Question 42

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 ?

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 %

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