Question

1.) The marked price of a pack of a juices is 1840 but ashopkeeper gives a small pack of juice costing 80free with it. By doing so, he still gains 10%. Find the cost price of a pack of juice.​

Answer 1

Selling price of a pack of juice = 1840

Cost of a small pack of juice =80 (sold for free)

Percentage of profit gained =10%

As the small pack of juice was sold for free, it's cost will be added to the cost price of the pack of juice.

We know that :-

$\bold{CP = \frac{100 \: \times \: SP}{100 \: + \: profit} }$

Then :-

Let cost price be x.

The cost price of this pack of juice= x+80

Which means :-

The cost price of this pack of juice :-

$= x + 80 = \frac{100 \times 1840}{100 + 10}$

$= x + 80 = \frac{184000}{110}$

$= x + 80 = \frac{18400\cancel0}{11\cancel0}$

$= x + 80 = \frac{18400}{11}$

$= x + 80 = 1672.72$

$= x = 1672.72 - 80$

$= x =\bold{ 1592.72}$

Thus, the cost price = 1592.72

Therefore, the cost price of a pack of juice = 1592.72