ratio and proportion Model Questions & Answers, Practice Test for ibps po prelims 2023

Question :1

Populations of two villages X and Y are in the ratio of 5 : 7 respectively. If the population of village Y increases by 25000 and the population of village X remains unchanged the respective ratio of their populations becomes 25 : 36. What is the population of village X?

Answer: (a)

Let the population of the village X be 5x.

and that of village Y = 7x.

According to the question, ${5x}/{7x + 25000} = {25}/36$

⇒180x = 175x + 25 × 25000⇒5x = 625000

∴x = 625000

Question :2

If A : B = 3 : 4, B : C = 8 : 10 and C : D = 15 : 17 Then find A : B : C : D.

Answer: (b)

A : B = 3 : 4

B : C = 8 : 10

C : D = 15 : 17

A : B : C : D = 3 × 8 × 15 : 4 × 8 × 15 : 4 × 10 × 15 : 4 × 10 × 17

= 9 : 12 : 15 : 17

Question :3

The total number of boys in a school is 15% more than the total number of girls in the school. What is the ratio of the total number of boys to the total number of girls in the school?

Answer: (b)

Let the number of girls be = x

∴Number of the boys = ${115x}/100$

∴Required ratio = ${115x}/100$ . x = 23 : 20

Question :4

The ratio of the number of boys to the number of girls studying in a school is 25 : 29. The total number of students studying in the school is 270. If 15 boys and 15 girls take admission in the school, what will be the new ratio of the boys and girls studying in the school?

Answer: (b)

Total no. of boys in the school = ${25}/{54}$ × 270 = 125

Total no. of girls in the school = ${29}/{54}$ × 270 = 145

After inclusion of 15 boys and 15 girls, the ratio of boys to girls in the school

= (125 + 15) : (145 + 15) = 140 : 160 = 7 : 8

Question :5

Ninad, Vikas and Manav enter into a partnership. Ninad invests some amount at the beginning. Vikas invests double the amount after 6 months and Manav invests thrice the amount invested by Ninad after 8 months. They earn a profit of Rs.45, 000 at the end of the year. What is Manav's share in the profit?

Answer: (c)

Ratio of profit = 1 × 12 : 2 × 6 : 3 × 4

= 1 : 1 : 1

∴Manav's share = $45000×1/3$ =Rs.15000

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