In a sale, all prices are reduced by 20k in the naira. If an article was reduce by N4.75 k, what was the original price?

 

I don't understand this problem. I think I need help.

That seems rather a simple problem. I think you first criteria should say "reduced by 20%" like everything is reduced by 20% in the sale, but the price of a specific item changes by 4.75 k.

What country uses naira?

Thanks to Wikipedia

 

 

The Naira (sign: ₦; code: NGN) is the currency of Nigeria. It is subdivided into 100 Kobo.

Edited October 20, 201411 yr by Robittybob1

Okay, we don't know the original price, when the original price was reduce by 20 k it became N4.75. Right?

Okay, we don't know the original price, when the original price was reduce by 20 k it became N4.75. Right?

Well if you agree that 20 k means "by 20%" that 20% is N4. 75k. If you say to me "it became N4. 75k" , I'd take that to mean that was its final price, so in the OP you say "it was reduce by N4.75 k" . For example if it was N20 and was reduced by 20% its sale price would have been reduced by N4.

So that gives you a clue.

Edited October 20, 201411 yr by Robittybob1

Let x be the original price. N4.75 = 475k

 

x- 475k = ? What do I do next?

If X = the original price

and y = 475

and Y = (20/100) X

Solve for X

 

"x- 475k = ?"

? would be the sale price but you are not asked for the sale price, but you are right in that the sale price plus its reduction adds up to the original price.

X = 2375k = N23.75

But why is Y [math]\frac{20}{100}\times{x}[/math]?

X = 2375k = N23.75

But why is Y =[math]\frac{20}{100}\times{x}[/math]?

Where did you get the 2375k from?

X = y/0.2 = 2375k = N23.75

I think am ready now. Let's finish what we started.

[latex]Price_{sale}=Price_{old} \times \frac{100k-20k}{100k}[/latex]

 

simplify to

 

[latex]Price_{sale}=Price_{old} \times \frac{80}{100}[/latex]

 

 

 

[latex]Reduction = Price_{old}-Price_{sale}[/latex]

 

insert result of first equation

 

[latex]Reduction = Price_{old}-Price_{old} \times \frac{80}{100}[/latex]

 

simplify

 

[latex]Reduction = Price_{old} \times \frac{20}{100}[/latex]

 

from question Reduction = 475k

 

Can you now figure out where these came from and what to do next?