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Which of the following statements A-D are correct? A. 5% of (25% of 1600) is 50. B. 0.15% of 33⅓% of…

Statement A is incorrect because 25% of 1600 is 400, and 5% of 400 is 20 (not 50). Statement B is correct since \(33\frac{1}{3}\%\) of 10,000 is \(\frac{10000}{3}\), and…

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Which of the following statements A-D are correct?

A. 5% of (25% of 1600) is 50.
B. 0.15% of 33⅓% of 10,000 is 5.
C. If interest earned on ₹15,000 in 3 years at simple interest is ₹5400, then the rate of interest is 12%.
D. If x/3 = y/4 = z/5, then x: y: z = 2: 3: 7.

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Correct answer B

Statement A is incorrect because 25% of 1600 is 400, and 5% of 400 is 20 (not 50). Statement B is correct since 3313%33\frac{1}{3}\% of 10,000 is 100003\frac{10000}{3}, and 0.15%0.15\% of 100003\frac{10000}{3} equals 0.15100×100003=5\frac{0.15}{100} \times \frac{10000}{3} = 5. Statement C is correct because R=5400×10015000×3=12%R = \frac{5400 \times 100}{15000 \times 3} = 12\%. Statement D is incorrect because x3=y4=z5\frac{x}{3} = \frac{y}{4} = \frac{z}{5} implies x:y:z=3:4:5x : y : z = 3 : 4 : 5. Therefore, only B and C are correct.

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