Question

3. If SP of five pens is equal to the cast
four pens, then find the loss ou gains
to price of​

Answer 1

Question :-

If SP of five pens is equal to the cost

four pens, then find the loss or gain percent.

Solution :-

Let the price of each pen be Rs x.

Then , CP of five pens = Rs 5x

and SP of five pens = Cost of four pens = Rs 4x

Thus, CP = Rs 5x and SP = Rs 4x.

∵ CP>SP, there is a loss.

Finding loss :-

$\tt{\bigstar{Loss=CP-SP}}$

$:\implies {\sf {Loss=CP-SP}}\\ \\ :\implies {\sf {Loss=Rs\:(5x-4x)}} \\ \\ :\implies{\boxed {\sf {Loss=Rs\:x}}}$

Finding loss% :-

$\tt{\bigstar{Loss\%=( \dfrac{Loss}{CP} \times 100)\%}}$

$: \implies {\sf{Loss\%=( \dfrac{Loss}{CP} \times 100)\%}} \\ \\ : \implies {\sf{Loss\%=( \dfrac{x}{5x} \times 100)\%}} \\ \\ : \implies{\boxed {\sf{Loss\%=20\%}}}$

$\therefore{\bf {Loss\%=20\%}}$

Answer 2

GIVEN:

• The S.P of five pens is equal to the C.P of four pens

TO FIND:

• Loss or gain ?

SOLUTION:

$\bf \: Let \: the \: c.p \: of \: 1 \: pen \: be \: rs \: .x \\ \bf \: \therefore \: The \: c.p \: of \: four \: pen \: = \: x \: \times \: 4 = 4x$

A.T.Q:

$\rm \: S.P \: of \: 5 \: pens = C.P \: of \: 4 \: pens \: \\ \rm \: \therefore \: S.P \: of \: 5 \: pens = \: 4x \\ \\ \rm \bigstar \: S.P \: of \: 5 \: pens \: 4x \\ \rm \bigstar \: C.P \: of \: 45 \: pens = \: 4x \: + x = 5x$

$\bf \: \therefore \: S.P < C.P$

$\rm \: Loss = C.P - S.P \\ </p><p> \rm \: Loss = 5x - 4x \\ </p><p> \bf \: Loss = Rs \: x \\ \\ \bf \: \bigstar \: Loss\% = \: \frac{loss}{c.p} \: \times 100\%</p><p>$

$\implies \bf \: Loss \%= \frac{x}{5x} \times 100\% \\ \\ \implies \: \bf \: Loss\% \: = 20\%$