Question

By selling a toy for rupees 25, a man gains 25%. Find the cost price of the toy.

Answer 1

Answer:

Cost Price is ₹20

Step-by-step explanation:

SP = 25

Gain% = 25

let CP be x

So, we have equation,

x + 25% of x = 25

x + 25/100 × x = 25

x + x/4 = 25

5x/4 = 25

x = 100/5

x = 20

So, cost price is Rs 20

Answer 2

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

Given that,

By selling a toy for rupees 25, a man gains 25%.

It means, we have

Selling Price = 25

Gain % = 25 %

We know,

$\boxed{ \rm{ \:Cost \: Price \: = \: \frac{100 \times Selling \: Price}{100 + Gain\%} \: \: }}$

So, on substituting the values, we get

$\rm \: \: Cost \: Price \: = \: \dfrac{100 \times 25}{100 + 25}$

$\rm \: \: Cost \: Price \: = \: \dfrac{2500}{125}$

$\rm\implies \:Cost \: Price \: = \: 20$

$\rule{190pt}{2pt}$

Additional Information :-

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