In last three months, Mr.sharma lost $5 \frac{1}{2}$ kg, gained $2 \frac{1}{4}$kg and then lost $3 \frac{3}{4}$ kg. If he now weighs 95 kg, how much did Mr.Sharma weighs begin with?

Academic Mathematics NCERT Class 8

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Updated on: 10-Oct-2022

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Solve(a) \( \frac{2}{3}+\frac{1}{7} \)(b) \( \frac{3}{10}+\frac{7}{15} \)(c) \( \frac{4}{9}+\frac{2}{7} \)(d) \( \frac{5}{7}+\frac{1}{3} \)(e) \( \frac{2}{5}+\frac{1}{6} \)(f) \( \frac{4}{5}+\frac{2}{3} \)(g) \( \frac{3}{4}-\frac{1}{3} \)(h) \( \frac{5}{6}-\frac{1}{3} \)(i) \( \frac{2}{3}+\frac{3}{4}+\frac{1}{2} \)(j) \( \frac{1}{2}+\frac{1}{3}+\frac{1}{6} \)(k) \( 1 \frac{1}{3}+3 \frac{2}{3} \)(l) \( 4 \frac{2}{3}+3 \frac{1}{4} \)(m) \( \frac{16}{5}-\frac{7}{5} \)(n) \( \frac{4}{3}-\frac{1}{2} \)
A cook purchases $5 \frac{1}{6}$ Kg potatoes, $3 \frac{5}{12}$ Kg tomatoes, and $1 \frac{5}{9}$ Kg carrots. What is the total quantity of the vegetables purchased?
Simplify:\( 5 \frac{1}{4} \p 2 \frac{1}{3}-4 \frac{2}{3} \p 5 \frac{1}{3} \times 3 \frac{1}{2} \)
Find $33 \frac{2}{3}$ % of 120 Kg
$\frac{4}{5}$ of 5 Kg apples were used on Monday. The next day $\frac{1}{3}$ of what was left was used. Weight ( In Kg ) of apples left now is?
Prove that:\( \frac{2^{\frac{1}{2}} \times 3^{\frac{1}{3}} \times 4^{\frac{1}{4}}}{10^{\frac{-1}{5}} \times 5^{\frac{3}{5}}} \p \frac{3^{\frac{4}{3}} \times 5^{\frac{-7}{5}}}{4^{\frac{-3}{5}} \times 6}=10 \)
Which is greater in each of the following:$(i)$. $\frac{2}{3},\ \frac{5}{2}$$(ii)$. $-\frac{5}{6},\ -\frac{4}{3}$$(iii)$. $-\frac{3}{4},\ \frac{2}{-3}$$(iv)$. $-\frac{1}{4},\ \frac{1}{4}$$(v)$. $-3\frac{2}{7\ },\ -3\frac{4}{5}$
Solve $7\frac{1}{3}\div \frac{2}{3}$ of $2\frac{1}{5}+1\frac{3}{8}\div 2\frac{3}{4}-1 \frac{1}{2}$.
Verify the Following by using suitable property: $(\frac{5}{4}+\frac{-1}{2})+\frac{-3}{2}= \frac{5}{4}+(\frac{-1}{2}+\frac{-3}{2})$
Find five rational numbers between.(i) \( \frac{2}{3} \) and \( \frac{4}{5} \)(ii) \( \frac{-3}{2} \) and \( \frac{5}{3} \)(iii) \( \frac{1}{4} \) and \( \frac{1}{2} \).
\( 3+\frac{-1}{2}+\frac{-3}{4} \)
Solve the following:$3 \frac{2}{5} \div \frac{4}{5} of \frac{1}{5} + \frac{2}{3} of \frac{3}{4} - 1 \frac{35}{72}$.
Solve:$3\frac{2}{7} \ \div \ 4\frac{3}{5} \ \times \ 1\frac{1}{2}$
Add: $4 \frac{1}{2}+3 \frac{2}{4}$.
Draw number lines and locate the points on them:(a) \( \frac{1}{2}, \frac{1}{4}, \frac{3}{4}, \frac{4}{4} \)(b) \( \frac{1}{8}, \frac{2}{8}, \frac{3}{8}, \frac{7}{8} \)(c) \( \frac{2}{5}, \frac{3}{5}, \frac{8}{5}, \frac{4}{5} \)

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