Algebra, arithmetic, reasoning.
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The increase is 20 on an original value of 80.
The percentage increase is 20/80 × 100 = 25%.
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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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For direct variation, x/y is constant.
The constant is 18/6 = 3, so x = 3 × 10 = 30.
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Simple interest is PRT/100.
So 5,000 × 8 × 3 ÷ 100 = Rs. 1,200.
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The cube root is the number that gives 729 when cubed.
Since 9³ = 729, the answer is 9.
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The decrease is Rs. 75.
The percentage decrease is 75/500 × 100 = 15%.
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The greatest common divisor of 24 and 36 is 12.
Dividing both terms by 12 gives 2:3.
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For inverse variation, xy is constant.
Since 12 × 4 = 48, x = 48/6 = 8.
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Using SI = PRT/100, 900 = P × 6 × 3/100.
Solving gives P = Rs. 5,000.
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The sequence increases by 3 each time.
Adding 3 to 11 gives 14.
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Let the number be x, so 0.40x = 72.
Dividing by 0.40 gives x = 180.
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Three ratio parts correspond to 24, so one part is 8.
Girls represent five parts, giving 5 × 8 = 40.
