6. A potato seller sells 70% of the total potatoes and still has 150 kg potatoes left with him. Find the weight of potatoes he had originally. 7. In Rohan's birthday party, 90% of his friends came and three friends did not come. Find the total number of friends Rohan has.
Answers
Answer:
150 kg
Step-by-step explanation:
Moving ahead with the question in step wise manner;
Let the amount of total potatoes seller initially have =x
According to the question seller had sold out 70% potatoes in total, as we know that there are a total 100% potatoes. So the remaining potatoes that seller has will be the total percent of potatoes subtracted with the percent of potatoes the seller had sold out. So it would be;
100%−70%=30%
So 30% is the percentage of potatoes the seller still has. And according to the question the amount of potatoes the seller still has after selling 70% is 150kg . Which means 30% of ‘x’ is equal to 150kg , i.e.
30% of x=150kg
So as we know that to calculate the percent, we need to divide percent by 100 in order to remove percent sign and replace ‘of’ with multiplication. So we will get;
30% of x=150kg
30100×x=150kg30x100=150kg
As in this equation we have one variable i.e. ‘x’. To find it out just simplify the equation, so we will get;
30x100=150kg30x=15000kgx=15000kg30x=500kg
So we got ‘x’ equal to 500kg
, as ‘x’ is the total amount of potatoes that seller had initially, so we can say that 500kg
is the amount of potatoes the seller had originally.
Hence the answer is 500kg
.
Note: Rather than finding the remaining percent, which we got 30% you can also go with the 70% . But with it there will be a slight change in the equation, as 150kg is the amount of remaining potatoes, so we can write it as when 70% of original amount got sold out then the remaining will be 150kg . So we will get equation
x−70%of‘x′=150kgx−(70100×x)=150kg.
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Step-by-step explanation:
In Rohan's birthday party, 90% of his friends came and three friends did not come. Find the total number of friends Rohan has.