Question

the cost of a mixture of three varieties of rice is rupees 56.5 if the cost of three varieties are rupees 50 per kg and rupees 55 per kg and rupees 60 per kg in what ratio shall the varieties of rice be mixed​

Answer 1

Answer:

hope you find your answers

Answer 2

Solution :-

Let varities of rice are a kg , b kg and c kg .

so,

→ Total cost = Rs. 56.5(a + b + c)

A/q,

→ 50a + 55b + 60c = 56.5a + 56.5b + 56.5c

→ 6.5a + 1.5b - 3.5c = 0

→ 65a + 15b - 35c = 0

→ 13a + 3b - 7c = 0

→ 13a + 3b = 7c

here, multiple values of a , b and c are possible which satisfy above condition .

Let c = 5, b = 3 .

then,

→ 13a + 3 * 3 = 7 * 5

→ 13a = 35 - 9

→ 13a = 26

→ a = 2 .

therefore, one possible ratio in which the varieties are mixed is 2 : 3 : 5 .

Method 2) :-

Using alligation method we get ,

→ Qa/Qc = (60 - 56.5)/(56.5 - 50)= 3.5/6.5 = 7/13

→ Qb/Qc = (60 - 56.5)/(56.5 - 55) = 3.5/1.5 = 7/3

then,

Qa : Qb : Qc = 7 : 7 : (13 + 3) = 7 : 7 : 16 .

therefore, another possible ratio in which varities are mixed is 7 : 7 : 16 .

Verification :-

→ 50*7 + 55*7 + 60*16 = 56.5(7+7+16)

→ 350 + 385 + 960 = 56.5 * 30

→1695 = 1695 (Hence, Verified .)

Learn more :-

what is the sum (in Rs) which when divided among A, B, C, D in the proportion 2:3:5:8 provides Rs 8420 less to D the wha...

https://brainly.in/question/26704366

two vessels x and y of capacities one and two litres respectively and completely filled with mixtureof two chemicals a a...

https://brainly.in/question/26618169