1.The ratio of monthly income to the savings in a family is 5 : 4 If the savings
be $9000, find the income and the expenses.
2. Two numbers are in the ratio 7 : 5. If 2 is subtracted from each of them, the
ratio becomes 3 : 2. Find the numbers.
3. Two numbers are in the ratio 5: 7. On adding 1 to the first and 3 to the
second, their ratio becomes 6/9. Find the numbers.
4. The difference between two numbers is 33 and the ratio between them
is 5 : 2. Find the numbers.
5. The ages of A and B are in the ratio 3 : 5. Four years later, the sum of
their ages is 48. Find their present ages.
6. Ramon has notes of $100, $50 and $10 respectively. The ratio of these
notes is 2 : 3 : 5 and the total amount is $2,00,000. Find the numbers
of notes of each kind.
7. Divide $430 into 3 parts such that A gets 5/4 of B and the ratio
between B and C is 3 : 4.
8. The ratio of number of male and female teachers in a school is 3 : 4. If
there are 16 female teachers, find the number of male teachers.
9. In a library the ratio of English books to Math books, is the same as the
ratio of Math books to Science book. If there are 1200 books on English
and 1800 books on Math, find the number of Science books.
10. If a pen cost Rs.50 after 10% discount, then what is the actual price or
marked price of the pen?
11. Aaron bought an almirah for $1520 and sold it at a profit of 12 1/2 %.
Find the selling price of the almirah.
12. By selling a camera for $2400, Ron loses 4%. At what price must he
sell it to gain 12 %.
13. The selling price of 12 eggs is equal to the cost price of 15 eggs. Find
the gain per cent.
14. Simi bought a study table for $ 9000. She sold it at a profit of 20%.
How much profit did she make? What is the selling price?
15. Davis bought a second hand cycle for $ 500. He spent $ 80 in repairs
and $ 175 in repainting. He then sold it to John for $ 900. How much
did he gain or lose?
16. Mr. Smith buys pencils at $ 250 per hundred and sells each at $ 1.75.
Find his loss or profit.
Revision worksheet
17. Bob bought a cycle for Rs. 3725. After using it for few months he sold
it for a loss of Rs. 589. Find the selling price of the cycle.
18. S.P of a toy is $ 540. If the profit made by the shopkeeper is 20%, find
the C.P of the toy.
19. A man bought candies at 3 for a dollar. How many for a dollar must he
sell to earn a profit of 50% ?
20. The map of a rectangular field is drawn on a scale 1 : 90. If the actual
length of the field is 180 m, what will it be on the map?
21. The length and breadth of a rectangle are in the ratio 5 : 4. If its
length is 80 cm, find the breadth.
22. It takes Sharon 45 minutes to walk 5 km. How long would it take her
to walk 4 km at the same speed? How far would she go in 90 minutes?
23. It takes 4 men 6 hours to repair a road. How long will it take 8 men to
do the job if they work at the same rate?
24. A hostel has enough food for 125 students for 16 days. How long will
the food last if75 more students join them?
25. If 5 men working 6 hours a day can reap a field in 20 days, in how
many days will 15 men reap the field if they work for 8 hours a day?
Answers
Answer:
1. Savings are 9000 and have the ratio of four so to get one
9000/4=2250
Income is 5 so and 2250 is 1
2250x5=11250
The difference is 11250-9000= 2250 which is the expenses
Income= 11250
Expenses= 2250
Savings= 9000
Income to savings is 11250 to 9000
Simplify by 2250
We get the ratio 5:4
2.Answer:
The numbers are 14 and 10.
Step-by-step explanation:
Ratio
A ratio indicates how many times one number contains another.
We can express ratio in three ways: colon form, fraction form and word form.
Going back to the problem above, ratios are given, we need to look for the two numbers that ratios represent.
Let us analyze the problem.
"Two numbers are in the ratio 7 : 5."
Let x be the number.
7x : 5x
"If 2 is subtracted from each of them, the ratio becomes 3 : 2."
7x-2 : 5x-2 = 3 : 2
Solution:
Let us express the ratios in fraction form so it is easier to solve.
7x-2/5x-2 = 3/2
Cross multiply.
3(5x-2) = 2(7x-2)
15x - 6 = 14x - 4
15x - 14x = 6 - 4
x = 2
Substitute the value of x.
7(2) : 5(2)
14 : 10
The numbers are 14 and 10.
Checking:
7x-2 : 5x-2 = 3 : 2
7(2)-2 : 5(2)-2 = 3 : 2
14-2 : 10-2 = 3 : 2
12 : 8 = 3 : 2
3 : 2 = 3 : 2 ✔
3.Answer is in the image
Answer:
sp is rs 3725 profit 50 then cp is