Unit-3:
(a) Ratio and proportion
(b) Percentage
(c) Partnership
(d) Average
(e) Problem based on ages
Q1.
Write the subtriplicate ratio of 125:27.
(a)5:3 (b) 3:2 (c) 2:1 (d) 4:3
Solution.
(a)5:3
NOTE :
Subtriplicate ratio of a and b is ∛a : ∛b
Solution
Q2.
If proportion is a/b = c/d, then b/a = d/c is.
(a) Invertendo (b) Alternendo (c) Componendo (d) Dividendo
Solution.
(a) Invertendo
Solution
Q3.
22.5 : 20.5 is equal to .
(a) 3:2 (b) 2:1 (c) 3:1 (d) 4:1
Solution.
22.5/20.5
= (22.5 . 2-0.5)/1
22/1 = 4/1 = 4:1
Solution
Q4.
A worker get Rs.230/day, after getting hike in salary as 15%. find the salary of worker before increment in salary.
(a) 200 (b) 150 (c) 100 (d) 460
Solution.
(a) 200
Solution
Q5.
If the population of a town was reduced by 12% in a particular year and in the next it was increased by 15%. What is the percentage effect
on the population on the last day of 2nd year.
(a) 2.2% (b) 1% (c) 2% (d) 1.2%
Solution.
a + b + ab/2
= 15 - 12 - (15 x 12)/100
= 1.2%
Solution
Q6.
In compound partnership, the ratio of profit is directly proportional to both money and time.
(a) false (b) true
(c) can'tsay
Solution.
(b) true
Solution
Q7.
A,B and C invested capitals in the ratio 3:2:4 and investment period in the ratio 3:4:5. find their profit ratio.
(a) 9:8:20 (b) 9:10:20 (c) 8:7:5 (d) 3:2:1
Solution.
(a) 9:8:20
Solution
Q8.
Mean of x is 19,what will be mean (Average) of y = 2x - 8.
(a) 20 (b) 30 (c) 19 (d) 38
Solution.
(b) 30
Solution
Q9.
The age of a man is 4 times that of his son. 5 yrs ago the man was nine times as old as his son was at that time . what is present age of son?
(a) 8 (b) 10 (c) 12 (d) 14
Solution.
y = 4x ------------------ 1
y = father's age
x = son's age
(y - 5) = 9(x - 5)
4x - 5 = 9x - 45
x = 8
Solution
Q10.
The sum of the ages of a son and father is 56. After 4 yrs the age of the father will be three times that of the son. what is the age of the son?
(a) 10 yrs (b) 12 yrs (c) 18 yrs (d) 20 yrs
Solution.
F + S = 56 ------------- 1
(F + 4) = 3(S + 4)
F + 4 = 35 + 12
F - 35 = 8 ---------- 2
S = 12 yrs
Solution
