Question

ravi purchased two articles for ₹1500 each. he sold them, gaining 6 % on one article and losing 4% on the other. his gain /loss % in the whole transaction is?​

Answer 1

formula c.p = 100÷100+ gain × s.p

Answer 2

His gain% in whole transaction is 1%

Step-by-step explanation:

Case 1:

CP of 1 article = 1500

Gain = 6%

$SP=\frac{CP(100+P\%)}{100}\\SP = \frac{1500(100+6)}{100}\\SP=1590$

Case 2:

CP of 1 article = 1500

Loss=4%

$SP=\frac{CP(100-L\%)}{100}\\SP = \frac{1500(100-4)}{100}\\SP=1440$

Total CP = 1500+1500=3000

Total SP = 1590+1440=3030

SP>CP

So, Profit

$Profit\% = \frac{SP-CP}{CP} \times 100\\Profit\%=\frac{3030-3000}{3000} \times 100\\Profit\%=1\%$

Hence His gain% in whole transaction is 1%

#Learn more :

Sold two articles at rupees 840 on Varshi gains 20% and on the other He loses 20% How much does she gain or loss in the whole transaction also find the gain or loss percent in the whole transaction​

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