Question

All answers given in the qn above please

Answer 1

➤ Answer (1) :-

${\tt \longrightarrow (a) \: 0.45 = \dfrac{45}{100}}$

${\tt \longrightarrow \dfrac{45}{100} \times 100}$

${\tt \longrightarrow \dfrac{45}{\cancel{100}} \times \cancel{100} = 45 \times 1}$

${\tt \longrightarrow \boxed{\tt 45 \bf\%}}$

$\:$

${\tt \longrightarrow (b) \: 5.1 = \dfrac{51}{10}}$

${\tt \longrightarrow \dfrac{51}{10} \times 100}$

${\tt \longrightarrow \dfrac{51}{\cancel{10}} \times \cancel{100} = 51 \times 10}$

${\tt \longrightarrow \boxed{\tt 510 \bf\%}}$

$\:$

${\tt \longrightarrow (c) \: 0.05 = \dfrac{5}{100}}$

${\tt \longrightarrow \dfrac{5}{100} \times 100}$

${\tt \longrightarrow \dfrac{5}{\cancel{100}} \times \cancel{100} = 5 \times 1}$

${\tt \longrightarrow \boxed{\tt 5 \bf\%}}$

➤ Answer (2) :-

${\tt \longrightarrow (a) \: 50 \bf\% \tt = \dfrac{50}{100} = \boxed{\tt 0.5}}$

${\tt \longrightarrow \cancel \dfrac{50}{100} = \boxed{{\tt \dfrac{1}{2}}}}$

${\tt \longrightarrow (b) \: 170 \bf\% \tt = \dfrac{170}{100} = \boxed{\tt 1.7}}$

${\tt \longrightarrow \cancel \dfrac{170}{100} = \boxed{{\tt \dfrac{17}{10}}}}$

➤ Answer (3) :-

Rohan's salary :-

${\tt \longrightarrow 10 \bf\% \tt \: \: of \: \: (x) = 5000}$

${\tt \longrightarrow \dfrac{10}{100} \times (x) = 5000}$

${\tt \longrightarrow (x) = \dfrac{5000 \times 100}{10}}$

${\tt \longrightarrow \dfrac{5000 \times 100}{10} = \dfrac{500000}{10}}$

${\tt \longrightarrow \cancel \dfrac{500000}{10} = \boxed{\tt Rs \: \: 50000}}$

Rohan's expense and percentage :-

${\tt \longrightarrow 50000 - 5000}$

${\tt \longrightarrow \boxed{\tt Rs \: \: 45000}}$

${\tt \longrightarrow \dfrac{45000}{50000} \times 100}$

${\tt \longrightarrow \dfrac{45000}{\cancel{50000}} \times \cancel{100} = \dfrac{45000}{500}}$

${\tt \longrightarrow \cancel \dfrac{45000}{500} = \boxed{\tt 90 \bf\%}}$

➤ Answer (4) :-

Loss percentage :-

${\tt \longrightarrow \dfrac{14000 - 9750}{14000} \times 100}$

${\tt \longrightarrow \dfrac{4250}{14000} \times 100}$

${\tt \longrightarrow \dfrac{4250}{\cancel{14000}} \times \cancel{100} = \dfrac{4250}{140}}$

${\tt \longrightarrow \cancel \dfrac{4250}{140} = \boxed{\tt 30.3 \bf\%}}$

➤ Answer (5) :-

Percentage of people voted :-

${\tt \longrightarrow \dfrac{50000}{75000} \times 100}$

${\tt \longrightarrow \dfrac{50000}{\cancel{75000}} \times \cancel{100} = \dfrac{50000}{750}}$

${\tt \longrightarrow \cancel \dfrac{50000}{750} = \boxed{\tt 66.66 \bf\%}}$

Total women who voted :-

${\tt \longrightarrow 20 \bf\% \tt \: \: of \: \: 50000}$

${\tt \longrightarrow \dfrac{20}{100} \times 50000}$

${\tt \longrightarrow \cancel \dfrac{20}{100} \times 50000 = \dfrac{1}{5} \times 50000}$

${\tt \longrightarrow \dfrac{1 \times 50000}{5} = \dfrac{50000}{5}}$

${\tt \longrightarrow \cancel \dfrac{50000}{5} = \boxed{ \tt 10000 \: \: women}}$

➤ Answer (6) :-

${\tt \longrightarrow \dfrac{90 \times 100}{9 \times 1}}$

${\tt \longrightarrow \cancel \dfrac{9000}{9} = \boxed{ \tt Rs \: \: 1000}}$

➤ Answer (7) :-

${\tt \longrightarrow 18 \bf\% \tt \: \: of \: \: 2460}$

${\tt \longrightarrow \dfrac{18}{100} \times 2460}$

${\tt \longrightarrow \dfrac{18}{\cancel{100}} \times \cancel{2460} = \dfrac{18}{5} \times 123}$

${\tt \longrightarrow \dfrac{18 \times 123}{5} = \dfrac{2214}{5}}$

${\tt \longrightarrow \cancel \dfrac{2214}{5} = 442.8}$

${\tt \longrightarrow 2460 + 442.8}$

${\tt \longrightarrow \boxed{ \tt Rs \: \: 2902.8}}$

➤ Answer (8) :-

${\tt \longrightarrow \dfrac{(100 + 10)}{100} \times 1500}$

${\tt \longrightarrow \dfrac{110}{\cancel{100}} \times \cancel{1500} = 110 \times 15}$

${\tt \longrightarrow \boxed{ \tt Rs \: \: 1650}}$

➤ Answer (9) :-

${\tt \longrightarrow (a) \: 18 \bf\% \tt \: \: of \: \: (x) = 1080}$

${\tt \longrightarrow \dfrac{18}{100} \times (x) = 1080}$

${\tt \longrightarrow (x) = \dfrac{1080 \times 100}{18}}$

${\tt \longrightarrow \cancel \dfrac{108000}{18} = \boxed{ \tt Rs \: \: 6000}}$

$\:$

${\tt \longrightarrow (b) \: 30 \bf\% \tt \: \: of \: \: (x) = 900}$

${\tt \longrightarrow \dfrac{30}{100} \times (x) = 900}$

${\tt \longrightarrow (x) = \dfrac{900 \times 100}{30}}$

${\tt \longrightarrow \cancel \dfrac{90000}{30} = \boxed{ \tt 3000 \: \: km}}$

➤ Answer (10) :-

${\tt \longrightarrow \dfrac{100}{(100 - 10)} \times 879}$

${\tt \longrightarrow \cancel \dfrac{100}{90} \times 879 = \dfrac{10}{9} \times 879}$

${\tt \longrightarrow \dfrac{10 \times 879}{9} = \dfrac{8790}{9}}$

${\tt \longrightarrow \cancel \dfrac{8790}{9} = \boxed{ \tt Rs \: \: 976.6}}$