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By not knowing how to work this out?

7 replies

Luxurybags · 19/08/2024 17:46

Any maths whizzes on here?

I have 50 units of one thing and 10 units of another thing. The 10 units are 65% more expensive than the 50 units.

I have £50,000 to increase across all 60 units but the cost must be taking into account that the 10 units are more expensive so need a higher increase.

What formula do I need to use?

OP posts:
bridgetreilly · 19/08/2024 17:49

X is the cost of the 50 unit thing.

50x + 16.5x = 50000

so x = 50000/66.5

then the 10 unit thing is 1.65x.

bridgetreilly · 19/08/2024 17:52

It comes to £750 and £1240, approximately.

Luxurybags · 19/08/2024 18:06

bridgetreilly · 19/08/2024 17:49

X is the cost of the 50 unit thing.

50x + 16.5x = 50000

so x = 50000/66.5

then the 10 unit thing is 1.65x.

Thank you so much for posting, but I'm still not getting it.
Can you break down your calculations as I make 50 + 16.5 = 66.50 not 50,000 and how do you get to 1.65?
How much is the unit increase for the 10 units?

OP posts:
bridgetreilly · 19/08/2024 18:11

65% = 0.65
The cost of the higher item is 100% of the other plus another 65%, which is 1.65

So then if x is the amount you’ll increase the lower price by, 1.65x is the amount you’ll raise the higher price by.

The total will be 50 units at x and 10 units at 1.65x. You need the total to be 50000.

Put this in an equation:

50x + 16.5x = 50000

Do algebra

66.5x = 50000

x= 50000/66.5= about 750.

So you increase the lower price by £750.

You increase the higher price by 1.65x which is 1.65 x 750, which is £1240.

Merryoldgoat · 19/08/2024 18:18

Are 10 units of thing 2 65% more than 50 of thing 1?

Merryoldgoat · 19/08/2024 18:25

bridgetreilly · 19/08/2024 17:49

X is the cost of the 50 unit thing.

50x + 16.5x = 50000

so x = 50000/66.5

then the 10 unit thing is 1.65x.

Surely if second item is 65 % more then it’s the first item that should be multiplied?

Merryoldgoat · 19/08/2024 18:31

Luxurybags · 19/08/2024 17:46

Any maths whizzes on here?

I have 50 units of one thing and 10 units of another thing. The 10 units are 65% more expensive than the 50 units.

I have £50,000 to increase across all 60 units but the cost must be taking into account that the 10 units are more expensive so need a higher increase.

What formula do I need to use?

Could you post the actual worded problem? There are a few ambiguities in your post.

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