Ratio and Proportion Question & Answers


97

Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

A) 10 : 5 B) 15 : 2
C) 20 : 2 D) 25 : 2

Answer:   D) 25 : 2

Explanation:

Indian stamps are common to both ratios. Multiply both ratios by factors such that the Indian stamps are represented by the same number.

US : Indian = 5 : 2, and Indian : British = 5 : 1. Multiply the first by 5, and the second by 2. 

Now US : Indian = 25 : 10, and Indian : British = 10 : 2

Hence the two ratios can be combined and US : British = 25 : 2

Subject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability
Exam Prep: GRE

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  • Related Questions

If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?

A) 710 acres B) 760 acres
C) 810 acres D) 860 acres
 
Answer & Explanation Answer: C) 810 acres

Explanation:

As 12 men can reap 120 acres, 54 men will be able to reap more acres in 36 days, 120 acres of land was reaped, so in 54 days, more land will be reaped.

Thus, the numbers of acres that can be reaped by 54 men in 54 days = 

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Subject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability

0

The incomes of two persons A and B are in the ratio 3 : 4. If each saves Rs.100 per month, the ratio of their expenditures is Rs. 1 : 2. Find their incomes.

A) Rs. 100 and Rs.150 B) Rs. 150 and Rs.200
C) Rs.200 and Rs.250 D) Rs.250 and Rs.300
 
Answer & Explanation Answer: B) Rs. 150 and Rs.200

Explanation:

Let the incomes of A and B be 3P and 4P.

If each saves Rs. 100 per month, then their expenditures = Income - savings = (3P - 100) and (4P - 100).

 

The ratio of their expenditures is given as 1 : 2.

Therefor, (3P - 100) : (4P - 100) = 1 : 2

Solving, We get P = 50. Substitute this value of P in 3P and 4P.

Thus, their incomes are : Rs.150 and Rs.200

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Subject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability

0

Divide Rs.6500 among A,B and C so that after spending 90% , 75% and 60% of their respective saving were in the ratio of 3: 5: 6

Answer

A's spending 90%              \inline \therefore   saving = 10%


B's spending 75%              \therefore   saving = 25%


C's spending 60%              \inline \therefore   saving = 40%


Let us suppose A, B and C saves Rs. 3.5 and 6 respectively.


\inline \therefore 10% of A's saving = Rs.3


100% of A's saving = \inline \frac{3}{10}\times 100 = Rs. 30


25% of B's saving = Rs. 5


100% of B's saving = \inline \frac{5}{25}\times 100 = Rs. 20


40% of C's saving = Rs.6


100% of C's saving = \inline \frac{6}{40}\times 100 = Rs. 15


Divide Rs. 6500 in the ratio of 30 : 20 : 15 as


A's Share  =  \inline \frac{30}{65}\times 6500 = Rs. 3000


B's Share   = \inline \frac{20}{65}\times 6500 = Rs. 2000


C's Share  = \inline \frac{15}{65}\times 6500 = Rs. 1500

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Subject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability
Job Role: Bank PO

28

The speed of three cars in the ratio 3 : 4 : 5. The ratio between time taken by them to travel the same distance is

Answer

Let the speeds of cars be 3x, 4x and 5x kmph 


Distance travelled by each car be y km 


\inline \therefore Ratio of times taken = \inline \frac{y}{3x}:\frac{y}{4x}:\frac{y}{5x}


                                  = \inline \frac{1}{3}:\frac{1}{4}:\frac{1}{5}


                                  = 20 : 15 :12

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Subject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability

27

Rs. 5625 is to be divided among A, B and C so that A may receive 1/2 as much as B and C together receive and B receives 1/4 of what A and C together receive. The share of A is more than that of B by

Answer

A + B + C = 5625


\inline B=\frac{1}{4}(A+C) \Rightarrow A+C =4B


\inline \therefore 4B + B = 5625


       B = 1125


Also A + C = 4B = 4 x 1125 = 4500


Also \inline A=\frac{1}{2}(B+C)\Rightarrow B+C= 2A


        B = 2A - C


\inline \therefore 2A - C = 1125


Now solving A+C = 4500 and 2A-C = 1125


Then A = 1875 and C = 2625


\inline \therefore A-B = 1875 - 1125 = Rs. 750

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Subject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability

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