Solution to puzzle 79 - shopping

 This was the  puzzle

Let us say I spent b rupees on bag, s1 rupees on saree and s2 rupees on shoes.

Total amount = 1400 = b+s1+s2   -----(1)

s1 = 900+b -- as saree cost 900 more than bag

s1 +b  = s2+1200 --- (2)      as saree and bag cost 1200 more than shoes. 

b = s1-900.

Substituting b in the first equation, we get  

1400 = 900+b+b+s2

500 = 2b+s2 --------(3)

Substituting s1 = b+900 in equation 2, we get

b+900+b =s2+1200

300  = 2b-s2 ---------(4)

Adding 3 and 4 we get

800 = 4b

b = 800/4 = 200

s1 = b+900 = 1100

s2 = 1400 - s1 - b = 100

 

Saree cost rupees 1100, shoes cost rupees 100 and bag cost rupees 200.