HARD
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If the ratio of the altitudes of two triangles is 3 : 4 and the ratio of their corresponding areas be 4 : 3, then the ratio of their corresponding lengths of bases is

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Important Questions on Ratio, Proportion and Variation

EASY
Gita, Shweta and Sita invested Rs. 4200, Rs. 8400 and Rs. 5400 respectively while starting a business. At the end of the year, they earned a profit of Rs. 24,000. Sita invested 32% of her share of the profit in a savings scheme. How much amount is left with her?
EASY

A person carries 165 in the form of currency notes of 5, 10 and 20 in the ratio of 3 : 2 : 1. What is the value of currency notes of 20 denomination?

MEDIUM
The annual salary of Arun is Rs. 7.68 lakh. In a month if he spends Rs. 12000 on his children, 113th of rest on food and Rs. 8000 in mutual funds from his monthly salary, then find the monthly saving he is left with.
MEDIUM
A 20 litre mixture contains milk and water in the ratio 3:2. Then 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacements, what is the ratio of milk and water in the resultant mixture?
EASY
In a class of 80 students and 5 teachers, each student got sweets that are 15% of the total number of students and each teacher got sweets that are 25% of the total number of students. How many sweets were there?
EASY
A certain amount of money has to be divided between two persons P and Q in the ratio 5:7. But it was divided in the ratio 2:5 and thereby Q gets an additional Rs.33. Find the total amount.
MEDIUM
The respective ratio between two positive numbers (X and Y) is 3:5. When 2 is added to both the numbers, the ratio between them becomes 5:8. What is the difference between both the numbers?
MEDIUM
A certain sum is divided among A, B and C in such way that A gets Rs. 40 more than half of the sum. B gets Rs. 120 less than three-eighths of the sum and C gets Rs. 200. What is the total sum?
EASY
A bag contains Rs 1, 50 paise and 25 paise coins in the ratio of.8 : 9 : 11. If total money in the bag is Rs 366, then find the number of 25 paise coins:
EASY
The prices of a scooter and a television set are in the ratio of 8 : 7. If scooter costs Rs. 4,000 more than television set, the price of television set is:
MEDIUM
The income of Ram and Raju are in the ratio 3 : 2 and expenses are in the ratio 5 : 3. If each of them save  . 2000. What is the income of Ram ?
EASY
A, B, C and D purchase a gift worth Rs. 60. A pays $\frac{1}{2}$ th of what others are paying B pays $\frac{1}{3}$ rd of what others are paying and C pays $\frac{1}{4}$ th of what others are paying. What is the amount paid by D?
MEDIUM
In a bag, there are coins of 25 p, 10 p, and 5 p in the ratio of 1 : 2 : 3. If there are Rs.30 in all, how many 5 p coins are there?
HARD
In a bag, there are coins of Re. 1 and Rs. 2 in the ratio 2 : 3. If total value in bag is Rs. 80, then how many coins are there for Rs. 2?
EASY
The combined price of two articles A and B, whose prices are in the ratio 5:4, is 36,000. If the price of A decreases by x% while the price of B increases by x%, the new prices will be the same. Find x.
MEDIUM
The ratio of expenditure and savings is 3 : 2 . If the income increases by 15% and the savings increases by 6% , then by how much percent should his expenditure increases?
MEDIUM

Represent the union of two sets by Venn diagram for each of the following.

X={x | x is a prime number between 80 and 100}

Y={y | y is an odd number between 90 and 100}