Question

Sheenu imported 20000 mobile from China at discount of 15% on marked price .Out of these 20% of the mobiles were damage in transmit. If the selling price of the undamaged mobile is a 15% more than the cost price then the profit or loss percentage of the total sales

Answer 1

Answer:

Step-by-step explanation:

Sale price= 16000 rs

Profit= 4000 rs

WORKING

Sales= 20,000/100*80

        = 16000

Profit= 20,000/100*20

       = 4000

Answer 2

Answer:

Profit of 41.18%

Step-by-step explanation:

Given,

Total number of mobiles = 20,000

Suppose x be the price of each mobile,

Discount percentage = 15%

So, the cost price of each mobile = (100-15)% of x = 85% of x = 0.85x

Thus, the total cost price = 20,000 × 0.85x = 17000x

Now, damaged mobiles = 20% of 20,000 = 0.2 × 20000 = 4000,

Remaining mobiles = 20,000 - 4000 = 16000

Selling price of each mobile = 15% more than actual price = 15% of x

= 1.5x

Thus, total selling cost = 16000 × 1.5x = 24000x

Hence, change percentage

= $\frac{SP-CP}{CP}\times 100$

$=\frac{24000x - 17000x}{17000x}\times 100$

$=\frac{7000}{17000}\times 100$

$=\frac{700}{17}$

≈ 41.18 %

Hence, there is a profit of 41.18%

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