Question : The average weight of apples in a basket is 50 kg. 6 more apples with an average weight of 60 kg are added to the basket. If the average weight of the basket is increased by 5 kg, find the original number of apples in the basket.
Option 1: 4
Option 2: 6
Option 3: 2
Option 4: 8
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Correct Answer: 6
Solution : Let $x$ be the number of apples in the basket originally. Average weight of $x$ apples in a basket = 50 kg The average weight of added 6 apples = 60 kg The average weight of the basket is increased by 5 kg. Final average weight of $(x+6)$ apples = 55 kg So, 55($x+6$) = 50$x$ + 60 × 6 ⇒ 5$x$ = 360 – 330 ⇒ $x$ = 6 Hence, the correct answer is 6.
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