# Percentages, Profit and Loss Home Work

1. While preparing her summer project, Gayatri found that if she used Courier font size 10 instead of Times Roman font size 10 there was a reduction of 19% in the number of pages required for the project work. Further, if she reduced the font size from 10 to 9, the savings were 10% and 14% in Times Roman and Courier fonts respectively. If the project work printing in Times Roman font size 9 is converted to Courier font size 9, what is the percentage reduction in the number of pages?
a. 22.6
b. 23.8
c. 24.6
d. 25.2

2. Fresh grapes contains 90% water, and dry grapes contain 85% matter. To get 20 kgs of dry grapes who many kgs of fresh grapes have to be processed?
a. 156
b. 170
c. 180
d. 195

3. Arun makes a popular brand of ice cream in a rectangular shaped bar 6cm long, 5cm wide and 2cm thick. To cut costs, the company had decided to reduce the volume of the bar by 19%. The thickness will remain same, but the length and width will be decreased by some percentage. The new width will be
a. 4
b. 5
c. 4.5
d. 5.5

4. A man bought some apples of which 13% of then were rotten. He sold 75% of the balance and exported 37.5% of the remaining and was left with 261 apples. How many apples did he have originally?
a. 1700
b. 1920
c. 2100
d. 2400

5. 2/5th of the voters promise to vote for A and the rest promised to vote for B. Of these, on the last day 15% of the voters went back of their promise and cross voted for B and 25% of voters went back of their promise and cross voted for A, and A lost by 200 votes. Then, the total number of voters is:
a. 10,000
b. 9,600
c. 8,400
d. 7,200

6. Anil sold a shirt for Rs.144. If the percentage of profit was numerically equal to the cost price, the cost price of the shirt was
a. Rs.120
b. Rs.80
c. Rs.100
d. Rs.156

7. A man sold two commodities for Rs.900 each, neither losing nor gaining in the deal. If he sold one commodity at a gain of 12.5%, the other commodity is sold at a loss of
a. 8.5%
b. 7.5%
c. 9%
d. 10%

8. A person sells an articles at a profit of 10%. If he had bought it at 10% less and sold it for Rs. 3 more, he would have gained 25%. Find the cost price.
a. Rs.100
b. Rs.150
c. Rs.120
d. Rs.160

9. A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.55 more he would have had a profit of 40%. Find the cost price of the article.
a. Rs. 350
b. Rs. 250
c. Rs. 450
d. Rs. 500

10. Jack has a crazy customer Crack, who always demands 10% extra product and 10% discount on what ever he purchases. To get 10% profit, how much percent Jack has to increase his cost price even after giving in to Crack’s demands?
a. 30
b. 33
c. 34.4
d. 32.2

11. Jack found that his weighing machine is showing only 900 gms for 1000 gms. Considering the above conditions still hold, how much percent above the cost price Jack has to mark up his goods?
a. 49.38
b. 42.48
c. 66.66
d. 78.4

12. Jack has now become greedy and started adding 10% impurities to the product. Considering all the above conditions in Questions 10 and 11, How much above the cost price Jack has to mark up his goods?
a. 32.56
b. 35.8
c. 25.22
d. 21.64

13. Jack recently struck a good deal with his supplier and getting the product at 10% discount. Considering all the above conditions in Questions 10,11,12 How much above the cost price Jack has to mark up his goods?
a. 12.4
b. 19.8
c. 22.22
d. 26.36