*A shopkeeper sold 11/15 of the total number of oranges which he had in his shop and now he is left with 124 oranges. Find the number of oranges he had sold.*
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Answer:
Given that 11/15 of the total number of oranges were sold. The remaining number of oranges is 124. We are required to know the number of oranges that were sold.
Let us assume the total number of oranges present initially to be 'x'.
If 11/15 of x were sold, then the number of oranges not sold is given as:
⇒ Number of Oranges not sold = x - 11/15 of x
⇒ 124 = (15x - 11x)/15
⇒ 124 = 4x/15
Transposing unknown and known terms to one side we get:
⇒ x = (124 × 15)/4
⇒ x = 1860/4
⇒ x = 465
Hence the total number of oranges present were 465, out of which 124 were not sold.
Hence the number of oranges sold are:
⇒ Number of oranges sold = 465 - 124
⇒ Number of oranges sold = 341 oranges
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