Mathematics: Can someone pls help with this exam question?

Can someone pls help with this exam question?

kjhgfcvb5761

21.01.2022

= 2 : 5

Step-by-step explanation:

here,

the prices of two radios are in the ratio. x : y

let the price increased be x

and price reduced be. y

now,

for price increased

(x + y)

and

For price reduced

(x - y)

then,

$5x + 2y = 20 \: \: \: \: \: \: \: ...(1) \\ 5x - y = 5 \: \: \: \: \: \: \: \: \: \: \: ...(2) \\$

now subtract (1) from (2) we get,

$5x + 2y = 20 \\ 5x - y \: \: = 5 \\ \frac{ - \: \: + \: \: \: \: \: \: \: \: - }{3y = 15} \\ \\ y = \frac{15}{3} \\ \\ y = 5$

now put y = 5 in (2) we get,

$5x - 5= 5 \\ 5x = 5 + 5 \\ 5x = 10 \\ x = \frac{10}{5} \\ \\ x = 2$

now the ratio x : y in the lowest terms

= 2 : 5

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