Quant Question of the Day Chat

Problem Solving Butler: February 2023
March 26	PS 1	PS 2

Yes, I was wrong to do that. I often get confused by the language team eGmat use in their questions.

A car dealership recently increased the average pre-tax price of its cars by $2,500. As a result, a customer purchasing 18 cars at the old after-tax price can now afford to buy only 15 cars. If the local sales tax is 8%, what is the new average after-tax price of the dealer’s cars in dollars?

Options

10,800
12,500
13,500
16,200
16,750

16200 is the original answer

18x = 15 ( x+ 2500)
x= 12,500
Increased by 2500, 12,500+ 2500= 15,000.
After tax price, 15,000 X 1.08= 16,200.

Earlier I forgot to add 2500.

­Assuming the new pre-tax price of a car is x, the old pre-tax price of the car is x - 2,500.

The price of 15 cars at the new price after tax is 15x*1.08;
The price of 18 cars at the old price after tax is 18(x - 2,500)*1.08.

So, we have:

15x*1.08 = 18(x - 2,500)*1.08
x = 15,000

The new after-tax price is thus 15,000*1.08 = 16,200.

Answer: D.

Alternatively, you can directly deduce that the price of 3 extra cars, so 3x, must be equal to the total increase in price between 15 and 18 cars, which would be 18*2,500.

3x = 18*2,500
x = 15,000

The new after-tax price is thus 15,000*1.08 = 16,200.

Answer: D.

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Hope it helps.­

the linear equation,y=-5x+2,defines y as a fucntion of x for all integers x.If standard devaiton of x valyes is 1, what is the standard deviaiton of the y values correspoding to all the x values

can anyone solve this?

no

5

standard deviation is never negative

Check out this fresh Arithmetic question from GMAT Club Tests:

https://gmatclub.com/forum/if-s-is-the- ... 27837.html

Data Sufficiency Butler: March 2024
March 27	DS 1	DS 2

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Problem Solving Butler: February 2023
March 27	PS 1	PS 2

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A invested a total of $33000 in two accounts A&B with annual interest rates of 5% and 3% respectively. For the first year the interest earned by Account A was twice the interest earned by Account B. What was the total interest earned by the 2 accounts for the first year?


Can anyone help with the solution for this problem please

­
Discussed here:

https://gmatclub.com/forum/alfredo-inve ... 16813.html

Hope it helps.

Amount invested 33000 = A + B

So, interest earned on account A would be A*(5/100)

interest earned on B would be (3/100)*B

A’s interest is twice of B
So, A*(5/100) = 2*(3/100)*B

And A+B = 33000

A*(5/100) = 2*(3/100)*(33000 - A)

So, A = 18000 and B= 15000

Total Interest earned would be - A*(5/100) + (3/100)*B i.e. 900 + 450 = 1350

Check new Arithmetic question from GMAT Club Tests:

https://gmatclub.com/forum/in-the-corre ... 27887.html

Problem Solving Butler: February 2023
March 28	PS 1	PS 2

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Data Sufficiency Butler: March 2024
March 28	DS 1	DS 2