Practice NET Mathematics questions with answers and explanations.
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A number is divisible by 9 when the sum of its digits is divisible by 9.
For 5,832, the digit sum is 18.
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The selling price is 80% of the marked price.
Thus, marked price = 960 ÷ 0.80 = Rs. 1,200.
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Sales tax is 12% of Rs. 5,000, or Rs. 600.
The total payable amount is Rs. 5,600.
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Commission is 6% of total sales.
Thus, 0.06 × 250,000 = Rs. 15,000.
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The taxed price is 115% of the original price.
So the original is 2,300 ÷ 1.15 = Rs. 2,000.
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Each year, 90% of the previous value remains.
Thus, 50,000 × 0.9² = Rs. 40,500.
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Compound growth gives 20,000 × 1.05².
The result is 22,050.
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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's capital-time is 2 × 6 + 4 × 6 = 36 units.
B's is 3 × 12 = 36 units, so profits are equal.
