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ExamsIBPS POQuantitative Aptitude

When a certain amount was distributed among Radha, Sita, and Ram in the ratio $2:3:4$ respectively, but by mistake it was distributed in the ratio $7:2:5$ respectively, Sita got ₹60 less. Find the amount.

  1. ₹290
  2. ₹300
  3. ₹315
  4. ₹320

Correct answer: ₹315

Solution

Sita’s correct share is $\frac{3}{9}x=\frac{x}{3}$ and her mistaken share is $\frac{2}{14}x=\frac{x}{7}$. Their difference is $\frac{x}{3}-\frac{x}{7}=60$, so $\frac{4x}{21}=60$ and $x=315$.

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