14. a store buys a microwave for $120. it marks up the price by 25% and then applies a 10% discount during a…

14. a store buys a microwave for $120. it marks up the price by 25% and then applies a 10% discount during a sale. what is the sale price? a) $132.00 b) $135.00 c) $140.40 d) $148.50 15. a phone originally costs $600. after a 15% discount and a 7% sales tax, what is the final price? a) $545.70 b) $547.80 c) $550.00 d) $560.00 16. a company earned $250,000 last year. this year revenue increased by 12% but expenses also increased by 5% of revenue. what is the net revenue? a) $260,000 b) $266,000 c) $272,500 d) $276,000 17. store a sells a laptop for $900 with a 20% discount. store b sells the same laptop for $840 with a 10% discount. which store is cheaper and by how much? a) store a by $30 b) store a by $36 c) store b by $30 d) store b by $36

14. a store buys a microwave for $120. it marks up the price by 25% and then applies a 10% discount during a sale. what is the sale price? a) $132.00 b) $135.00 c) $140.40 d) $148.50 15. a phone originally costs $600. after a 15% discount and a 7% sales tax, what is the final price? a) $545.70 b) $547.80 c) $550.00 d) $560.00 16. a company earned $250,000 last year. this year revenue increased by 12% but expenses also increased by 5% of revenue. what is the net revenue? a) $260,000 b) $266,000 c) $272,500 d) $276,000 17. store a sells a laptop for $900 with a 20% discount. store b sells the same laptop for $840 with a 10% discount. which store is cheaper and by how much? a) store a by $30 b) store a by $36 c) store b by $30 d) store b by $36

Answer

Question 14

Explanation:

Step1: Calculate marked - up price

The cost price of the microwave is $120. The markup is 25% of $120. The marked - up price $P_1$ is calculated as $P_1=(1 + 0.25)\times120=1.25\times120 = 150$.

Step2: Calculate the sale price

A 10% discount is applied to the marked - up price. The sale price $P_2$ is $P_2=(1 - 0.10)\times P_1=0.9\times150 = 135$.

Answer:

B. $135.00

Question 15

Explanation:

Step1: Calculate the price after discount

The original price of the phone is $600. After a 15% discount, the price $P_1$ is $P_1=(1 - 0.15)\times600=0.85\times600 = 510$.

Step2: Calculate the final price with tax

A 7% sales tax is applied to the discounted price. The final price $P_2$ is $P_2=(1 + 0.07)\times P_1=1.07\times510=545.7$.

Answer:

A. $545.70

Question 16

Explanation:

Step1: Calculate this year's revenue

Last year's revenue was $250000. This year, the revenue increased by 12%. So this year's revenue $R$ is $R=(1 + 0.12)\times250000=1.12\times250000 = 280000$.

Step2: Calculate the increase in expenses

Expenses increased by 5% of the revenue. The increase in expenses $E$ is $E = 0.05\times R=0.05\times280000=14000$.

Step3: Calculate the net revenue

Net revenue $NR=R - E=280000-14000 = 266000$.

Answer:

B. $266,000

Question 17

Explanation:

Step1: Calculate the price at Store A after discount

The laptop at Store A has an original price of $900 with a 20% discount. The price $P_A$ is $P_A=(1 - 0.20)\times900=0.8\times900 = 720$.

Step2: Calculate the price at Store B after discount

The laptop at Store B has an original price of $840 with a 10% discount. The price $P_B$ is $P_B=(1 - 0.10)\times840=0.9\times840 = 756$.

Step3: Compare the prices

$P_A=720$ and $P_B = 756$. The difference $\Delta P=P_B - P_A=756 - 720=36$. Store A is cheaper by $36$.

Answer:

B. Store A by $36$