Miscellaneous Question 61

In the given questions, two quantities are given. One as Quantity-I and another is Quantity-II. You have to determine relationship between these two quantities and choose the appropriate options as given below :

(1) Quantity-I $>$ Quantity-II

(2) Quantity-I $<$ Quantity-II

(3) Quantity-I $\leq$ Quantity-II

(4) Quantity-I $\geq$ Quantity-II

(5) Quantity-I = Quantity-II (or) relationship cannot be established

(Canara Bank PO Exam, 23.12.2018)

  1. A and B started a business. After eight months from the start of the business, A left and C joined. The amount invested by $B$ was twice of that invested by A. The amount invested by $C$ was thrice of that invested by A. B got Rs. 252 as the share from the total annual profit earned.

Quantities:

I. Total annual profit

II. Rs. 9000

Show Answer

Correct Answer: 61. (2)

Solution: 61. (2) A’s investment = Rs. $x$

$\therefore$ B’s investment $=$ Rs. $2 x$

C’s investment $=$ Rs. $3 x$

$\therefore$ Ratio of equivalent capitals of

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ for 1 month

$=x \times 8: 2 x \times 12: 3 x \times 4$

$=2: 6: 3$

Sum of the terms of ratio

$=2+6+3=11$

$\therefore$ Total annual profit

$=\frac{11}{6} \times 252=$ Rs. 462

$\therefore$ Quantity I $<$ Quantity II