ratio proportion and partnership Model Questions & Answers, Practice Test for ssc chsl tier 1 2023

Question :11

The sides of a triangle are in the ratio $1/2 : 1/3 : 1/4$ and its perimeter is 104 cm. The length of the longest side is:

Answer: (c)

Ratio of sides = $1/2 : 1/3 : 1/4$ = 6 : 4 : 3

Largest side = $(104 × 6/{13})$cm 13 = 48 cm

Question :12

The respective ratio between Pooja's, Prarthana's and Falguni's monthly income is 53 : 70 : 57. If Prarthana's annual income is Rs. 4, 20, 000, what is the sum of Pooja's and Falguni's annual incomes? (In some cases monthly income and in some cases annual income is used.)

Answer: (b)

70x = 4,20,000

∴ x=${4, 20,000}/70= 6000$

Pooja's income = 53 × 6000 = 318000

Falguni's income = 57 × 6000 = 342000

Total income = 318000 + 342000 = 6,60,000

Question :13

The ratio of three numbers A, B and C is 6: 8:15. If A, B and C are increased by 300%, 275% and 100% respectively, what will be the new ratio of A, B and C?

Answer: (c)

Let the numbers be 600, 800 and 1500.

Then the new numbers are 2400, 3000 and 3000.

∴ Ratio = 24 : 30 : 30⇒4 : 5 : 5

Question :14

Srikant and Vividh started a business investing amounts of Rs.1,85,000 and Rs.2,25,000 respectively, If Vividh's share in the profit earned by them is Rs.9,000, what is the total profit earned by them together?

Answer: (c)

Ratio of capitals of Srikant and Vividh

= 185000 : 225 000

37 : 45

Vividh's share i.e. $45/82 × x = 9000$

∴$x=9000×82/45$ = 16, 400

Question :15

Salary of Mr. X is 80% of the salary of Mr. Y, and the salary of Mr. Z is 120% of the salary of Mr X. What is the ratio between the salaries of X, Y and Z respectively?

Answer: (e)

Let Y's salary = Rs. 100

∴ X's salary = Rs. 80

and Z's salary = $({80 × 120}/ 100)$ = Rs. 96

∴ Required ratio = 80 : 100 : 96 = 20 : 25 : 24

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