Question

If increasing 20 by P percentage gives
the same result as decreasing 60 by P
percentage, what is P percentage of 70?
​

Answer 1

Question :-- If increasing 20 by P percentage gives

the same result as decreasing 60 by P percentage, what is P percentage of 70 ?

Solution :--

it is given that ,

→ 20 + P% of 20 = 60 - P% of 60

or, we can say that,

→ P% of 20 + P% of 60 = 60 - 20

→ (P*20/100) + (P*60/100) = 40

→ 20P + 60P = 40*100

→ 80P = 4000

Dividing both sides by 80 now,

→ P = 50 %

So,

→ P % of 70 = 70*50/100 = 35 (Ans).

Hence, P% of 70 is 35.

Answer 2

$\huge{\underline{\underline{\rm{QuesTion:-}}}}$

$\textsf{If increasing 20 by P percentage gives}$

$\textsf{the same result as decreasing 60 by P}$

$\textsf{percentage, what is P percentage of 70?}$

$\huge{\underline{\underline{\rm{AnsWer:-}}}}$

$\huge{\bf{35}}$

$\huge{\underline{\underline{\rm{ExplainaTion:-}}}}$

P% of 20+ P% of 60 = 60-20

P+20/100+ P × 60/100 = 40

20P + 60P = 40× 100

80P = 4000

${\textsf{Dividing both side by 80} }$

P= 50%

So,

P% of 70 = 70× 50/100

= ${\boxed{\bf{35}}}$