GATE Online Mock Test Series FREE For Limited Time         Attempt Free Tests at GyanPal.com

CS, EC, EE, IN and ME branches

# Aptitude: Ratios & Proportion Solved Problems

PageInfo

"Ratio and Proportion" is very important topic of Aptitude questions. This page deals with simple solved problems on Ratio and Proportion. To get a good score in BANK PO, Bank clerk, SBI Po etc examinations practicing these questions will be very useful.

Instructions
 Attempt all question. Click on options to check your answer. Use the timer on the right if want to calculate time taken in solving the questions.
 1 A sum of money is to be distributed among A, B, C, D in the proportion of $5 : 2 : 4 : 3$. If C gets Rs. 1000 more than D, what is B's share?
 A. Rs. 500 B. Rs. 1500 C. Rs. 2000 D. None of these
View Ans
 Answer – (C)Solution:Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively. Then, $4x - 3x = 1000$ ⇒ $x = 1000.$ B's share $= Rs. 2x = Rs. (2 × 1000) =$ Rs. 2000.
 2 A and B together have Rs. 1210. If $4/15$ of A's amount is equal to $2/5$ of B's amount, how much amount does B have?
 A. Rs. 460 B. Rs. 484 C. Rs. 550 D. Rs. 664
View Ans
 Answer – (B)Solution:${4/15}×A = {2/5}×B$ ⇒ $A = ({2/5}×{15/4})B$ ⇒ $A = {3/2}B$ ⇒ $A/B = 3/2$ ⇒ $A : B = 3 : 2.$ B's share = Rs. $(1210×{2/5})=$ Rs. 484.
 3 A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs.2.40 the number of girls is
 A. 35 B. 40 C. 45 D. 50
View Ans
 Answer – (B)Solution:Step (i) Let x be the number of boys and y be the number of girls. Given total number of boys and girls = 100 $x + y = 100$           -------------- (i)Step (ii) A boy gets Rs. 3.60 and a girl gets Rs. 2.40 The amount given to 100 boys and girls = Rs. 312 $3.60x +2.40y = 312$ -------------- (ii)Step (iii) Solving (i) and (ii) $3.60 x + 3.60y = 360$       ------- Multiply (i) by 3.60 ⇒ $3.60 x + 2.40y = 312$ --------- (ii) $1.20y = 48$ $y = 48/1.20 = 40$⇒ Number of girls = 40
 4 In a mixture 60 litres, the ratio of milk and water $2 : 1$. If the this ratio is to be $1 : 2$, then the quantity of water to be further added is:
 A. 20 litres B. 30 litres C. 40 litres D. 60 litres
View Ans
 Answer - (D)Solution:Quantity of milk $= (60 × {2/3})$ litres $= 40$ litres. Quantity of water in it $= (60- 40)$ litres $= 20$ litres. New ratio $= 1 : 2$Let quantity of water to be added further be x litres. Then, $\text"milk : water" = (40/{20 + x})$Now, $(40/{20 + x }) = 1/2$ ⇒ $20 + x = 80$ ⇒ $x =$ 60
 5 Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
 A. $2 : 5$ B. $3 : 5$ C. $4 : 5$ D. $5 : 4$
View Ans
 Answer – (C)Solution:Let the third number be x.Then, first number $= 120%$ of $x = {120x}/100 = {6x}/ 5$ Second number $= 150%$ of $x = {150x}/100 = {3x}/ 2$ Ratio of first two numbers $= ({6x}/5 : {3x}/2) = 12x : 15x =$ 4 : 5