Question

Article is marked 20% above cost price If the shopkeeper has offered in discount of 12% on it find his gain or loss percent

Answer 1

Answer:

There was a gain of 5.6%.

Step-by-step explanation:

Let C be the cost price, M the marked price and S the selling price.

Marked 20% above cost price

=> M = C + 20% of C = C + 0.2×C = (1 + 0.2)×C = 1.2×C.

Sold at discount of 12%

=> S = M - 12% of M = M - 0.12×M = (1 - 0.12)×M = 0.88×M

=> S = 0.88 × ( 1.2×C )

      = (0.88 × 1.2) × C

      = 1.056 × C

      = ( 1 + 0.056 ) × C

      = C + 0.056×C

      = C + 5.6% of C

So the selling price was 5.6% above the cost price.

There was a gain of 5.6%.

Answer 2

let the cp = ₹ 100

marked price = ₹100+₹20

Discount = ₹12/100x120=75/5=14.40

Spelling price= ₹120-₹14.40=₹105.60

Gain =₹105.60-₹100=₹5.60

Gain %= 5.60/100x100=5.6%

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