ABC26GN1089 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:

Mayank, Mirza, Little and Jaspal bought a motorbike for ₹ 60000. Mayank paid one-half of the sum of the amounts paid by the other boys, Mirza paid one-third of the sum of the amounts paid by the other boys and Little paid one-fourth of the sum of the amounts paid by the other boys. How much did Jaspal have to pay?

(a)₹ 13000

(b)₹ 15000

(c)17000

(d)None of these

Answer

Answer (as printed): A

Explanation

Suppose Mayank, Mirza and Little paid ₹ $x$, ₹ $y$ and ₹ $z$ respectively. $$\begin{aligned} & \text { Then, } x=\frac{1}{2}(60000-x), y=\frac{1}{3}(60000-y), z=\frac{1}{4}(60000-z) . \\ & \Rightarrow \quad 2 x=60000-x, 3 y=60000-y, 4 z=60000-z \\ & \Rightarrow \quad 3 x=60000,4 y=60000,5 z=60000 \end{aligned} \Rightarrow \quad x=20000, y=15000, z=12000 .$$ Amount paid by Jaspal $$=₹[60000-(20000+15000+12000)]=₹ 13000 .$$

Explanation as extracted from the printed page; notation may be imperfect.

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