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# Aptitude: Ratios & Proportion Solved Problems

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"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
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 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