Question

Sanjay bought a basket of oranges, a basket of apples,a basket of mangoes and a basket of peaches.He paid a total of Rs 790 for the baskets of fruits bougt by him. While driving back to home, he realized that if he decreased the price of basket of mangoes by 4, increased the price of basket of peaches by Rs7, multiplied the price of basket of oranges by 3 and divided the price of basket of apples by 2. Then all baskets would have the same price.Find the price of basket of peaches??

Answer 1

Let a the price of a basket of oranges be O, that of a basket of apples A, a basket of mangoes M and a basket of peaches P, then
 O + A + M + P = 790   . . . (1)
M - 4 = P + 7 = 3O = A/2 . . . (2)
From (2), we have:
M = P + 11
O = (P + 7)/3
A = 2P + 14

Substituting for M, O and A into (1), gives:
(P + 7)/3 + 2P + 14 + P + 11 + P = 790
P + 7 + 6P + 42 + 3P + 33 + 3P = 2370
13P + 82 = 2370
13P = 2288
P = 176

Therefore, the price of a basket of peaches is Rs176.