Question

Q is 450 more than p. 60% of p is 60 more than 45% of q. Then find sum of p and q

Answer 1

Answer:

$p+q=3950$

Step-by-step explanation:

Given : q is 450 more than p. 60% of p is 60 more than 45% of q.

To find : Sum of p and q ?

Solution :

According to question,

q is 450 more than p

i.e. $q=450+p$ ....(1)

60% of p is 60 more than 45% of q.

i.e. $60\%p=60+45\%q$

$0.6p=60+0.45q$

$p=\frac{60+0.45q}{0.6}$ ....(2)

Substitute the value of p in (1),

$q=450+\frac{60+0.45q}{0.6}$

$0.6q=450\times 0.6+60+0.45q$

$0.6q=270+60+0.45q$

$0.15q=330$

$q=\frac{330}{0.15}$

$q=2200$

Substitute in equation (1),

$2200=450+p$

$p=2200-450$

$p=1750$

The value of p=1750 and q=2200.

The sum of p and q is p+q=1750+2200=3950.

Therefore, $p+q=3950$