MCQ
Numerical: Percentage Applications MCQ - Practice Questions with Answers
Solve 16 Numerical: Percentage Applications questions for RAS/RPSC preparation.
Practice questions
Q1A store recorded monthly sales of ₹240000. Match the percentage-based items with their correct amounts: 1. 12.5% of sales, 2. 8% of sales, 3. Sales after a 15% rise.
Calculate each item separately using percentage of sales = sales × percentage ÷ 100. For item 1, 12.5% of ₹240000 = 240000 × 12.5 ÷ 100 = ₹30000. For item 2, 8% of ₹240000 = 240000 × 8 ÷ 100 = ₹19200. For item 3, a 15% rise means 115% of ₹240000, so new sales = 240000 × 115 ÷ 100 = ₹276000. Therefore the correct matching is 1: ₹30000, 2: ₹19200, 3: ₹276000.
Q2After a 20% increase, the price of a study table becomes ₹960. What was its original price?
Let the original price be ₹x. After a 20% increase, the new price is 120% of the original price. So, 120% of x = 960. This gives x × 120/100 = 960. Therefore, x = 960 × 100/120 = 960 ÷ 1.2 = 800. This is a reverse percentage question, so the increase must be undone by dividing by 120%. The original price was ₹800.
Q3The population of a town was 80000. It increased by 12.5% in the first year and then decreased by 20% in the second year. Which statement is correct?
After the first year, the population becomes 112.5% of 80000. So population = 80000 × 112.5 ÷ 100 = 90000. In the second year it decreases by 20%, so the remaining population is 80% of 90000. Final population = 90000 × 80 ÷ 100 = 72000. Compared with the original 80000, the decrease is 80000 − 72000 = 8000, which is 10% of 80000. Therefore statement A is correct.
Q4Assertion (A): If the price of an item is first increased by 25% and then decreased by 20%, the final price is equal to the original price. Reason (R): A 20% decrease is calculated on the increased price, not on the original price. Choose the correct option.
Take the original price as ₹100 for easy calculation. After a 25% increase, the price becomes ₹100 × 125/100 = ₹125. Now the 20% decrease is on ₹125, so decrease = ₹125 × 20/100 = ₹25. Final price = ₹125 − ₹25 = ₹100. Thus the assertion is true. The reason is also true because the decrease is calculated on the increased price, and that is exactly why the price returns to the original value.
Q5A person's monthly income increases by 20%, while his monthly expenses increase by 10%. Earlier his income was ₹30,000 and his expenses were ₹24,000. By what percentage does his monthly saving increase?
Old saving = income − expenses = ₹30,000 − ₹24,000 = ₹6,000. New income = 120% of ₹30,000 = ₹36,000. New expenses = 110% of ₹24,000 = ₹26,400. New saving = ₹36,000 − ₹26,400 = ₹9,600. Increase in saving = ₹9,600 − ₹6,000 = ₹3,600. The percentage increase must be calculated on the old saving, not on income or expenses. Therefore, percentage increase = (₹3,600 ÷ ₹6,000) × 100 = 60%. Thus, the monthly saving increases by 60%.
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More questions
6In a test of 500 marks, Rakesh scored 68% and Suman scored 72%. Which of the following statements is incorrect?
7Match each marked price and discount with its selling price: P: ₹500 at 20% discount, Q: ₹800 at 12.5% discount, R: ₹1,200 at 25% discount. Which matching is correct?
8In a class, 60% of the students are boys and the number of girls is 120. Which option correctly matches the total number of students and the number of boys?
9The population of a town was 80,000. In the first year it increased by 25%, and in the second year it decreased by 20%. Which of the following statements is correct?
10A shopkeeper marks a mixer at ₹2,000. He gives a discount of 15% and then charges 12% GST on the discounted price. What is the final amount paid by the customer?
11A mixer has a marked price of ₹8000. The shopkeeper gives a 15% discount and then charges 18% GST on the discounted price. What is the final amount payable?
12On increasing the numerator of a fraction by 15% and decreasing its denominator by 8%, the fraction becomes \frac{15}{16}. What is the original fraction?
13In an exam, the passing mark is 40% of the maximum marks. A candidate scores 156 marks and fails by 24 marks. What are the maximum marks of the exam?
14The population of a village first decreases by 10% and then increases by 20%. If the original population was 10,000, identify the correct final population.
15After a 25% increase, Meena's monthly salary became ₹45000. What was her monthly salary before the increase?