Quants Questions for CLAT | QB Set 14

A small online store that sells stationery products tracked its sales performance over six months. In January, the store launched a social media campaign, which increased sales by 20%. Encouraged by the response, the owner introduced discount coupons in February, leading to a further 25% increase in sales. However, in March, a rise in shipping costs caused sales to fall by 10%. To recover, the store expanded its product range in April, resulting in a 15% increase in sales. In May, technical issues with the website reduced sales by 20%. Finally, after improving the website and launching a customer loyalty programme in June, sales increased by 30%.

The owner realised that understanding successive percentage changes was important because multiple increases and decreases do not simply cancel each other out. A 20% increase followed by a 20% decrease, for example, does not bring sales back to the original level. By carefully analysing these changes, the owner could evaluate the overall growth of the business and make better decisions for future marketing and operational strategies.

Questions

Q1. If the sales in January were ₹50,000 before the 20% increase, what were the sales after the increase?

A. ₹55,000
B. ₹58,000
C. ₹60,000
D. ₹62,000

Q2. Sales increased by 20% in January and then by 25% in February. What was the overall percentage increase over the original sales?

A. 50%
B. 45%
C. 40%
D. 55%

Q3. A business records a 10% increase followed by a 20% increase. What is the overall percentage increase?

A. 28%
B. 30%
C. 25%
D. 32%

Q4. If sales were ₹90,000 before the 10% decline in March, what were the sales after the decline?

A. ₹79,000
B. ₹81,000
C. ₹82,000
D. ₹85,000

Q5. A business records a 30% increase followed by a 20% increase and then a 25% decrease. What is the overall percentage change?

A. 20% increase
B. 15% increase
C. 18% increase
D. 17% increase

Answers and Detailed Explanations

Q1. Answer: C. ₹60,000

50,000 × 120/100 = ₹60,000

Q2. Answer: A. 50%

20 + 25 + (20×25)/100 = 50%

Q3. Answer: D. 32%

10 + 20 + (10×20)/100 = 32%

Q4. Answer: B. ₹81,000

90,000 × 90/100 = ₹81,000

Q5. Answer: D. 17% increase

100 → 130 → 156 → 117

Net increase = 17%