Nalini, Tanvi and Rashi share a cake. Nalini ate 1/12th of it, Tanvi ate 1/3th of it and Rashi ate the rest of the cake. What was the cake's share of Rashi?

Nalini, Tanvi and Rashi share a cake. Nalini ate 1/12th of it, Tanvi ate 1/3th of it and Rashi ate the rest of the cake. What was the cake's share of Rashi? Correct Answer <span class="math-tex">\(\frac{7}{12}\)</span>th

Given:

Nalini, Tanvi, and Rashi share a cake.

Nalini ate 1/12th of it, Tanvi ate 1/3th of it and Rashi ate the rest of the cake.

Calculation:

Let the entire cake be P.

So,

Nalini ate = P × 1/12 = P/12.

Tanvi ate = P × 1/3 = P/3

So, the share of the cake of Rashi = (P - P/12 - P/3) = 7P/12 = (7/12) × P

∴ The cake's share of Rashi was 7/12.