Question

on selling an article for Rs 2640 a profit of 10% is made . find the cost price of the article and the new SP in order to gain 15%

Answer 1

Selling Price = Rs 2640

Find the percentage of the selling price:

100 + 10 = 110%

Find the cost price:

110% = 2640

1% = 2640 ÷ 110 = Rs 24

100% = 24 x 100 = Rs 2400

Find the new Selling Price:

15% gain = 0.15 x 2400 = Rs 360

New Selling Price = 2400 + 360 = Rs 2760

Answer: The cost price is Rs 2400 and the new selling price is Rs 2760

Answer 2

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Given

☞1st case

SP of the article= RS.2640

Gain= 10%

$CP = \frac{SP \times 100}{100 + gain\%}$

$= Rs( \frac{2640 \times 100}{100 + 10} ) \\ \\ = Rs( \frac{264000}{110}) \\ \\ = Rs \: 2400$

➠So CP = Rs.2400

☞2nd case

Gain = 15%

$SP = \frac{CP (100 + gain\%)}{100} \\ \\ = Rs \frac{2400(100 + 15)}{100} \\ \\ = Rs( \frac{2400 \times 115}{100} )\\ \\ = Rs \: 2760$

➠New SP= 2760

✪Thank you✪

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