A class has 20 boys with average score 60 and 30 girls with average score 70. What is the class average?
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The total score is 20 × 60 + 30 × 70 = 3,300.
Dividing by 50 students gives 66.
Practice ECAT questions with answers and explanations.
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The total score is 20 × 60 + 30 × 70 = 3,300.
Dividing by 50 students gives 66.
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One third of 3/4 is 1/4 of the full tank.
The remaining amount is 3/4 - 1/4 = 1/2.
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The total ratio parts are 7, so one part is 35/7 = 5 liters.
Water is two parts, or 10 liters.
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One hundred fifty percent equals 1.5.
Multiplying 80 by 1.5 gives 120.
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Since 12.5% = 1/8, one eighth of the number is 25.
The whole number is 25 × 8 = 200.
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After a 30% discount, 70% of the original price remains.
Thus, the original price is 840 ÷ 0.70 = 1,200.
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The decrease is Rs. 75.
The percentage decrease is 75/500 × 100 = 15%.
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Let the number be x, so 0.40x = 72.
Dividing by 0.40 gives x = 180.
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Percent means per hundred.
Thus, 3.5% = 3.5 ÷ 100 = 0.035.
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The required percentage is 45/250 × 100.
This equals 18%.
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The score fraction is 42/50.
Multiplying by 100 gives 84%.
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Starting from 100, a 10% increase gives 110.
A 10% decrease from 110 gives 99, which is 1% lower.