ratio proportion and partnership Model Questions & Answers, Practice Test for ssc mts paper 1 2023

Question :11

The ratio of age of two boys is 5 : 6 after two years the ratio will be 7 : 8. The ratio of their ages after 12 years will be

Answer: (d)

Let the ages be x & y.

$x/y=5/6$ or

6x – 5y = 0 ...(i)

${x+2}/{y+2}=7/8$

8x + 16 = 7y + 14

8x – 7y = – 2 ...(ii)

On equating (i) & (ii), we get

x = 5 & y = 6

After 12 years

x = 17 y = 18

Ratio = 17 : 18

Question :12

The ratio of ducks and frogs in a pond is 37 : 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number of frogs in the pond?

Answer: (b)

Total number of ducks and frogs = 152 × 2 = 304

No. of frogs = $304×39/76$ = 156

Question :13

A sum of money is to be divided among Z, X, Y in the respective proportion of 4:5:6 and another sum to be divided between A and B equally. If Z got Rs. 2000 less than A, how much did X get?

Answer: (d)

Question :14

A sum of money is 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: (b)

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

∴ B's share = Rs. 2x = Rs. (2 × 1000) = Rs. 2000.

Question :15

80% of a number is equal to three-fifth of another number. What is the ratio between the first and the second number respectively?

Answer: (a)

Let the numbers be x and y.

${80x}/100 = {3y}/5$

$x/y=3/5×100/80=3:4$

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