Question

Given CP = Rs.3500, Overhead Expenses = Rs.150 and Loss = Rs.146, then
Loss % = _______
a) 4 b)5 c)3 d) 2

Answer 1

$\large\underline\bold{\mathcal{\orange{ANSWER}} }$

$\rm{\boxed{\sf{ Option:- (a): \:4\: \:is\:correct }}}$

$\rm\underline{\underline{\bold{\pink{\mathfrak{explanation\:in\:detail:-}}}}}$

$\large\underline\bold{GIVEN:-}$

$\dashrightarrow Cost\:price (C.P)= Rs.3500/- \\ \dashrightarrow Overhead\:Expenses(O.E)= Rs.150/- \\ \dashrightarrow Loss=Rs.146 /-$

$\large\underline\bold{\pink{TO\:FIND:-}}$

$\dashrightarrow Loss\: percentage\:.\: \pink{ {}^{\circ}} \purple{\smile} \pink{ {}^{\circ}}$

$\large\underline{\underline\bold{ANSWER:}}$

$\therefore on\:item\:he\:spend\:total\:Money\:will\:be= C.P+O.E \\ \\ \dashrightarrow Total\:cost\:price= 3500+150 \\ \\ \dashrightarrow Total\:Cost\:price= 3650. \\ \\ \rm{\underline{ \red{ \boxed{ \blue{ Total\:cost\:price(c.p)=3650/-}}}}}$

$\therefore Now\: finding\: :- \red{ \underline{ Loss\: \% .}}$

$\\ \\ \rm{\boxed{\underline{ \purple{ Loss\% = \dfrac{ Loss}{ cost\:price} \times 100 }}}}$

$\dashrightarrow Loss\% = \dfrac{ 146}{ 3650} \times 100 \\ \\ :\implies \dfrac{ 146 \times 10\times \cancel{10}}{ 365 \times \cancel{10}} \\ \\ :\implies \dfrac{\cancel{1460}}{ \cancel{365}} \\ \\ :\implies \dfrac{ \cancel{292}}{\cancel{73}} \\ \\ :\implies \red{ \underline{ \green{ Loss\% =4 }}}$

$\rm{\underline{\bold{ \underline{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}}$