# 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

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

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

A's spending 90%              $\inline&space;\therefore$   saving = 10%

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

C's spending 60%              $\inline&space;\therefore$   saving = 40%

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

$\inline&space;\therefore$ 10% of A's saving = Rs.3

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

25% of B's saving = Rs. 5

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

40% of C's saving = Rs.6

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

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

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

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

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

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

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

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

Distance travelled by each car be y km

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

= $\inline&space;\frac{1}{3}:\frac{1}{4}:\frac{1}{5}$

= 20 : 15 :12

Subject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability

Rate this : 22 15

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

A + B + C = 5625

$\inline&space;B=\frac{1}{4}(A+C)&space;\Rightarrow&space;A+C&space;=4B$

$\inline&space;\therefore$ 4B + B = 5625

B = 1125

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

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

B = 2A - C

$\inline&space;\therefore$ 2A - C = 1125

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

Then A = 1875 and C = 2625

$\inline&space;\therefore$ A-B = 1875 - 1125 = Rs. 750

Subject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability

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20 litres of a mixture contains milk and water in the ratio 3:1. How much milk must be added to this mixture to have a mixture containing milk and water in the ratio 4 :1 ?

Quantity of milk in the given mixture = $\inline&space;\frac{20\times&space;3}{4}=15$ lts

Quantity of water in this mixture = 20 - 15 = 5 lts

Let x litres of milk be added to given mixture to have the requisite ratio of milk and water

Then

$\inline&space;\Rightarrow$ 15 + x =20

$\inline&space;\therefore$  x = 5

$\inline&space;\therefore$ Milk to be added = 5 litres

Subject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability

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Divide Rs.1162 among A,B,C in the ratio 35:28:20

Sum of the terms of the ratio = 35 + 28 + 20 = 83

$\inline&space;\therefore$ A's Share = $\inline&space;\left&space;(&space;1162+\frac{35}{83}&space;\right&space;)$

= Rs. 490

B's Share = $\inline&space;\left&space;(&space;1162+\frac{28}{83}&space;\right&space;)$

= Rs. 392

C's Share = [1162-(490+392)]

= Rs. 280