Practice Pakistan questions with answers and explanations.
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Initially, milk is 42 liters and water is 18 liters.
For a 7:5 ratio with 42 liters milk, water must be 30 liters, so add 12.
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Profit is shared in the ratio of investments, 3:5.
B receives 5/8 of Rs. 16,000 = Rs. 10,000.
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Let the numbers be 5k and 8k; then (5k + 9)/(8k + 9) = 2/3.
Solving gives k = 9, so the smaller number is 45.
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Capital-time products are 40,000 × 12 and 60,000 × 8.
Both equal 480,000, so the ratio is 1:1.
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Profit equals selling price minus cost price.
Thus, 920 - 800 = Rs. 120.
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A 10% loss on Rs. 1,200 is Rs. 120.
Subtracting gives a selling price of Rs. 1,080.
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The selling price is 125% of the cost price.
Thus, cost price = 1,500 ÷ 1.25 = Rs. 1,200.
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The discount is 15% of Rs. 2,000, which is Rs. 300.
The sale price is Rs. 2,000 - Rs. 300 = Rs. 1,700.
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After a 10% discount, 90% remains; after another 20%, 80% of that remains.
The final price is 72%, so the total discount is 28%.
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Let cost be 100; marked price is 125 and sale price is 90% of 125 = 112.5.
The profit is 12.5 on a cost of 100.
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For inverse variation, xy is constant.
Since 12 × 4 = 48, x = 48/6 = 8.
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Two centimeters represent 100,000 centimeters in reality.
Since 100,000 cm = 1 km, the answer is 1 kilometer.
