Question 73

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 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 ratio of royalties earned in the following cases — By X for sale of books in India in 2013 and 2014 and By Y for sale of books abroad in 2015 and 2016 ?

Solution

Royalities earned in India = $$800\times\frac{10}{100}$$=Rs 80

Royalities of x = $$80\times\frac{5}{8}$$=Rs 50

Royalities in 2013= $$50\times3$$=RS 150

Royalities in 2014= $$50\times3.5$$=Rs 175

Royalities earned in Abroad = $$1000\times\frac{16}{100}$$=Rs 160

Royalities of x = $$160\times\frac{3}{8}$$=Rs 60

Royalities in 2015= $$60\times5.5$$=Rs 330

Royalities in 2016= $$60\times6$$=Rs 360

Required ratio = (150+175) : (330+360) = 325 : 690 = 65 : 138

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