Question

A dealer purchaseda sofa set for 25,500. He allows a discount of 14% on its marked price and gains 8%.Find the marked price of the sofa set​

Answer 1

Sᴏʟᴜᴛɪᴏɴ :-

→ CP = Rs.25500

→ Gain% = 8%

→ SP = {CP * (100 + gain%)}/100

→ SP = { 25500 * (100 + 8) }/100

→ SP = (25500 * 108)/100

→ SP = 255 * 108

→ SP = Rs.27540

Now,

→ SP = Rs.27540

→ Discount% = 14%

→ MP = (SP * 100) / (100 - Discount%)

→ MP = (27540 * 100) / (100 - 14)

→ MP = (27540 * 100) / 86

→ MP ≈ Rs.32023.

Hence, Marked Price of sofa set is Rs.32023.

__________________

Direct Formula :-

• MP = CP(100 + Gain%)/(100 - Discount%)

→ MP = 25500 * (100 + 8) / (100 - 14)

→ MP = (25500 * 108)/86

→ MP ≈ Rs.32023. (Ans.)

____________________________

Answer 2

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



▪ A dealer purchased sofa set for Rs.25,500. He allows a discount of 14% on its marked price and gains 8% . Find the marked price of the sofa set.



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



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



➭ Cost price (C.P.) of sofa set = Rs.25,500



➭ Discount = 14 %



➭ Gain = 8 %



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



➭ Marked price of the sofa set???



⛦ Selling Price ( S.P.)....



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



${ \bold{S.P. = \frac{25500}{100}(100 + 8)}}$



S.P. = Rs.(255×108)



Selling Price ( S.P.) = Rs. 27,540



⛦ Marked Price (M.P.)..



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



${ \bold{M.P. = \frac{27540 \times 100}{(100 - 14)}}}$



${ \bold{ \implies{M.P. = \frac{27540 \times 100}{86}}}}$



${ \boxed{ \boxed{ \bold{ \implies{ \red{M.P. = Rs. \: 32023.25}}}}}}$