Exercis
Q. 1. State whether right or wrong with reasons.
(a) The future of tourism is bright in India
due to its natural diversity.
(b) Tourism is an invisible trade.
(c) The indicator of development in a coun
try is the development of
Answers
Explanation:
Answer:
Given :-
25 men working 8 hours a day produce 200 toys in 10 days.
1000 toys will be produce by 100 men in 10 hours a day.
To Find :-
In how many days 1000 toys will be produce by 100 men, if they work 10 hours a day.
Solution :-
{\small{\bold{\purple{\underline{In\: the\: {1}^{{st}}\: case\: :-}}}}}
Inthe1
st
case:−
Given :
Total number of men = 25
Total number of toys = 200
Total time taken = 8 × 10 = 80 hours
{\small{\bold{\purple{\underline{In\: the\: {2}^{{nd}}\: case\: :-}}}}}
Inthe2
nd
case:−
Given :
Total number of men = 100
Total number of toys = 1000
Total time taken = 10D hours
Now, according to the question :
\begin{gathered} \implies \sf 25 \times 200 \times 80 =\: 100 \times 1000 \times 10D\\\end{gathered}
⟹25×200×80=100×1000×10D
\begin{gathered} \implies \sf 5000 \times 80 =\: 100000 \times 10D\\\end{gathered}
⟹5000×80=100000×10D
\implies \sf 400000 =\: 1000000D⟹400000=1000000D
\implies \sf \dfrac{40000\cancel{0}}{100000\cancel{0}} =\: D⟹
100000
0
40000
0
=D
\implies \sf \dfrac{4000\cancel{0}}{10000\cancel{0}} =\: D⟹
10000
0
4000
0
=D
\implies \sf \dfrac{400\cancel{0}}{1000\cancel{0}} =\: D⟹
1000
0
400
0
=D
\implies \sf \dfrac{40\cancel{0}}{100\cancel{0}} =\: D⟹
100
0
40
0
=D
\implies \sf \dfrac{4\cancel{0}}{10\cancel{0}} =\: D⟹
10
0
4
0
=D
\implies \sf \dfrac{\cancel{4}}{\cancel{10}} =\: D⟹
10
4
=D
\implies \sf \dfrac{2}{5} =\: D⟹
5
2
=D
\implies \sf\bold{\purple{D =\: \dfrac{2}{5}\: days}}⟹D=
5
2
days
Hence, the required day is :
\dashrightarrow \sf Total\: time\: taken =\: {\cancel{10}} \times \dfrac{2}{\cancel{5}}⇢Totaltimetaken=
10
×
5
2
\dashrightarrow \sf Total\: time\: taken =\: 2 \times 2⇢Totaltimetaken=2×2
\dashrightarrow \sf\bold{\red{Total\: time\: taken\: =\: 4\: days}}⇢Totaltimetaken=4days
\therefore∴ In 2/5 days 1000 toys will be produce by 100 men, if they work 10 hours a day.