A vegetable vendor purchased 140 kg of tomatoes from the market at the rate of & X per kg. 15% of the
tomatoes got perished during transportation. He sold the remaining tomatoes at a per kg rate of 25% more
than X. If he made a profit of 560, find the value of X.
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Answers
Concept-
First, find the remaining tomatoes , then use these formulas of Selling Price = X + 25 % (X) and Profit = Total sale - Total cost
Given-
Total tomatoes = 140 kg.
Cost price = X per kg.
Total Cost = 140 X
15 % of tomatoes got perished.
Hold the remaining tomatoes at a per kg rate of 25% more than X.
He made a profit of Rs. 560
Find-
Find the value of X.
Solution-
Total tomatoes = 140 kg.
Cost price = X per kg.
Total Cost = 140 X
Now 15 % of tomatoes got perished.
Tomatoes left = 140 - 15 % ( 140 )
Tomatoes left = 140 - 21
Tomatoes left = 119
Selling Price = X + 25 % (X)
Selling Price = X + 0.25 X
Selling Price = 1.25 X
Total sale = 148.75 X
Profit = Total sale - Total cost
⇒ 148.75 X - 140 X = 8.75 X
ATQ:
560 = 8.75 X
X = 64.
Therefore, the value of X is 64.
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