Question

by selling an article for rupees 1,000 a man losses 30% at what price should he sell it in order to gain 20%​

Answer 1

Sᴏʟᴜᴛɪᴏɴ :-

case ❶ :-

→ SP = Rs.1000

→ Loss % = 30 %

→ CP = (SP * 100) / (100 - Loss%)

→ CP = (1000 * 100) / (100 - 30)

→ CP = Rs.{(1000 * 100) / 70}

Now,

case ❷ :-

→ CP = Rs.{(1000 * 100) / 70}

→ Gain % = 20%

→ SP = {CP * (100 + Gain%)}/100

→ SP = {(1000 * 100) / 70} * (100 + 20)/100

→ SP = {(1000 * 100 * 120) / (100 * 70)}

→ SP = (100 * 120 / 7)

→ SP = (12000)/7

→ SP ≈ Rs.1714.28 (Ans.)

Answer 2

.
${ \huge{ \underline { \underline{ \mathfrak{ \red{Question:-}}}}}}$

▪ By selling an article for Rs. 1,000 a man losses 30% . at what price should he sell it in order to gain 20%??

${ \huge{ \underline{ \underline{ \mathfrak{ \red{ S olution:-}}}}}}$

${ \orange{ \bold{ \underline{ Given:-}}}}$

▪ If the selling price( S.P.) of the article = Rs. 1,000

loss = 30 %

▪ cost price ( C.P.) -

${ \boxed{ \bold{ \red{C .P . = \frac{S .P . \times 100}{(100-loss \:prcnt)} }}}}$

${ \bold{ \implies{C .P. = \frac{1000 \times 100}{(100 - 30)}}}}$

${ \bold{ \implies{C .P. = \frac{1000 \times 100}{70} }}}$

${ \bold{ \implies{ \pink{C .P. =Rs . \frac{10000}{7} }}}}$

${ \orange{ \bold{ \underline{To \: find:-}}}}$

▪ The selling price at which he gains 20%???



${ \bold{Cost \: Price(C.P. )= Rs . \frac{10000}{7} }}$

▪ gain = 20%

▪ selling price ( S.P.) -

${ \boxed{ \bold{ \red{S .P. = \frac{C .P.}{100} \times (100 + gain \:prcnt)}}}}$

${ \bold{ \implies{S .P . = \frac{10000}{7 \times 100} \times (100 + 20)}}}$

${ \bold{ \implies{S .P . = \frac{100}{7} \times 120}}}$

${ \bold{ \implies{ \pink{S .P. = Rs .1714.28}}}}$

therefore,

in order to gain 20%,

the man should sell the article at Rs. 1714.28