Question 1

A shopkeeper mixes two types of rice costing ₹40 per kg and ₹60 per kg in the ratio 3:2. What is the cost price of the mixture per kg?

Accepted Answer

Step 1: Ratio of rice = 3:2 (total parts = 5). Step 2: Cost of first type = ₹40/kg, cost of second type = ₹60/kg. Step 3: Total cost for 5 kg = (3 × 40) + (2 × 60) = 120 + 120 = 240. Step 4: Cost per kg = 240 ÷ 5 = ₹48/kg.

Question 2

X, Y, and Z start a business with investments of ₹12,000, ₹15,000, and ₹18,000 respectively. If the profit at the end of the year is ₹9,000, what is Y's share of the profit?

Accepted Answer

Step 1: Investment ratio X:Y:Z = 12,000:15,000:18,000 = 4:5:6 (dividing by 3,000). Step 2: Total parts = 4 + 5 + 6 = 15. Step 3: Y's share = (5/15) × 9,000 = ₹3,000.

Question 3

Two containers have sugar solutions of 20% and 50% concentration respectively. In what ratio should they be mixed to get a 30% solution?

Accepted Answer

Step 1: Use alligation method. Concentration 1 = 20%, Concentration 2 = 50%, Target = 30%. Step 2: Difference from target: |20 - 30| = 10 (for 20% solution), |50 - 30| = 20 (for 50% solution). Step 3: Ratio = 20:10 = 2:1 (inverse of differences). Step 4: Mix 20% and 50% solutions in ratio 2:1.

Question 4

Three partners M, N, and O invest capitals in the ratio 6:4:5 and for periods in the ratio 2:3:4 respectively. If the total profit is ₹3,450, what is N's share?

Accepted Answer

Step 1: M's effective capital = 6 × 2 = 12. Step 2: N's effective capital = 4 × 3 = 12. Step 3: O's effective capital = 5 × 4 = 20. Step 4: Ratio M:N:O = 12:12:20 = 3:3:5. Step 5: Total parts = 11. Step 6: N's share = (3/11) × 3,450 = ₹900.

Question 5

A container has 60 litres of a mixture of alcohol and water in the ratio 7:5. How much pure alcohol must be added to make the ratio 3:1?

Accepted Answer

Step 1: Original ratio 7:5 means alcohol = 60 × (7/12) = 35 litres, water = 60 × (5/12) = 25 litres. Step 2: Let x litres of pure alcohol be added. New alcohol = 35 + x, water remains 25. Step 3: New ratio is 3:1, so (35 + x)/25 = 3/1. Step 4: 35 + x = 75 → x = 40 litres.

SBI Clerk Ratio & Proportion Questions
with Answers, Trap Analysis & Shortcuts

SBI Clerk Ratio & Proportion — Exam-Pattern Questions

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SBI Clerk Ratio & Proportion Questionswith Answers, Trap Analysis & Shortcuts

SBI Clerk Ratio & Proportion — Exam-Pattern Questions

Study Next — Related Topics

SBI Clerk Ratio & Proportion Questions
with Answers, Trap Analysis & Shortcuts