Practice NAT Quantitative Reasoning questions with answers and explanations.
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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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Using SI = PRT/100, 900 = P × 6 × 3/100.
Solving gives P = Rs. 5,000.
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Rate = SI × 100 ÷ (P × T).
Thus, 800 × 100 ÷ (4,000 × 5) = 4%.
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Compound amount is P(1 + r)².
Thus, 10,000 × 1.1² = Rs. 12,100.
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The amount is 8,000 × 1.05² = Rs. 8,820.
Subtracting the principal gives compound interest of Rs. 820.
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For two years, the difference is P(r/100)².
So 10,000 × 0.1² = Rs. 100.
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Doubling means interest equal to the principal is earned in 8 years.
Tripling requires interest equal to twice the principal, so it takes 16 years.
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One-year compound amount is principal plus 12% interest.
Thus, 20,000 × 1.12 = Rs. 22,400.
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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.
