Question

A vegetable vendor sells carrots. He sold 50% of the carrots he had in the morning. Of the remaining, 75% was sold
in the evening and he still was left with 16.25 kg with him at the end of the day. What was the quantity of carrots he
had in the morning?
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Answer 1

Given,

He sold 50% carrots in the morning.

75% of the remaining carrots were sold later.

Final remaining amount = 16.25 kg

To find,

Total amount of carrot in the morning.

Solution,

Let, the total carrot = x kg

Remaining carrots after morning = x- (x×50/100) = x-x/2 = x/2 kg

Final remaining carrots = x/2 - (x/2 × 75/100) = x/2 - (x/2×3/4) = x/2 - 3x/8 = 4x-3x/8 = x/8 kg

According to the data mentioned in the question,

x/8 = 16.25

x = 130

Hence, the total amount of carrots is 130 kg.