Question

if a shopkeeper sells some plastic chairs for $ 1296,he will make a profit of 8%.But he sells them at a loss of 5%. What is his selling price

Answer 1

Given :

The selling price of chairs = $1296

The profit percentage = 8%

The loss percentage = 5%

To Find:

The selling price of chair at loss percentage

Solution:

let the selling price = S.P

Let The cost price= C.P

∵ profit percentage = $\dfrac{S.P-C.P}{C.P}$ × 100

Or,                          8% = $\dfrac{1296-C.P}{C.P}$

Or,                          0.08 = $\dfrac{1296}{C.P}$ - 1

or,                          $\dfrac{1296}{C.P}$ = 1 + 0.08

Or,                         $\dfrac{1296}{C.P}$ = 1.08

∴                            C.P = $\dfrac{1296}{1.08}$

i.e Cost price of chair = C.P = $ 1200

Again

Let the new selling price of chair at loss percentage = s.p

∵  Loss percentage = $\dfrac{C.P-s.p}{C.P}$ × 100

Or,                          5% = 1 - $\dfrac{s.p}{C.P}$

Or,                          0.05 = 1 - $\dfrac{s.p}{1200}$

or,                           $\dfrac{s.p}{1200}$ = 1 - 0.05

Or,                          $\dfrac{s.p}{1200}$ = 0.95

i.e                            s.p = 0.95 × 1200

Or,                           s.p = $1140

Hence, The selling price of chair at its loss percentage is            $ 1140 . Answer

Answer 2

Answer:

Answer is 1140.......