Ratio, Proportion
-
then the second part isIf 177 is divided into 3 parts in the ratio 1 : 2 : 4 , 2 3 5
-
View Hint View Answer Discuss in Forum
Ratio of division = 1 : 2 : 4 2 3 5 = 1 × 30 : 2 × 30 : 4 × 30 2 3 5
[LCM of 2, 3 and 5 = 30]
= 15 : 20 : 24
∴ Sum of the terms of ratio
= 15 + 20 + 24 = 59∴ Second part = Rs. 
20 × 177 
= Rs. 60 59 Correct Option: D
Ratio of division = 1 : 2 : 4 2 3 5 = 1 × 30 : 2 × 30 : 4 × 30 2 3 5
[LCM of 2, 3 and 5 = 30]
= 15 : 20 : 24
∴ Sum of the terms of ratio
= 15 + 20 + 24 = 59∴ Second part = Rs. 20 × 177 = Rs. 60 59
-
Two numbers are in the ratio 1 1 : 2 2 , 2 3
when each of these is increased by 15, they are in the ratio1 2 : 2 1 . The greater of the numbers 3 2
-
View Hint View Answer Discuss in Forum
andFirst number = 3x 2 second number = 8x 3
According to the question,= 3x + 15 = (5/3)/(5/2) 2 8x + 15 3 ⇒ 3x + 30 =(5/3) × (2/5) = 2/3 2 8x + 45 3 ⇒ (3x + 30) × 3 = 2 (8x + 45) × 2 3
⇒ 32x + 180 = 27x + 270
⇒ 32x – 27x = 270 – 180
⇒ 5x = 90⇒ x = 90 = 18 5 ∴ Larger number = 8x 3 = 8 × 18 = 48 3 Correct Option: C
andFirst number = 3x 2 second number = 8x 3
According to the question,= 3x + 15 = (5/3)/(5/2) 2 8x + 15 3 ⇒ 3x + 30 =(5/3) × (2/5) = 2/3 2 8x + 45 3 ⇒ (3x + 30) × 3 = 2 (8x + 45) × 2 3
⇒ 32x + 180 = 27x + 270
⇒ 32x – 27x = 270 – 180
⇒ 5x = 90⇒ x = 90 = 18 5 ∴ Larger number = 8x 3 = 8 × 18 = 48 3
-
If x = 3 , the ratio of (2x + 3y) and (3y – 2x) is y 4
-
View Hint View Answer Discuss in Forum
x = 3 (Given) y 4 ∴ 2x + 3y 3y − 2y = 2x + 3y y y 3y − 2x y y
(Dividing numerator and denominator by y)= 2x + 3 y 3 − 2. x y = 2 × 3 + 3 4 3 − 2 × 3 4 = 3 + 3 2 3 − 3 2 = 3 + 6 = 9 6 − 3 3
= 3 : 1Correct Option: D
x = 3 (Given) y 4 ∴ 2x + 3y 3y − 2y = 2x + 3y y y 3y − 2x y y
(Dividing numerator and denominator by y)= 2x + 3 y 3 − 2. x y = 2 × 3 + 3 4 3 − 2 × 3 4 = 3 + 3 2 3 − 3 2 = 3 + 6 = 9 6 − 3 3
= 3 : 1
-
then (A + B) : (B + C) is equal toIf A : B = 1 : 1 , B : C = 1 : 1 2 3 5 3
-
View Hint View Answer Discuss in Forum
A : B = 1 : 1 = 3 : 2 2 3 B : C = 1 : 1 = 3 : 5 5 3 A = 3 B 2 ⇒ A + B = 3 + 2 = 5 B 2 2 B = 3 : 5 ⇒ C = 5 C B 3 ⇒ C + B = 5 + 1 = 8 B 3 3 ∴ A + B = 5 ÷ 8 C + B 2 3 = 5 × 3 = 15 = 15 : 16 2 8 16 Correct Option: C
A : B = 1 : 1 = 3 : 2 2 3 B : C = 1 : 1 = 3 : 5 5 3 A = 3 B 2 ⇒ A + B = 3 + 2 = 5 B 2 2 B = 3 : 5 ⇒ C = 5 C B 3 ⇒ C + B = 5 + 1 = 8 B 3 3 ∴ A + B = 5 ÷ 8 C + B 2 3 = 5 × 3 = 15 = 15 : 16 2 8 16
- If x : y = 3 : 4, then the value of (4x – y) : (2x + 3y) is
-
View Hint View Answer Discuss in Forum
x = 3 y 4 ∴ 4x − y 2x + 3y = 4 x − 1 y 2 x + 3 y = 4 × 3 − 1 4 2 × 3 + 3 4 = 2 3 + 3 2 = 2 × 2 = 4 : 9 9 Correct Option: A
x = 3 y 4 ∴ 4x − y 2x + 3y = 4 x − 1 y 2 x + 3 y = 4 × 3 − 1 4 2 × 3 + 3 4 = 2 3 + 3 2 = 2 × 2 = 4 : 9 9
