Aptitude Solved Problems - Ratios and Proportions

Aptitude Solved Problems :

Ratios and Proportions

1. A sum of Money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B′s share ?

Answer: Rs. 2000

Explanation:

Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.

From the given data,

4x - 3x = 1000 

x = 1000

∴ B′s share = Rs. 2x 

= Rs. (2 * 1000)

= Rs. 2000

2. Iron and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of iron has been consumed in it ?

Answer: 64 kg

Explanation

For 9 kg Iron, mixture melted 

= ( 9 + 11 ) kg

= 20 kg

For 28.8 kg Iron, mixture melted

 = (( 20 / 9 ) * 28.8 ) kg 

= ( 20 * 3.2 ) kg

= 64 kg

3. The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

Answer: 23 : 33 : 60

Explanation:

Let the salaries of A, B and C are 2x, 3x and 5x respectively.

A′s new salary = (( 115 / 100) * 2x )

= ( 23 / 20 ) * 2x

= ( 23x / 10 )

B′s new salary = (( 110 / 100 ) * 3x )

= ( 11 / 10 ) * 3x

= ( 33x / 10 )

C′s new salary = (( 120 / 100 ) * 5x )

= ( 12 / 10 ) * 5x

= 6x

∴ New ratio = ( 23x / 10 ) : ( 33x / 10 ) : 6x

= 23x : 33x : 60x

= 23 : 33 : 60

4. A certain amount was divided between A and B in the ratio 4 : 3. If B′s share was Rs. 4800, find the total amount ?

Answer: Rs. 11200

Explanation:

A : B = 4 : 3

Total amount = 7

If B′s share = Rs. 3

If B′s share is Rs. 4800, total amount = Rs. (( 7 / 3 ) * 4800)

= Rs. ( 7 * 1600 )

= Rs. 11200