Question 59

A book has been co-authored by X and Y. The prices of the book in India and abroad are ₹800 and ₹1000 respectively. The royalties earned on sale in India and abroad are 10% and 16% respectively. The royalty amount is distributed among X and Y in the ratio 5 : 3. The given Bar Graph presents the number of copies of the book sold in India (A) and abroad (B) during 2012-16.

What is the difference between the royalties earned by X and Y (in ₹) during the years 2014 and 2015 taken together?

Solution

Royalties in India in 2014 = $$800\times350\times\frac{10}{100}=28000$$

Royalties of X in India in 2014 = $$28000\times\frac{5}{8}=17500$$

Royalties of Y in India in 2014 = $$28000\times\frac{3}{8}=10500$$

Royalties of X in Abroad in 2014 = $$1000\times450\times\frac{16}{100}=72000$$

Royalties of X in Abroad in 2014 = $$72000\times\frac{5}{8}=45000$$

Royalties of Y in Abroad in 2014 = $$72000\times\frac{3}{8}=27000$$

Royalties in India in 2015 = $$800\times500\times\frac{10}{100}=70000$$

Royalties of X in India in 2015 = $$40000\times\frac{5}{8}=25000$$

Royalties of Y in India in 2015 = $$40000\times\frac{3}{8}=15000$$

Royalties in Abroad in 2015 = $$1000\times550\times\frac{16}{100}=88000$$

Royalties of X in Abroad in 2014 = $$88000\times\frac{5}{8}=55000$$

Royalties of Y in Abroad in 2014 = $$88000\times\frac{3}{8}=33000$$

Total royalties earned by X = 17500 + 45000 + 25000 + 55000 = 142500

Total royalties earned by Y = 10500 + 27000 + 15000 + 33000 = 855000

Required difference = 142500 - 85500 = 57000


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