If \(\frac{6}{7}\) of \(\frac{4}{7}\) of a number is 192, then \(\frac{3}{4}\)…
2026
If \(\frac{6}{7}\) of \(\frac{4}{7}\) of a number is 192, then \(\frac{3}{4}\) of the number is:
Answer: A. 294 — CONCEPTWhen a product of fractional parts of a number is known, represent the number by x and divide the known result by the product of those fractions. To…
- A.
294
- B.
292
- C.
394
- D.
392
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Correct answer: A
CONCEPT
When a product of fractional parts of a number is known, represent the number by x and divide the known result by the product of those fractions. To find another fractional part of the same number, multiply x by the required fraction.
APPLICATION
Let the number be x.
The given condition is (6/7) × (4/7) × x = 192.
Combining the fractions gives (24/49)x = 192.
Therefore, x = 192 × 49/24 = 392.
The required value is (3/4)x = (3/4) × 392 = 294.
CROSS-CHECK
Using x = 392, 4/7 of 392 is 224 and 6/7 of 224 is 192, which reproduces the given condition. Hence the required value is 294.