An army lost 10 % of its men in war,10 % of t | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the original strength of the army be $x$.After losing $10 \%$ in war,the remaining men are $x 	imes (1 - 0.10) = 0.9x$.After $10 \%$ of the r

Vedclass · Accepted Answer

$1,000,000$

Vedclass · Answer

(A) Let the original strength of the army be $x$.After losing $10 \%$ in war,the remaining men are $x 	imes (1 - 0.10) = 0.9x$.After $10 \%$ of the remaining died due to disease,the remaining men are $0.9x 	imes (1 - 0.10) = 0.9x 	imes 0.9 = 0.81x$.After $10 \%$ of the rest were declared disabled,the remaining active men are $0.81x 	imes (1 - 0.10) = 0.81x 	imes 0.9 = 0.729x$.Given that the final strength is $729,000$,we have $0.729x = 729,000$.Solving for $x$: $x = \frac{729,000}{0.729} = 1,000,000$.Therefore,the original strength of the army was $1,000,000$.

An army lost $10 \%$ of its men in war,$10 \%$ of the remaining died due to disease,and $10 \%$ of the rest were declared disabled. Thus,the strength of the army was reduced to $7,29,000$ active men. What was the original strength of the army?

Similar Questions

Two years ago,the value of a motorbike was $₹ 62,500$. If the value depreciates by $4 \%$ every year,what is its value now?

If a number $x$ is $10 \%$ less than another number $y$ and $y$ is $10 \%$ more than $125,$ then $x$ is equal to

If the side of a square is increased by $30 \%,$ its area is increased by:

Ram donated $4 \%$ of his income to a charity and deposited $10 \%$ of the rest in a bank. If now he has $Rs$ $8640$ left with him,then his income is

In an examination,there are $1000$ boys and $800$ girls. $60 \%$ of boys and $40 \%$ of girls passed. The percentage of candidates that failed is: (in $\%$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module