A and B are two fixed points 5 cm apart and c is a point on AB such that AC = 3 cm. If the length of AC is increased by 6 % the length of CB is decreased by:_________?

A and B are two fixed points 5 cm apart and c is a point on AB such that AC = 3 cm. If the length of AC is increased by 6 % the length of CB is decreased by:_________?

A. 6 %
B. 7 %
C. 8 %
D. 9 %
Explanation:
AC = 3cm, CB = (5 – 3)cm = 2 cm
New length AC = 106 % of 3 cm
= (106/100 ×3) cm = 3.18 cm.
New length CB = (5 – 3.18) cm = 1.82 cm
CB Decreased on 2cm = (2 – 1.82)cm = 0.18cm
CB Decrease % = (0.18/2 ×100) % = 9 %

5 % of the income of A is equal to 15 % of the income of B and 10 % of the income of B is equal to 20 % of the income of c. If the income of C is Rs. 2000. What is the total income of A, B and C?

5 % of the income of A is equal to 15 % of the income of B and 10 % of the income of B is equal to 20 % of the income of c. If the income of C is Rs. 2000. What is the total income of A, B and C?

A. Rs. 14000
B. Rs 16000
C. Rs. 18000
D. Rs. 12400
Explanation:
10/100 × B = 20/100 × c
=>B = 2c =>B = (2 × 2000) = 4000
5/100 × A = 5/100 × B =>A = 3B = (3 × 4000) = 12000
(A + B + C) = Rs (12000 + 4000 + 2000) = Rs. 18000

The ratio of the number of boys and girls is 3:2 if 20 % of the boys and 30 % of the girls are scholarship holders then the percentage of students who do not get scholarship is_________?

The ratio of the number of boys and girls is 3:2 if 20 % of the boys and 30 % of the girls are scholarship holders then the percentage of students who do not get scholarship is_________?

A. 50
B. 72
C. 75
D. 76
Explanation:
Let the number of boys be 3x and number of girls be 2x.
Number of scholarship holders
= (20/100 ×3x+ 30/100 ×2x) = 6x/5
Number of those who do not hold scholarship
= (5x- 6x/5) = 19x/5
Required percentage = (19x/5 × 1/5x ×100) % = 76 %