Cluster · Ratio and Proportion Word Problems

d
Clusters / #1138
tight score 0.27

Ratio Percentage and Number Problems
Questions
508
Questions in this cluster
507 total
Question Category Subtype Difficulty

If P = (5/6)Q and Q = (4/5)R, what is 2P : 3Q : 4R?

pipeline-369772
quant intermediate

Two numbers are in the ratio 3 : 5. If 4 is subtracted from each of these two numbers, the new numbers then are in the ratio 4 : 7. Find the smaller of the two original numbers.

pipeline-369774
quant intermediate

If (6x + 5y) : (6x - 5y) = 11 : 5 then what is x : y?

pipeline-360811
quant intermediate

If p : q is 5 : 6 and q : r is 2 : 5, then what is p : q : r?

pipeline-348742
quant intermediate

On a tree, there are some parrots and some pigeons in the ratio of 7 : 9, respectively. After an hour, 8 parrots fly away, and 6 pigeons and 10 sparrows come and sit on the tree. The ratio of the parrots and the pigeons on the tree now is 1 : 4. What is the ratio of the parrots and the sparrows that are now on the tree?

pipeline-363266
quant intermediate

Three numbers are in the ratio of 1 : 2 : 3. The product of the three numbers is 1296. What is the sum of the three numbers?

pipeline-370674
quant intermediate

If 3a : 2b = (6a - 3) : (3b - 2) and a = b - 1, then what will be the value of 12ab?

pipeline-370448
quant intermediate

Two numbers are, respectively, 25% and 30% less than a third number. What is the ratio of the first two numbers, in the order mentioned in the previous statement?

pipeline-348459
quant intermediate

When 8 is added to the numerator of a fraction and 12 is added to its denominator, the fraction becomes 1/2. When 2 is subtracted from its numerator and denominator, the fraction becomes 1/8. Find the original fraction.

pipeline-348421
quant intermediate

Three numbers are in the ratio of 2 : 3 : 5. The sum of these three numbers is 80. What is the product of these three numbers?

pipeline-366539
quant intermediate

If A : B = 3 : 4 and B : C = 1 : 5, then what is A : C?

pipeline-363273
quant intermediate

The ratio of three numbers is \(\frac{1}{4}:\frac{5}{6}:\frac{1}{3}\) respectively. If the sum of the number is 68, what is the value of \(\frac{1}{3}\) of the first number?

pipeline-359955
quant intermediate

If \(\frac{x}{4y}\) = \(\frac{3}{4}\), then the value of \(\frac{2x + 3y}{x - 2y}\) is:

pipeline-577373
quant intermediate

P : Q = 4 : 5 and R is 15% less than Q. If Q = 300, then what is the sum of P and R?

pipeline-360965
quant intermediate

Two numbers are, respectively, 20% and 10% more than a third number. The ratio of the first number to the second is:

pipeline-366552
quant intermediate

If a : b = b : c, then what is the value of a6 : b6?

pipeline-349397
quant intermediate

A is 25% less than B. B is 30% more than 120. What is the value of A?

pipeline-370669
quant intermediate

If A : B is 7 : 4 and A - B = 9, then what is the value of A + B?

pipeline-589289
quant intermediate

If the sum of two quantities is equal to six times their difference, then find the ratio of the two quantities.

pipeline-624176
quant intermediate

If a : b, b : \({1{} \over c}\)and c : d, then the relation between a and d is:

pipeline-569407
quant intermediate

Two numbers are respectively 17% and 50% more than a third number. The ratio of the two number is:

pipeline-550014
quant intermediate

Two numbers are in the ratio 5 : 3 and the difference between these two numbers is 34. Find the smaller of the two numbers.

pipeline-568063
quant intermediate

If 750 is divided into two parts such that the ratio of one to the other is 8 : 7, then find the smaller number.

pipeline-589263
quant intermediate

If x : y : z = 3 : 4 : 5, then what will be the ratio of \((\frac x y):(\frac y z):(\frac z x )\) ?

pipeline-574527
quant intermediate

 If A is 95% of B, then what per cent of A is B?

pipeline-534314
quant intermediate

If A : B = 3 : 2, B : C = 7 : 5, and C : D = 10 : 3, then what is A : D equal to?

pipeline-587852
quant intermediate

If a : b :: b : c, and b = 96, then which of the following can be a possible pair of values of a and c?

pipeline-544874
quant intermediate

The compound ratio of 3 : 4 and 6 : 7 is 36 : x. Find x.

pipeline-580091
quant intermediate

What is the value of \(\frac{x}{y}\) if \(\frac{X-5Y}{X+5Y}=\frac{7}{13}\)

pipeline-544575
quant intermediate

The sum of the two numbers is 98. The difference between the two numbers is 28. Find one of the two numbers.

pipeline-562343
quant intermediate

During a division, Pranjal mistakenly took as the dividend a number that was 10% more than the original dividend. He also mistakenly took as the divisor a number that was 25% more than the original divisor. If the correct quotient of the original division problem was 25 and the remainder was 0, what was the quotient that Pranjal obtained, assuming his calculations had no error?

pipeline-544570
quant intermediate

While solving a question, Suhas mistakenly took as dividend a number which was 10% less than the original dividend. He also mistakenly took as divisor a number which was 20% less than the original divisor. If the correct quotient of the original question of division was 24 and the remainder was 0, then what quotient did Suhas obtain, assuming there was no error in his calculations?

pipeline-558703
quant intermediate

The ratio of the sum of and the difference between two numbers is 6 : 5. Find the ratio of these two numbers.

pipeline-303503
reasoning intermediate

If 3/5 of A is equal to 8/7 of B then, A is what percent of B.

pipeline-51354
english percentage intermediate

The denominator of a fraction is 60% more than the numerator. When the denominator of the fraction is decreased by 10% while the numerator is increased by 20%. Find the percentage increase in the fraction.

pipeline-42271
english percentage intermediate

A is y% more than B. B is (y - 50)% less than C. If A > C, what is the range of values y can take?

pipeline-540786
english intermediate

If A is 25% of B and B is 15% of C then, A is what percentage of C?

pipeline-494512
english percentage intermediate

If A is 25% of B and B is 30% of C, then C is what percent of 80% of (A + B)?

pipeline-50446
english percentage intermediate

A fraction in its simplest form is such that when it is squared and then its numerator increases by 20% and its denominator decrease to 75%, the resulting fraction is 16/15 times the original fraction. Find the difference between the denominator and the numerator of the original fraction.

pipeline-38209
english intermediate

The ratio of two positive numbers is 3 : 5 and the average of the numbers is 48. What is the difference between the numbers?

pipeline-38282
english intermediate

The sum of three positive numbersis 18 and their product is 162. If the sum of two numbersis equal to the third then the sum of squares of the numbers is

 

pipeline-59589
english intermediate

Two numbers are such that if the second number is divided by the first number, the result is 4. If 150% of the first number is subtracted from the second number, the result is 25. Find the ratio of the first number to the second number (both numbers are positive).

pipeline-612778
english intermediate

If a ∶ b = 4 ∶ 5, then (2a + 3b) ∶ (3a + 2b) is equal to∶

pipeline-492180
english intermediate

If the relations between 2 numbers ‘x’ and ‘y’ are (x/5) + (y/9) = -19/45 and x + 4y = 22, then find the value of (x + 3y)/(6y + x/3).

pipeline-45610
english intermediate

If A/3 = B/2 = C/5, then what is the value of ratio (C + A)2 : (A + B)2 : (B + C)2?  

pipeline-492176
english intermediate

Quantity I: The sum of the four-consecutive multiples of 4 is 440. What would be the smallest number?

Quantity II: The sum of three consecutive multiples of 3 is 324. What would be the smallest number?

pipeline-59322
english intermediate

If a : b = 4 : 7 and c : b = 3 : 4, then find the value of a : b : c.

pipeline-306685
english intermediate

If two numbers are in the ratio of 4 : 5 and the sum of their square is 3321, then find the smaller number.

pipeline-304299
english intermediate

Three numbers are in the ratio of 5 : 4 : 7. If the difference between the greatest and smallest number is 153, then find the sum of all three numbers.

pipeline-304294
english intermediate

If p : q = 3 : 4, and q : r = 6 : 7, then find the value of 4q : 3r.

pipeline-304290
english intermediate
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