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 3A = 5B = 6C ; then find the value of 2A + 3B + C

pipeline-306724
english intermediate

If two is subtracted to the numerator while 3 is added to the denominator, ratio becomes 3 : 2. While if 7 is added to the denominator while 4 is subtracted form the numerator, ratio becomes 5 : 3. What is the fraction?

pipeline-186241
english intermediate

If a : b = 5 : 9 and b : c = 4 : 7, find a : b : c ?

pipeline-63009
english intermediate

The ratio of two numbers A and B is 4 : 5. If 5 is added to each of A and B, then the ratio of A and B becomes 5 : 6. Then find the value of B.

pipeline-304282
english intermediate

If the value of a : b = 5 : 4, then find the ratio of (a + b)2 - 4ab and a2 - b2.

pipeline-46021
english intermediate

If A : B = 9 : 5 and B - A = 36, then what is the value of (A + B)/6?

pipeline-306712
english intermediate

Two numbers, Q and R, are such that the sum of 3% of Q and 2% of R is one-third of the sum of 5% of Q and 7% of R. Find the Q to R ratio.

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english intermediate

An item is cut into 2 pieces in ratio 8 : 7 which are further cut into 2 pieces in ratio 1 : 3 and 3 : 4 respectively. Find ratio of the first and fourth pieces.

pipeline-333017
english intermediate

Rakesh and Shyam had money in the ratio 4 : 7 while Vimal and Amit had money in ratio 9 : 16. What would be ratio of product of money with Rakesh and Vimal to product of money with Shyam and Amit?

pipeline-49434
english intermediate

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

pipeline-304290
english intermediate

If a : b : c = 2 : 3 : 1, then what is the value of \(\frac{2a+3b-4c}{a+b-2c}\)

pipeline-306704
english intermediate

What is the two-digit number?

Statement I: The digit in the tens place is 5 more than the digit in the unit place.

Statement II: The difference between the two digits of the number is 5.

Statement III: The difference between the original number and the number obtained by interchanging the digits is 45. 

pipeline-95279
english intermediate

Quantity 1: Thirty-five percent of a number is 20 less than 3/5 of that number. What is the number?

Quantity 2: Forty-five percent of a number is 60 less than 2/3 of that number. What is the number?

pipeline-95497
english percentage intermediate

There are three friends Zirman, Rock and Pattu. The 40% age of Zirman is equal to 120% age of Rock, and 60% age of Rock is equal to 180% of Pattu. Find the ratio of ages of three friends Zirman, Rock, and Pattu.

pipeline-51199
english intermediate

If the value of A : B = 4 : 5, and B : C = 7 : 5. Then find the value of A : B : C.

pipeline-304278
english intermediate

If a + b = 46 and a - b = 22, then find the value of a : b.

pipeline-306722
english intermediate

If A : B : C = 9 : 11 : 7 then find the value of [(A3 + B3 + C3 – 3ABC)]/[A{(A + B + C)2 – 3(AB + BC + CA)}]

pipeline-46134
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 x + y + z = 450, and x : y : z = 3 : 7 : 5, then what is the value of (x + y - z)

pipeline-306716
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 a : b = 5 : 4 then find the value of 4a + 5b - ab.

pipeline-306684
english intermediate

The number 4352 is divided into numbers in the ratio 9 : 11 : 14. What will be the smallest number?

pipeline-22902
reasoning intermediate

If 30% of x is equal to 5 times of 20% of y. Find the value of x : y.

pipeline-226837
reasoning intermediate

A student multiplies a number by 6/5 instead of 5/6. What is the percentage error in the result?

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reasoning intermediate

If A : B : C = 8 : 14 : 13 & the difference between A and C is 22.75. Find the value of B.

pipeline-16518
reasoning intermediate

If 7A = 11B = 14C; find the value of A : B : C.

pipeline-123496
reasoning intermediate

A is 120% of B and B is 65% of C. If the sum of A, B and C is 121.5, then te value of C-2B + A is:

pipeline-302987
reasoning intermediate

The numerator of a fraction is 1 less than the denominator. If 3 is added to the numerator and 1 is subtracted from the denominator the fraction becomes 5/2. Find the original fraction.

pipeline-45567
reasoning intermediate

A : B = 5 : 8 and B : C = 11 : 13. If A = 110, then what is the valuve of C ?

pipeline-112057
reasoning intermediate

If the difference between 3/2 and 4/3 of the same number is 12, then the number is ?

pipeline-509871
reasoning intermediate

u : v = 4 : 7 and v : w = 9 : 7. If u = 72, then what is the value of w?

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reasoning intermediate

If P : Q : R = 5 : 3 : 6, then what will be the ratio of (P/Q) : (Q/R) : R/P) = ?

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reasoning intermediate

If x : y = 6 : 5 and z : y = 9 : 25, then what is the ratio of x : z ?

pipeline-112155
reasoning intermediate

Two numbers are respectively 25% and 50% more than a third number. The ratio of the first number to second number is :

pipeline-110873
reasoning intermediate

A is 20% less than B and C is 30% more than D. If D is 25% less than A, then which of the following is true?

pipeline-2964
reasoning intermediate

If A : B : C = 4 : 5 : 6, then what is the ratio of (1/A) : (1/B) : (1/C) ?

pipeline-112674
reasoning intermediate

If A : B = 7 : 8 and B : C = 7 : 9, then what is the ratio of A : B : C ?

pipeline-112047
reasoning intermediate

A is 25% more than B, and B is 40% less than C. If C is 20%, more than D, then A is what percentage less than D?

pipeline-304348
reasoning percentage intermediate

If A is the 9/8 of B and B is the 7/6 of C, then find C is how much percent of A?

pipeline-52787
reasoning percentage intermediate

Numbers A and B are 30% and 50%, respectively, more than the number C. The ratio of A to that of B is:

pipeline-303946
reasoning intermediate

\(\frac{11}{ 5}\) of a number A is 22% of a number B. The number B is equal to 2.5% of a third number C. If the value of C is 5500, then the sum of 80% of A and 40% of B is:

pipeline-301962
reasoning intermediate

The ratio between two numbers is 7 : 16. If the second number is 256 then the first number is:

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reasoning 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-742714
english 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-742670
english intermediate

The sum of two digits is 12, and the sum of their reciprocals is 4/9. Then find the largest of these digits.

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mp_police intermediate

A two-digit number is 12 more than five times the sum of its digits. The number formed by reversing the digits is 9 less than the original number. The number is:

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mp_police intermediate

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

pipeline-1306037
mp_police intermediate

Two numbers are in the ratio 49 : 64. If both numbers are increased by 10, then their ratio becomes 54 : 69. What is the difference between the two numbers?

pipeline-1306239
mp_police intermediate

When the number 42 is misread as 24, what is the percentage error?

pipeline-1305929
mp_police intermediate

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

pipeline-1306146
mp_police intermediate
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