FBISE, NCP & NBF-aligned resources for Classes 9–12
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Math Chapter 2 : Topic 5
Rational-Number Applications
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A shopkeeper has $120$ items. He sells $45$ items and receives $30$ new items. What is the current stock?
Reasoning: $(120 - 45 + 30 = 105)$
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Temperature in a city is $- \ 3^{o}C$. It increases by $7^{o}C$. Final temperature is:
Reasoning: $- \ 3 + 7 = 4^{o}C$
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A bank account has Rs. $5000$. Rs. $1500$ is withdrawn. What is the remaining balance?
Reasoning: $(5000 - 1500 = 3500)$
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A person earns Rs. $8000$ and spends Rs. $9500$. His financial position is:
Reasoning: $(8000 - 9500 = - 1500)$, so loss.
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Which situation represents a negative rational number?
Reasoning: Debt represents negative value.
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If temperature drops from $6^{o}C$ to $- \ 2^{o}C$, change is:
Reasoning: $- \ 2 - 6 = - \ 8^{o}C$
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A shop buys an item for Rs. $250$ and sells it for Rs. $300$. Profit is:
Reasoning: $(300 - 250 = 50)$
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Which of the following represents expenditure?
Reasoning: Expenditure means money going out.
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A bank account shows Rs. $- \ 1200$. This means:
Reasoning: Negative balance indicates debt.
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If income is Rs. $7000$ and expenditure is Rs. $7000$, result is:
Reasoning: Income equals expenditure.
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A freezer temperature is $- 10^{o}\ C$. It rises by $4^{o}C$. New temperature is:
Reasoning: $- \ 10 + 4 = - \ 6^{o}C$
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A person earns Rs. $5000$ and saves Rs. $1200$. His expenditure is:
Reasoning: $(5000 - 1200 = 3800)$
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Which is an example of gain?
Reasoning: Gain occurs when selling price is higher.
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A shopkeeper loses Rs. $250$ on an item. This means:
Reasoning: Loss is represented by negative number.
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If stock decreases by $30$ items and increases by $50$ items, net change is:
Reasoning: $( - \ 30 + 50 = 20)$
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Which operation is most used in inventory management?
Reasoning: Stock is updated using $+$ and $-$ operations.
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A temperature of $5^{o}\ C$ decreases by $12^{o}C$. Final temperature is:
Reasoning: $5 - 12 = {- \ 7}^{o}C$
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Which represents income?
Reasoning: Income is money coming in.
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A bank gives Rs. $200$ interest. This is:
Reasoning: Interest received is income.
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If expenditure exceeds income, the result is:
Reasoning: Spending more than income causes loss.
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A store had $200$ items. $80$ were sold, then $40$ were returned. Final stock is:
Reasoning: $200 - 80 + 40 = 160$
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Which situation is best represented by a rational number?
Reasoning: Rational numbers include negatives and fractions used in real-life changes.
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A person has Rs. $1000$ debt and pays Rs. $400$. Remaining debt is:
Reasoning: $( - 1000 + 400 = - \ 600)$, so remaining debt is $600$.
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