A dealer bought 80 cricket bats for ₹ 50 each. He sells 20 of them at a gain of 5%. What must be the gain percentage of the remaining bats, so as to get 10% gain on the whole?

32/11%
121/2%
112/3%
₹ 3350

Correct Answer: 112/3%

Explanation:

Let required percentage profit = N%
According to the question,
10% of (80 x 50) = 5% of (20 x 50) + N% of (60 x 50)
⇒ (80 x 50 x 10)/100 = [(20 x 50 x 5)/100] + (60 x 50 x N)/100
⇒ 80 = 10 + 6N
⇒ N = 70/6 = 11²/₃%

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