A merchant bought 125kg of potatoes at rs 25 per kg. if 5 kg of potatoes were bad, at which price per kg must he sell the good potatoes to make a gross profit of 20% on the total cost? (with step by step solution)
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rs 31.25/kg

Step-by-step explanation:

He paid rs 25 per kg.

He bought 125 kg.

First, we find out the amount he paid.

total cost = unit cost * weight

total cost = (rs 25)/kg * 125 kg

total cost = rs 3125

He spent a total of rs 3125 buying the 125 kg of potatoes.

He wants to make a 20% profit on his cost, so the profit is

20% * rs 3125 =

= 0.2 * rs 3125

= rs 625

The amount of profit he wants is rs 625.

He must add the profit to his cost to calculate the total selling price.

rs 3125 + rs 625 = rs 3750

He must sell all the good potatoes for a total of rs 3750.

5 kg of potatoes were bad.

125 kg  5 kg = 120 kg

He can only sell 120 kg of good potatoes.

Now we calculate the selling price per kg.

(rs 3750)/(120 kg) = rs 31.25/kg

rs 31.25/kg

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

step-by-step explanation: