Percentage Word Problem

Given:

• 60% students passed the half-yearly exam.
• Of them, 70% passed the annual exam.
• From the remaining 40% (who failed half-yearly), 80% passed the annual exam.

Assume total students = 100

✅ From 60 students who passed half-yearly:
→ 70% of 60 = 42 passed annual exam.

✅ From 40 students who failed half-yearly:
→ 80% of 40 = 32 passed annual exam.

✅ Total students who passed annual exam = 42 + 32 = 74
Final Answer: 74%

 Ritu's Profit Percentage on Bananas

Step 1: Ritu purchased 20 dozen bananas.
Cost per dozen = ₹375

Total cost price (CP) = 20 × 375 = ₹7500

Total number of bananas = 20 × 12 = 240

Selling price (SP) per banana = ₹33

Total SP = 240 × 33 = ₹7920

Step 2: Calculate Profit

Profit = SP − CP = 7920 − 7500 = ₹420

Profit % = (Profit / CP) × 100 = (420 / 7500) × 100 = 5.6%

✅ Final Answer: 5.6%

Hemant's Monthly Salary Calculation

Step 1: Let Hemant's monthly salary be x.

He deposits 10% in PF ⇒ PF = 0.10x

Remaining salary after PF = 0.90x

Step 2: Savings

He saves 30% of the remaining ⇒ Savings = 0.30 × 0.90x = 0.27x

Remaining after savings = 0.90x - 0.27x = 0.63x

Step 3: Expenses on Medicine and Groceries

The ratio is given: Medicine : Groceries = 3 : 4

Total ratio parts = 3 + 4 = 7

Medicine = (3/7) × 0.63x = 0.27x

Step 4: Given that medicine expense = Rs. 2700

0.27x = 2700

⇒ x = 2700 ÷ 0.27 = ₹10,000

✅ Final Answer: ₹10,000