Ratio Proportion And Partnership Model Questions & Answers, Practice Test for ssc chsl tier 1 2023

Question :1

In a mixture of milk and water the proportion of water by weight was 75%. If in the 60 gms of this mixture 15 gm. water was added, what would be the percentage of water?

Answer: (e)

In 60 gms mixture proportion of water

= $60×75/100$ = 45 gms

Total proportion of water in new mixture

= 45 + 15 = 60 gms.

∴Percentage of water = $60/{60+15}×100$ = 80%

Question :2

The largest and the second largest angles of a triangle are in the ratio of 13 : 12. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles ?

Answer: (d)

Smallest angle

= $(13+12)×20/100=5$

∴Ratio of angles = 13 : 12: 5

∴ Sum of smallest and second largest angles

= ${180×(12+5)}/{(13+12+5)} = {180×17}/30$ = 102°

Question :3

The monthly salary of A, B and C is in the proportion 2 : 3 : 5. If C's monthly salary is Rs.1200 more than A's monthly salary then B's annual salary is

Answer: (a)

Let monthly salaries be 2x, 3x and 5x

∴5x = 2x + 1200⇒3x = 1200

⇒x = 400

∴Monthly salary of B = 1200

∴Annual salary of B = 14400

Question :4

A, B and C are partners. A receives $2/5$ of the profit and B and C share the remaining profit equally. A's income is increased by Rs.220 when the profit rises from 8% to 10%. Find the capitals invested by A, B and C.

Answer: (d)

For A's share : (10% – 8%) = Rs. 220

∴ 100% = ${220}/2$ × 100 = Rs. 11000

∴ A's capital = Rs. 11000

For B's and C's share : $2/5$ = 11000

∴ $3/5 = {11000}/2$ × 2 = Rs. 16500

∴ B's and C's capitals are Rs. 8250 each.

Question :5

Present ages of father and son are in the ratio of 6 : 1 respectively. Four years after the ratio of their ages will become 4 : 1 respectively. What is the son's present age?

Answer: (c)

Ages of father & son = x & y

$x/y=6/1 x$ = 6y or

x – 6y = 0 ...(i)

${x+4}/{y+4}=4/1$

x + 4 = 4y + 16

x – 4y = 12 ...(ii)

On equating (i) & (ii), we get y = 6.

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