FBISE, NCP & NBF-aligned resources for Classes 9–12
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Math Domain A.1 : Topic 6
Apply concepts of rational numbers to real word problems
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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 $-3^\circ C$. It increases by $7^\circ C$. Final temperature is:
$-3+7=4$
Therefore, final temperature is $4^\circ C$.
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A bank account has Rs. 5000. Rs. 1500 is withdrawn. What is the remaining balance?
$5000-1500=3500$
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A person earns Rs. 8000 and spends Rs. 9500. His financial position is:
$8000-9500=-1500$
A negative value indicates a loss of Rs. 1500.
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Which situation represents a negative rational number?
Debt is represented by a negative number.
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If temperature drops from $6^\circ C$ to $-2^\circ C$, change is:
$-2-6=-8$
Therefore, the change is $-8^\circ C$.
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A shop buys an item for Rs. 250 and sells it for Rs. 300. Profit is:
$300-250=50$
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Which of the following represents expenditure?
Expenditure means money spent or money going out.
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A bank account shows Rs. -1200. This means:
A negative bank balance indicates debt or overdraft.
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If income is Rs. 7000 and expenditure is Rs. 7000, result is:
$7000-7000=0$
No profit and no loss means break-even.
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A freezer temperature is $-10^\circ C$. It rises by $4^\circ C$. New temperature is:
$-10+4=-6$
Therefore, new temperature is $-6^\circ C$.
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A person earns Rs. 5000 and saves Rs. 1200. His expenditure is:
$5000-1200=3800$
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Which is an example of gain?
Gain occurs when selling price is greater than cost price.
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A shopkeeper loses Rs. 250 on an item. This means:
Loss is represented by a negative number.
$-250$
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If stock decreases by 30 items and increases by 50 items, net change is:
$-30+50=20$
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Which operation is most used in inventory management?
Stock is updated mainly through addition and subtraction.
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A temperature of $5^\circ C$ decreases by $12^\circ C$. Final temperature is:
$5-12=-7$
Therefore, final temperature is $-7^\circ C$.
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Which represents income?
Income means money received.
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A bank gives Rs. 200 interest. This is:
Interest received increases money and is considered income.
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If expenditure exceeds income, the result is:
When spending is greater than earnings, there is a loss.
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A store had 200 items. 80 were sold, then 40 were returned. Final stock is:
$200-80+40=160$
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Which situation is best represented by a rational number?
Rational numbers include positive numbers, negative numbers and fractions that are commonly used in temperature changes.
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A person has Rs. 1000 debt and pays Rs. 400. Remaining debt is:
$-1000+400=-600$
Therefore, the remaining debt is Rs. 600.
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