R targets to score 85% marks in exams. He scores 450 marks and misses the target by 35%. How much increment in percentage should be there in his scored marks to meet the target?

Question

Accepted Answer

Step 1: Let the total marks be T.

Step 2: R targets to score 85% of total marks, so target marks = 0.85T.

Step 3: He scores 450 marks but misses the target by 35%. This means he scored 35% less than the target marks.

So, scored marks = target marks - 35% of target marks = 65% of target marks.

Mathematically, 450 = 65% of (0.85T) = 0.65 × 0.85T = 0.5525T

Step 4: Find total marks T:
T = 450 / 0.5525 ≈ 814.48

Step 5: Target marks = 85% of T = 0.85 × 814.48 ≈ 692.31

Step 6: Increment needed = target marks - scored marks = 692.31 - 450 = 242.31

Step 7: Percentage increment on scored marks = (Increment / scored marks) × 100 = (242.31 / 450) × 100 ≈ 53.85%

Therefore, approximately 53% increment is needed to meet the target.

Answer

Answer

Answer