I bought 5 Rasgullas, 7 Ladoos and 4 Samosas. Preeti bought 6 Rasgullas, 8 Samosas and 14 Ladoos for an amount which was half more than what I had paid.
What percent of the total amount paid by me was paid for the Rasgullas?
Assume R is Cost of one Rasgulla, L is cost of one Ladoo& S is cost of one Samosa
Let total cost of 5 Rasgullas, 7 Ladoos and 4 Samosas be X
5R+7L+4S=X -> Equation (i)
Preeti has bought 6 Rasgullas, 8 Samosas and 14 Ladoos at 1.5X cost (half more than mine)
So, 6R+14L+8S=1.5X -> Equation (ii)
Multiplying Equation (i) by 2 and subtracting 2nd equation from it:
10R+14L+8S=2X
06R+14L+8S=1.5X
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4R = 0.5X
=> R = 0.5X/4
Total amount paid by me for Rasgulla = 5R= (0.5X/4) * 5 = 2.5X/4
Percent of the total amount paid by me for the Rasgulla = {(2.5X/4)/X}* 100 = 62.5%