Question

If p and q are positive numbers, what percent of p is q ? (1) p = 0.90q (2) p + q = 760

Answer 1

it is given that , p = 0.9q and p + q = 760

putting p = 0.9q in equation p + q = 760

so, 0.9q + q = 760

or, 1.9q = 760 ⇒q = 760/1.9 = 400

then, p = 0.9q = 0.9 × 400 = 360

question asked, “what percentage of p is q. ”

Let x % of p = q

⇒x % of 360 = 400

⇒x × 360/100 = 400

⇒x × 36/10 = 400

⇒x = 4000/36 = 1000/9 = 111 1/9 %

hence, 111 1/9% of p is q.