Miscellaneous Question 98

In each question, there are two different statements given as Quantity I and Quantity II. You have to consider the statements individually and mark your answer accordingly as per the given codes.

(1) Quantity I $>$ Quantity II

(2) Quantity I $<$ Quantity II

(3) Quantity I $\geq$ Quantity II

(4) Quantity I $\leq$ Quantity II

(5) Quantity I = Quantity II or relationship cannot be established (IBPS RRBs Officer CWE Prelim Exam, 13.09.2020)

  1. Quantity I : What is the percent of profit when an article of cost price Rs. 1250 is sold for Rs. 1500.

Quantity II : Net discount percentage availed by customer when he gets two successive discounts of $10 \%$ and $12.5 \%$.

Show Answer

Correct Answer: 98. (2)

Solution: 98. (2) Quantity I :

Profit percent

$=\left(\frac{1500-1250}{1250}\right) \times 100$

$=\frac{250 \times 10}{125}=20 \%$

Quantity II :

Single equivalent discount

$=\left(x+y-\frac{x y}{100}\right) \%$

$=\left(10+12.5-\frac{10 \times 12.5}{100}\right) \%$

$=22.5-1.25$

$=21.25 \%$

Clearly,

quantity I < quantity II