Question

if 40%of P's income is equal to 75% of Q's income. than Q's income is what percent of P's income?​

Answer 1

it has given that, 40% of P's income is equal to 75% of Q's income.

Q's income is what percent of P's income.

solution : 40% of P's income = 75% of Q's income

⇒40/100 × P = 75/100 × Q

⇒2/5 × P = 3/4 × Q

⇒8P = 15Q

⇒P/Q = 15/8

here P = 15k, Q = 8k ,where k is proportionality constant.

let Q's income = x % of P's income

⇒8k = x/100 × 15k

⇒800/15 = x

⇒x = 53.33 %

Therefore Q's income is 53.33 % of P's income.

Answer 2

Answer:

it has given that, 40% of P's income is equal to 75% of Q's income.

Q's income is what percent of P's income.

solution : 40% of P's income = 75% of Q's income

⇒40/100 × P = 75/100 × Q

⇒2/5 × P = 3/4 × Q

⇒8P = 15Q

⇒P/Q = 15/8

here P = 15k, Q = 8k ,where k is proportionality constant.

let Q's income = x % of P's income

⇒8k = x/100 × 15k

⇒800/15 = x

⇒x = 53.33 %

Therefore Q's income is 53.33 % of P's income.

Step-by-step explanation: