sat maths practice-1 (24)

If 2s−3t=3t−s, what is s in terms of t?

• t/2

• 2t

• t + 2

• t/2 + 1

If 2r=s and 24t=3s, what is the r in terms of t?

Tickets to a show are $150 each plus 8 percent sales tax. There is also a $6 processing fee for each transaction. Which of the following represents the total charge, in dollars, for one-time purchase of x tickets?

• 0.08(150x) +6

• 1.08(150x) +6

• 0.08(150x+6)

• 1.08(150x+6)

A dietician charges for a certain type of salad at a rate of 2 dollars for the first half and 75 cents for each additional half pound. Which of the following expressions represents the total charge, in cents, for p pounds of the salad, where p is a positive integer?

• 25(6p+8)

• 25(6p+5)

• 25 (3p +5)

• 1.25+1.5p

Joseph joins a gym that charges $79.99 per month plus tax for a premium membership. A tax of 6% is applied to the monthly fee. Joseph is also charged a one-time initiation fee of $95 as soon as he joins. There is no contract so that Joseph can cancel at any time without having to pay a penalty. Which of the following represents Joseph’s total charge, in dollars, if he keeps his membership for t months?

• A.      1.06(79.99+95) t

• A.      1.06(79.99t+95)

• A.      (1.06⋅79.99t) +95

• A.      (79.00+.06t) +95

Alma bought a laptop computer at a store that gave a 20 percent discount off its original price. The total amount she paid to the cashier was p dollars, including an 8 percent sales tax on the discounted price. Which of the following represents the original price of the computer in terms of p ?

• 0.88p

• p0.88

• (0.8) (1.08)p

• p/(0.8) (1.08)

Dimitry bought a pair of pants at the discounted price of $30. The original price of the pants was $40. What was the percent of the discount?

• 0.04

• 0.1

• 0.25

• A.      33* 1/3%

The marked price of an article is Rs. 3600 and is selling price is Rs. 3132. What is the discount per cent?

• 12%

• 13%

• 17.21%

• 14.94%