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A person sells half of his goods at 20% profit and remaining half at 30% profit. What is his overall gain per cent in the whole transaction…

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A person sells half of his goods at 20% profit and remaining half at 30% profit. What is his overall gain per cent in the whole transaction ?
  • A30%
  • B25%
  • C50%
  • D35%
Answer not set
0
CCommunity
Solution
Let the person has 2 goods and cost price of each good = Rs. 100
=> Total C.P. = Rs. 200
S.P. of 1st good = $\frac{120}{100} \times 100$ = Rs. 120
S.P. of 2nd good = $\frac{130}{100} \times 100$ = Rs. 130
=> Total S.P. = 120 + 130 = Rs. 250
$\therefore$ Overall profit % = $\frac{250 - 200}{200} \times 100$ = 25 %
0
CCommunity
Solution
Let the person has 2 goods and cost price of each good = Rs. 100
=> Total C.P. = Rs. 200
S.P. of 1st good = $\frac{120}{100} \times 100$ = Rs. 120
S.P. of 2nd good = $\frac{130}{100} \times 100$ = Rs. 130
=> Total S.P. = 120 + 130 = Rs. 250
$\therefore$ Overall profit % = $\frac{250 - 200}{200} \times 100$ = 25 %