Question

4 kg of rice and 6 kg of wheat cost Rs.132. If the price of rice goes up by 33.33% and that of wheat goes down by 16.66% then the same total quantities cost Rs.140. What is the price of 1 kg of wheat and rice originally?

Answer 1

4 kg of rice and 6 kg of wheat cost Rs.132. If the price of rice goes up by 33.33% and that of wheat goes down by 16.66% then the same total quantities cost Rs.140. What is the price of 1 kg of wheat and rice originally?

by Vaishnavisureshpatel 

let Consider,

Rice =r

Wheat= w

According the sum:----

4r + 6w = 132••••••••(1)

now :---

r = 4r/3

w=5w/6

therefore:---4r/3× 4+ 5w/6× 6= 140

16r + 15 w = 420••••••••••(2)

now we will subtract (2) from (1).

(1) ×4= 16r +24w=520

(2)×1= 16r +15w =420

9w = 108

w = 12

now we will put the value of w in equation(1)

4r +6×12=132

4r=132-72 = 60

therefore r = 60/4 =15,

Ans:-- cost of 1 kg rice is 15/

and cost of 1 kg wheat is 12/