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Exercise 9 · Q7

Q.Satyarth and Swarit are brothers. Satyarth owns a house which is worth ₹3 crores and Swarit owns a farmhouse which is worth ₹2.75 crores. But Satyarth has a debt of ₹55 lakhs. If they both sell their properties then which of the following statement(s) holds true to represent the above data mathematically:

a) Satyarth's net worth is more than Swarit's net worth.
b) Swarit's net worth is more than Satyarth's net worth.
c) 2.55<2.752.55 < 2.75
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After debt, Satyarth's net worth is ₹2.55₹2.55 crores and Swarit's is ₹2.75₹2.75 crores, so 2.55<2.752.55<2.75 — Swarit's net worth is greater (statements b and c hold).

Net Worth=Value of Assets−Debt\text{Net Worth} = \text{Value of Assets} - \text{Debt}

Compare the two net worths with a numerical inequality. (1 crore=100 lakhs1\text{ crore}=100\text{ lakhs}.)

  1. Satyarth's net worth: house ₹3₹3 crores minus debt ₹55₹55 lakhs =₹0.55=₹0.55 crores:

3−0.55=₹2.55 crores3 - 0.55 = ₹2.55\text{ crores}

  1. Swarit's net worth: farmhouse worth, no debt =₹2.75=₹2.75 crores.
  2. Compare: 2.55<2.752.55 < 2.75, so Swarit's net worth is more than Satyarth's. …

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