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-1244329
banking 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-1244598
banking intermediate

The two numbers are in the ratio of 4 : 5. By increasing each of them by 16, the ratio becomes 20 : 23. The numbers are:

pipeline-1263817
banking 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-1256645
banking 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-1256464
banking 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-1256644
banking intermediate

Two numbers are in the ratio 2 : 4. If the first number is increased by 4 and the second number is decreased by 14, then the ratio becomes 8 : 5. What is the sum of the original two numbers?

pipeline-1305353
defence 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-1301866
defence intermediate

Anna and Ben each have a collection of marbles. If Anna gives one marble to Ben, they will both have an equal number of marbles. Conversely, if Ben gives one marble to Anna, she will end up with three times the number of marbles that Ben has. What is the total number of marbles they both have?

pipeline-1301806
defence intermediate

The sum of the digits of a two−digit number is 9. The number obtained by interchanging its digits exceeds the given number by 45, then the original number is:

pipeline-1301855
defence intermediate

The sum of a two−digit number and the number obtained by interchanging the digits is 77. If the difference of digits is 1, then the number is:

pipeline-1296636
defence intermediate

Two numbers are in the ratio 3: 5. If the sum of their squares is 2176, find the sum of the two numbers.

pipeline-1290106
defence intermediate

If the numerator of a fraction is increased by 25% and the denominator is decreased by 10%, the value of the new fraction becomes \(25\over24\). Find the original fraction.

pipeline-1296666
defence intermediate

Three natural numbers are such that one-third of the first number is equal to two-fifths of the second, and two-thirds of the second number is equal to one-seventh of the third. The sum of five times the third number and half of the square of the first number is 1348. What is the value of the second number?

pipeline-1290117
defence intermediate

The difference between the two positive numbers x and y (x > y) is 350. If 9.5% of x is equal to 16.5% of y, then the sum of the two numbers x and y is:

pipeline-1272438
defence intermediate

If one is subtracted from each of the numerator and denominator of a fraction, the fraction obtained is equal to 1/4. If 5 is added to each of the numerator and denominator, the fraction obtained is equal to 1/2. Find the difference between 11 times the numerator and 3 times the denominator of the original fraction?

pipeline-1272462
defence intermediate

If P, Q, R be whole numbers and P: Q: R= 2:3:4 and \(P ^ 2 + Q ^ 2 + R ^ 2 \)= 11600 then P + Q - R = ?

pipeline-1251897
defence intermediate

A two-digit number is such that the sum of the digits is 9. When the number with the same digits is reversed and subtracted from the original number, the difference is 27. What is the original number?

pipeline-1266191
defence intermediate

If 2/5 of A = 70% of B and B = 25% of C. Find the value of A : B : C.

pipeline-1265967
ib intermediate

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

pipeline-1259352
ib intermediate

Two numbers are in the ratio 2 : 3. Their sum is 135. Find the numbers.

pipeline-1255626
ib intermediate

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

pipeline-1255171
ib 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:

pipeline-1255623
ib intermediate

Two numbers are in the ration of 1 : 2. If 7 is added to  both, their ratio changes to 3 : 5. The greater number is:

pipeline-1246996
ib intermediate

The sum of two numbers is 19, while the difference between the two numbers is 3. Find the smaller number out of these two numbers.

pipeline-1238394
ib intermediate

A is 35% more than B, B is 25% less than C and C is 20% more than D. Which of the following is true?

pipeline-1233448
ib intermediate

The ratio of a two-digit natural number to a number formed by reversing its digits is 4 : 7. Which of the following is the sum of all the numbers of all such pairs?

pipeline-1265850
ib intermediate

If 56% of a number is equal to \(5\over9\) of another number, then what is the ratio of the first number to the second number?

pipeline-1264166
ib intermediate

The sum of the two numbers is 76. Three times the larger number is 46 more than four times the smaller one. Find the two numbers.

pipeline-1265856
ib intermediate

85% of P is equal to 55% of Q, and Q is K% more than P, then what is the value of K% of 187?

pipeline-1265848
ib intermediate

Consider a 2-digit number N. Let P be the product of the digits of the number. If P is added to the square of the digit in the tens place of N, we get 84. If P is added to the square of the digit in the unit place of N, we get 60. What is the value of P + N?

pipeline-1253494
ib intermediate

If P ∶ (Q + R) = 2 ∶ 5 and R ∶ (P + Q) = 6 ∶ 7, then find the value of Q ∶(P + R)

pipeline-1258280
ib intermediate

If 70% of b is equal to 80% of a and 60% of c is equal to 50% of b. It is given that c is less than the 50% of the sum of a and b by 2.5, then what is the value of b?

pipeline-1255836
ib intermediate

From a cake, 1/6th of it was given to Ahmed. From the remaining portion, ‘a%’ of the cake is given to Sam. If the piece with Ahmed and the remaining portion after giving it to Sam is 200% more than that with Sam, then what is the value of ‘a’?

pipeline-1258291
ib 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-1233737
ib 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-1252502
ib intermediate

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

pipeline-1233610
ib intermediate

Two numbers are in the ratio 3: 5. If the sum of their squares is 2176, find the sum of the two numbers.

pipeline-1227932
ib intermediate

Three numbers are in the ratio 19 : 21 : 23. If the difference between thrice the third number and the sum of the first and second numbers is 841. Find the difference between the first and third numbers?

pipeline-1228990
ib intermediate

A is 48% more than B. C is 60% more than twice the difference between A and B. By what percent is C more than A (correct to one decimal place)?

pipeline-1227936
ib percentage intermediate

If 30% of the number A is 55% of B, it is given that A + B = 51. Find the value of A/3 + B2.

pipeline-1194496
delhi_police intermediate

The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2? 

pipeline-1232109
ib intermediate

Out of two numbers, 20% of the smaller number is equal to 14% of the larger number. If the sum of both the numbers is 8942, then what is the value of the larger number?

pipeline-1142229
delhi_police intermediate

If A:B = 6 : 8 and B:C = 7 : 12, then A:B:C is:

pipeline-1172734
delhi_police intermediate

If P : Q = 2 : 3, Q : R = 4 : 5 and R : S = 2 : 1 then what is the value of P : R : S?

pipeline-1147254
delhi_police intermediate

If a ∶ b = c ∶ d = e ∶ f = 5 ∶ 7, then what is the ratio (3a + 5c + 11e) ∶ (3b + 5d + 11f)?

pipeline-1157227
delhi_police intermediate

There are y yellow marbles and b blue marbles in a box. 18% of the yellow marbles were added to 24% of the blue marbles, and the total was 30. Three times the number of yellow marbles exceeds two times the number of blue marbles by 200. What is the ratio of y2 to b2?

pipeline-1142216
delhi_police intermediate

If 30% of (P + Q) = 70% of (P - Q) then Q is what percent of P?

pipeline-1139181
delhi_police percentage intermediate

If 7A = 4B = 14C, then what is A : B : C?

pipeline-1139170
delhi_police intermediate

A student multiplied a number by 8/13 instead of 11/8. He further added 15 to the number. Find the percentage error in the calculation of the final number.

pipeline-1134505
delhi_police percentage intermediate
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