Question

A shopkeeper had 640 fruits (apples and oranges) in the ratio 5 : 3. He sold 100 apples and
some oranges and the ratio changed to 3:2. Find the number of oranges sold.
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Answer 1

Answer:

The answer is:

He sold 40 oranges.

Step-by-step explanation:

• Firstly, when we expand the ratio 5:3 we get 400:240.
• Now we know that he originally had 400 apples and 240 oranges.
• We subtract 100 apples from 400 apples and are left with 300 apples. Now the ratio is 300:x because we don't know the remaining amount of oranges after he sold them. ( x is the amount of oranges he has after selling )
• We cross-multiply the two ratios ( 3:2 and 300:x) and we get:
• $600 = 3x$
• From this equation we get the value of x which is 200.
• Subtract 200 from 240 and we get 40 oranges that were sold.

I hope you found my answer the best and well-explained.