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Sohan sells sugar at the cost price but uses false weights thus gaining 28% profit. How many grams of sugar is he giving for 3.2 kg sugar?
Question

Sohan sells sugar at the cost price but uses false weights thus gaining 28% profit. How many grams of sugar is he giving for 3.2 kg sugar?

A.

1500

B.

1900

C.

2200

D.

2500

Correct option is D

Given:
Sohan gains a 28% profit by using false weights.
The labeled weight of sugar is 3.2 kg.
Formula Used:
Actual weight=Labeled weight1+Profit Percentage100\text{Actual weight} = \frac{\text{Labeled weight}}{1 + \frac{\text{Profit Percentage}}{100}} ​​​
Solution:
Substituting the values in the formula;
Actual weight=3.2 kg1+28100 =3.21+0.28 =3.21.28= 2.5 kg=2500 grams\text{Actual weight} = \frac{3.2 \text{ kg}}{1 + \frac{28}{100}} \\ \ \\ = \frac{3.2}{1 + 0.28} \\ \ \\ = \frac{3.2}{1.28}= \\ \ \\ 2.5 \text{ kg}= \bf 2500 \text{ grams}​​
Thus, Sohan is giving 2500 grams of sugar for the labeled weight of 3.2 kg.

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