Question

If a saree is sold for Rs 2880 the seller will face 10% loss, at what price (in Rs) should he sell to gain 20% profit?

A) 4830 B) 3840 C) 3480 D) 4380

Answer 1

Sᴏʟᴜᴛɪᴏɴ :-

→ SP = Rs.2880

→ Loss % = 10% .

→ CP = SP * 100 / (100 - Loss%)

→ CP = (2880 * 100) / (100 - 10)

→ CP = (2880 * 100) / 90

→ CP = Rs.3200

Now,

→ CP = Rs.3200

→ Gain % = 20%

→ SP = {CP * (100 + Gain%)} / 100

→ SP = {3200 * (100 + 20)} / 100

→ SP = 32 * 120

→ SP = Rs.3840 . (B) (Ans.)

________________________

Direct :-

→ Final SP = initial SP * {100/(100 - Loss%)} * {(100 + Profit%)/100}

→ Final SP = initial SP * (100 + Profit%) / (100 - Loss%)

→ Final SP = 2880 * (120/90)

→ Final SP = Rs.3840 (Ans.)

___________________________

Answer 2

${ \huge{ \bold{ \underline{ \underline{ \blue{ Question:-}}}}}}$



▪ If a Saree is sold for Rs. 2880 the seller will face 10% loss, at what price ( in Rs.) should he sell to gain 20% profit??



${ \bold{ \huge{ \underline{ \underline{ \blue{ Solution:-}}}}}}$



${ \bold{ \purple{GIVEN- }}}$



✿ Selling Price ( S.P.) = Rs. 2880



✿ loss = 10%



${ \bold{ \purple{TO \: FIND- }}}$




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



⇛ Cost price (C.P. )



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



${ \bold{ C.P. = \frac{2880 \times 100}{(100 - 10)}}}$



${ \bold{ \implies{C.P. = \frac{2880 \times 100}{90}}}}$



${ \bold{ \implies{ \red{C .P. = Rs. \: 3200}}}}$



now,



✿ Cost price (C.P. ) = Rs. 3200



✿ Gain = 20%



⇛ Selling Price (S.P .)



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



${ \bold{S.P. = \frac{3200}{100} (100 + 20)}}$



${ \bold{ \implies{S.P. = 32 \times 120}}}$



${ \boxed{ \bold{ \implies{ \red{s.p. = Rs. \: 3840}}}}}$



therefore,



in order to gain 20% profit, he should sell the Saree at Rs. 3840



hence, option (b) is correct..