Ragini's weight is 30% of Meena's weight and 45% of Tara's weight. What…
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Ragini's weight is 30% of Meena's weight and 45% of Tara's weight. What percentage of Tara's weight is Meena's weight ?
- A.
175%
- B.
100%
- C.
150%
- D.
50%
Attempted by 64 students.
Show answer & explanation
Correct answer: C
Answer: 150%
Let Ragini, Meena and Tara have weights R, M and T respectively.
Given R = 30% of M, so R = 0.3·M. Also R = 45% of T, so R = 0.45·T.
Equate the two expressions for R and solve for M/T:
0.3·M = 0.45·T
M/T = 0.45/0.3 = 3/2 = 1.5
Convert to percentage: 1.5 × 100% = 150%. Therefore, Meena's weight is 150% of Tara's weight.