Question

A merchant has 2000 kg of sugar, part of
which he sells at 5% profit and the rest af
15% profit. He
gains 8% on the whole. The
quantity sold out at 15% profit is:​

Answer 1

profit is (15/100 × 2000 ) ÷18/ 100

300÷ 18/ 100

the answer is 1666

Thank you

Answer 2

The amount of sugar sold at 15 % profit is 600 kg.

GIVEN

Total weight of Sugar = 2000 Kg

Profit 1 = 5%

Profit 2 = 15%

Total profit on whole = 8%.

TO FIND

Quantity of sugar sold at 15% profit.

SOLUTION

We can simply solve the above problem as follows -

It is given,

Total Amount of the Sugar = 2000 kg

% Profit at which one part of the sugar is sold = 5.

%profit at which another part of the sugar is sold = 15

Mean profit % at which the mixture of both is sold = 8

Using the rule of allegation -

When different quantities of different substances are mixed in order to produce a mixture of mean values, The ratio of their quantities is equal to the difference between their original value and mean value.

Therefore,

Amount of sugar sold at 5% profit/Amount of sugar sold at 15% profit

= 15-8/8-5

= 7/3.

We can say that 7 parts of sugar that is sold at 5% profit should be mixed with 3 parts of sugar which is sold at 15% profit in order to sell the mixture of sugar at 8% profit.

So,

Amount of sugar at 15% profit = (3/7+3) × 2000

= (3/10)× 2000

= 600 kg

Hence, The amount of sugar sold at 15 % profit is 600 kg.

#Spj2

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