18 Kgs Apple
7 kgs mango = 10 kgs apple + 1 kg orange ………..(i)
7 kgs orange = 1 kgs mango + 2 kgs apple ………….(ii)
Or, 1 kg mango = 7 kgs orange – 2 kgs apple ………….(iii)
Now from (i) x 7 — (iii) we get,
49 kgs mango = 70 kgs apple + 7 kgs orange
1 kg mango = 7 kgs orange — 2 kgs apple
48 kgs mango = 72 kgs apple
12 kgs mango = $\frac{72 x 12}{48}$ kgs apple
= 18 kgs apple
5 %
Defective products =$\frac{1}{5}$
Hence Good products = (1 – $\frac{1}{5}$) =$\frac{4}{5}$
Rejected of good products = $\frac{4}{5}$ of $\frac{1}{20}$=$\frac{1}{25}$
Rejected of defective products = $\frac{1}{5}$ of $\frac{4}{5}$ = $\frac{4}{25}$
Sold of defective products = $\frac{1}{5}$ – $\frac{4}{25}$ = $\frac{1}{25}$
Total rejected products = 1 – $\frac{1}{5}$ = $\frac{4}{5}$
Among $\frac{4}{5}$ sold products defective = $\frac{1}{25}$
Among 100 sold products defective =$\frac{100\cdot 5}{25 \cdot 4}$= 5%
10 days
A, B & C takes 2 days to complete = 1 work
A, B & C takes 1 days to complete =$\frac{1}{2}$ work
The rest of work = 1- $\frac{1}{2}$ = $\frac{1}{2}$
Only B takes 5 days to complete = 1 work
Only B takes 1 days to complete =$\frac{1}{5}$ work
Only C takes 4 days to complete = 1 work
Only C takes 1 days to complete =$\frac{1}{4}$ work
Jointly (B + C) can do in 1 day = $\frac{1}{5}$ + $\frac{1}{4}$ =$\frac{9}{20}$
A can do $\frac{1}{20}$ work in = 1 day
A can do 1 work in = 20 day
A can do $\frac{1}{2}$ work in = $\frac{20}{2}$ = 10 days
6 pens
Let, He purchased x number of pens
He purchased = 11 —x number of pencils
According to the question
X x25+(11—x)x 10=200
=> 25x +110—10x= 200
=> 15x = 90
So, x = 6
300 students.
Failed only in Math = (100 — 88) = 12%
Failed only in English = (100 — 87) = 13%
Failed in both subjects = (12 + 13) = 25%
So, Passed in both subjects = (100 – 25) = 75%
When passed 75 students, then attended students are = 100
When passed 225 students, then attended students are = $\frac{100}{225}$ = 300
9.30am
1st train takes 60 minutes for = 12 miles
1st train takes 20 minutes for =$\frac{12×20}{60}$ miles
= 4 miles
2nd train goes per 60 minutes more than 1st = (36 — 12) = 24 miles
2nd trains covers 24 miles each = 60 minutes
2′”1 trains covers 4 miles each = $\frac{60×4}{24}$ minutes
= 10 minutes.
They will meet at (9.00 am. + 10 minutes + 20 minutes) = 9.30am
60 %
Let, Number of Mathematics Books = x
So, Management = X x $\frac{1}{3}$ =$\frac{x}{3}$
Again, Accounting = $\frac{x}{3}$ x $\frac{1}{2}$ =$\frac{x}{6}$
Physics = $\frac{x}{6}$
Total number of books = (x +$\frac{x}{3}$+$\frac{x}{6}$+ $\frac{x}{6}$)
= $\frac{10x}{6}$ =$\frac{5x}{3}$
Among $\frac{5x}{3}$ books Mathematics = x
Among 100 books Mathematics =$\frac{x \cdot 3 \cdot 100}{5x}$= 60
So, Mathematics Books are 60%
