:\rm \: Loss \: \% \: = \: \dfrac{50}{3} \: \%$

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

Answer 2

Given Data :

The loss suffered, when she sells 25 flowers at the selling price of 5 flowers.

then,

Selling Price of 5 flowers = Loss of selling 25 flowers

It means,

Selling Price of 5 flowers = Cost Price of 25 flowers - Selling Price of 25 flowers.

So,

Selling Price of 30 flowers = Cost Price of 25 flowers.

Let us assume that,

Cost Price of 1 flower = Rs.x

Cost price of 25 flowers = Rs.25x

Cost Price of 30 flowers = Rs.30x

Now, We get

Selling Price of 30 flowers = Cost Price of 25 flowers.

It means,

Cost price = Rs 30x

Selling Price = Rs 25x

We know,

Loss = Cost Price - Selling Price

Loss = 30x - 25x = 5x

By using,

Loss% = Loss/C.P × 100

⇒ 5x/30x × 100

⇒ (⅙)100

⇒ 50/3%