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

Step-by-step explanation:

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}

C.P

S.P−C.P

× 100

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

C.P

1296−C.P

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

C.P

1296

- 1

or, \dfrac{1296}{C.P}

C.P

1296

= 1 + 0.08

Or, \dfrac{1296}{C.P}

C.P

1296

= 1.08

∴ C.P = \dfrac{1296}{1.08}

1.08

1296

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}

C.P

C.P−s.p

× 100

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

C.P

s.p

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

1200

s.p

or, \dfrac{s.p}{1200}

1200

s.p

= 1 - 0.05

Or, \dfrac{s.p}{1200}

1200

s.p

= 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:

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

Step-by-step explanation:

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