9. a) Mr Ghimire spends \( \frac{7}{10} \) parts of his income every month which amoumis to Rs 28000 . (i) Find his income every month. (ii) How much does he save in a year?
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The Deep Dive
To find Mr. Ghimire’s monthly income, we can set up the equation \( \frac{7}{10} \times \text{Income} = 28,000 \). By rearranging the equation, we get: \[ \text{Income} = \frac{28,000 \times 10}{7} = 40,000. \] So, Mr. Ghimire's monthly income is Rs 40,000. To calculate his savings in a year, first determine his monthly savings. He saves \( \frac{3}{10} \) of his income since he spends \( \frac{7}{10} \). \[ \text{Savings per month} = \frac{3}{10} \times 40,000 = 12,000. \] His annual savings would be: \[ \text{Annual savings} = 12,000 \times 12 = 1,44,000. \] Therefore, Mr. Ghimire saves Rs 1,44,000 in a year.
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