Pregunta
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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?

Ask by Romero Bob. in Nepal
Nov 14,2024

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Mr. Ghimire's income every month is Rs 40000, and he saves Rs 12000 in a year.

Solución

Given: - Mr. Ghimire spends \( \frac{7}{10} \) parts of his income every month, which amounts to Rs 28000. Let's denote: - \( x \) as Mr. Ghimire's income every month. We know that \( \frac{7}{10} \) of his income is Rs 28000, so we can set up the equation: \[ \frac{7}{10}x = 28000 \] To find his income every month, we need to solve for \( x \). Let's solve for \( x \) using the equation above. Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{7}{10}x=28000\) - step1: Multiply by the reciprocal: \(\frac{7}{10}x\times \frac{10}{7}=28000\times \frac{10}{7}\) - step2: Multiply: \(x=40000\) The solution to the equation \( \frac{7}{10}x = 28000 \) is \( x = 40000 \). So, Mr. Ghimire's income every month is Rs 40000. Now, to find out how much he saves in a year, we need to calculate the amount he saves in a month and then multiply it by 12 (the number of months in a year). Let's calculate the amount he saves in a month first. Calculate the value by following steps: - step0: Calculate: \(40000-28000\) - step1: Subtract the numbers: \(12000\) Mr. Ghimire saves Rs 12000 in a month. To find out how much he saves in a year, we multiply the monthly savings by 12 (the number of months in a year). Let's calculate the annual savings. Calculate the value by following steps: - step0: Calculate: \(12000\times 12\) - step1: Multiply the numbers: \(144000\)

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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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