Question

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is

Answer 1

By the rule of alligation,we have

Quantity of 1st part: Quantity of second part =4:6 =2:3

Total given quantity is 1000 kg

so quantity of second part =1000×3/5

=600kg

Answer 2

There is 600 kg of sugar sold at 18% profit.

Step-by-step explanation:

Since we have given that

Profit% on first part = 8%

Profit % on second part = 18%

Gain% on whole part = 14%

Using "Mixture and allegations", we get that

8%                      18%

             14%

-------------------------------------

18-14       :             14- 8

  4          :             6

  2          :             3

Total quantity of sugar = 1000 kg

So, Quantity sold at 18% profit is given by

$\dfrac{3}{5}\times 1000\\\\=3\times 200\\\\=600\ kg$

Hence, there is 600 kg of sugar sold at 18% profit.

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A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity (in kg.) sold at 18% profit is:

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