Question

If decreasing 400 by P% gives the same as increasing 160 by P%, then P% of 700 is equal to:
1. 500
2. 900
3. 400
4. 300

Answer 1

Correct Answer - Option 4 : 300

Calculation:

400 × [(100 – P)/100] = 160 × [(100 + P)/100]

⇒ 5(100 – P) = 2(100 + P)

⇒ 500 – 5P = 200 + 2P

⇒ 7P = 300

⇒ P = 300/7

⇒ P% of 700

⇒ (P/100) × 700

⇒ (300/7) × (1/100) × 700

⇒ 300

∴ The required value is 300.