Last year, there were 610 boys in a school. The number decreased by 20% this year. How many girls are there in

Question

Last year, there were 610 boys in a school. The number decreased by 20% this year. How many girls are there in the school if the number of girls is 175% of the total number of boys in the school this year?

Examoogle · Accepted Answer

The correct answer is Option A: 854. Calculate this year's boys as 80% of last year's count ($610 	imes 0.8 = 488$), then multiply by 1.75 ($1.75 = \frac{7}{4}$) to get the number of girls ($488 	imes \frac{7}{4} = 854$).

Step-by-Step Solution & Concepts:
Shortcut Trick: Calculate this year's boys as 80% of last year's count ($610 	imes 0.8 = 488$), then multiply by 1.75 ($1.75 = \frac{7}{4}$) to get the number of girls ($488 	imes \frac{7}{4} = 854$).

Formula Used: $$	ext{Girls} = 1.75 	imes 	ext{Boys}_{	ext{this year}}$$

Given: Number of boys last year = 610, decrease in boys this year = 20%, number of girls = 175% of this year's boys

Steps: Step 1: Calculate the number of boys this year: Last year there were $610$ boys, and the number decreased by $20\%$ this year. So, the number of boys this year is $80\%$ of $610$.. Step 2: Calculate the number of girls: The number of girls is given as $175\%$ of this year's total number of boys.

Answer: A is correct because the number of boys this year is $488$ and multiplying by $1.75$ gives $854$ girls.

Exam Tip: Questions involving successive percentage changes and proportional relationships frequently appear in RRB and banking examinations.

Correct Answer

Solve 10,000+ More Questions with AI Tutor

Discussion (0)

Correct Answer

Solve 10,000+ More Questions with AI Tutor

Related Questions

Discussion (0)