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Q1. If the sum of two numbers is 50 and their ratio is 2:3, then the first number is:

• 30
• 40
• 20
• 10

Solution

Q2. In a class of 35 students, 20 students passed and 15 failed in a certain exam. The ratio of the number of passed students to the number of failed students is:

• 2:3
• 3:2
• 3:4
• 4:3

Solution

Ratio = 20:15 = 4:3.

Q3. Which of the following pair of ratios are equal?

• 2:3 and 8:16
• 2:3 and 8:12
• 2:3 and 4:12
• 2:3 and 8:20

Solution

2:3 and 8:12, as both are equivalent.

Q4. In ratio 5:7, 5 is called:

• Consequent
• Antecedent
• Numerator
• Denominator

Solution

Antecedent

Q5. The cost of petrol is increased by 12%, find the increase in amount if the cost is Rs.54 per liter.

• Rs.6.50
• Rs.6.48
• Rs.6.58
• Rs.6.00

Solution

Increase in Amount =  Rs.                                        = Rs.6.48

Q6. Rahulgot 65% of marks in his Math exam. If the maximum marks for the examis 80, then find the marks obtained by Rahul in Math.

• 52
• 54
• 56
• 58

Solution

Q7. Pipes A and B can fill the tank in 7 and 8 hours respectively. Pipe C can empty it in 16 hours. If all the three pipes are opened together, then the tank will be filled approximately in

• 5.8 hours
• 3.9 hours
• 4.9 hours
• 4.3 hours

Solution

Net part filled in 1 hour = Thus, the tank will be full in hours i.e. 4.9 hours (approx.)

Q8. If the cost of an item is increased from Rs 50 to Rs 55 then the percentage increase in cost is:

• 5%
• 10%
• 20%
• 15%

Solution

Original Price = Rs. 50 Increased Price = 55 - 50 = 5

Q9. In ratio 11:13, 13 is called:

• Consequent
• Antecedent
• Numerator
• Denominator

Solution

Consequent

Q10. In a class of 30 students if there are 24 boys, then the ratio of girls to the boys is:

• 1:4
• 4:1
• 2:4
• 2:3

Solution

Number of girls = 30 - 24 = 6 Thus, Ratio of girls to the boys = 6:24 = 1:4.

Q11. If 20% of a number is 30 then its 10% is:

• 15
• 20
• 10
• 5

Solution

Q12. Aayushi buys a TV for Rs. 12,000 and spends Rs. 500 on transportation and sells it for Rs. 10,000 after 3 months. Find the loss incurred by her.

• Rs. 2700
• Rs. 2600
• Rs. 2500
• Rs. 2400

Solution

Amount spent on TV = Rs. 12000 + Rs. 500 = Rs. 12500 SP of TV = Rs. 10000 Thus, Loss Amount = Rs. (12500 - 10000) = Rs. 2500

Q13. If the cost of an item is increased from Rs 50 to Rs 53, then the percentage increase in cost is:

• 6%
• 10%
• 20%
• 15%

Solution

Original Price = Rs. 50 Increased in Price = Rs (53 - 50) = 3

Q14. Raj sold his watch at a loss of 12%. If the S.P was Rs. 7040 what was its cost price?

• Rs. 8080
• Rs. 8000
• Rs. 8800
• Rs. 8500

Solution

Let C.P. be Rs. 100 Loss = 12% of C.P.== Rs.12 S.P.= C.P. - lOSS = 100 - 12 = 88 If S.P. is 88, then C.P. = 100 If S.P. is Re 1, then C.P. = If S.P. is 7040, then C.P. = =8000

Q15. A shopkeeper announces a discount of 40%. If the Marked Price of an article is Rs. 700 then the amount of discount is:

• Rs. 220
• Rs. 250
• Rs. 280
• Rs. 200

Solution

MP = Rs.700 Discount% = 40% Discount =  = Rs. 280

Q16. A can do a piece of work in 10 days, B can do it in 15 days. If they both work together they can finish the work in ______.

• 9 days
• 8 days
• 10 days
• 6 days

Solution

A can do a piece of work in 10 days. Work done by A in one day =  B can do the work in 15 days. Work done by B in one day =  One day's work of A and B = Thus, if they both work together, then they will finish the work in 6 days.

Q17. A student has got 32 marks out of 50. Find the percentage of marks he got.

• 64%
• 32%
• 74%
• 84%

Solution

Q18. Rahul borrows a sum of Rs.10,000 for 2 years at a rate of interest 4% per annum. Find the simple interest he pays.

• Rs. 700
• Rs. 800
• Rs. 850
• Rs. 750

Solution

P = Rs.. 10000, R = 4%, T = 2 years

Q19. If the cost price of a watch is Rs. 4300 and its selling price is Rs. 4000 then the amount of discount is:

• Rs.100
• Rs.300
• Rs.200
• Rs.400

Solution

CP = Rs. 4300 SP = Rs. 4000 Thus, Discount = CP - SP = Rs. 4300 - Rs. 4000 = Rs. 300

Q20. Sunil pays Rs. 31.50 as sales tax on a pen worth Rs. 450. What is the rate of sales tax?

• 8%
• 10%
• 7%
• 5%

Solution

Q21. There are 800 students in a school, out of which 560 are girls. The percentage of boys students in the school is ______

• 25%
• 20%
• 35%
• 30%

Solution

Number of boys students = 800 - 560 = 240 Thus, percentage of boys students =

Q22. If CP = Rs 120 and SP = Rs 150 then profit percent is:

• 25%
• 20%
• 30%
• 24

Solution

CP = Rs 120, SP = Rs 150 Thus, Profit = SP - CP = Rs (150 - 120) = Rs 30

Q23. The ratio 2:5 is equal to the percentage:

• 40%
• 30%
• 20%
• 60%

Solution

Q24. The simple interest on a certain sum for 6 years at 14% per annum is Rs. 470.40. The sum is ______ .

• Rs.510
• Rs. 530
• Rs. 550
• Rs. 560

Solution

SI = Rs.470.40, R = 14%, T = 6 Years Now, Principal  =  P =  = Rs. 560 

Q25. Cost of a watch is Rs 6500. What should be its sale price to earn a profit of 10%.

• Rs 7180
• Rs 7150
• Rs 7160
• Rs 7140

Solution

Q26. A car travels a distance of 30 km out of the total distance of 500 km. Find the percentage of distance left.

• 96%
• 94%
• 95%
• 98%

Solution

Total distance = 500 km Distance covered = 30 km Distance left = 470 km

Q27. A girl borrowed Rs.15,000 from her friend for 219 days & returned her Rs.15,315. What is the rate of interest?

• 3.5%
• 3%
• 3.25%
• 3.15%

Solution

Here, Amount A = Rs.15,315 Principal, P = Rs.15,000 So, interest paid, I = A - P = 15315 − 15000= Rs.315 Time, T = 219 days = years Rate of Interest = = 3.5%

Q28. Which of the following ratio is greater than 5:11?

• 6:11
• 3:11
• 2:11
• 1:11

Solution

6:11 is greater than 5:11 as 6>5.

Q29. Ratio of 2 m to 4 km is:

• 1:4000
• 1:20
• 1:200
• 1:2000

Solution

Since 4 km = 4000 m So the ratio is = 2:4000 = 1:2000.

Q30. If 6% of a number is 240 then the number is:

• 6000
• 4800
• 2400
• 4000

Solution

Q31. The price of a computer was Rs 28,000. If the price is decreased by 10% then its new price will be:

• Rs 25,200
• Rs 25,000
• Rs 25,500
• Rs 25,600

Solution

Original Price of Computer = Rs. 28000 Decreased % = 10% Thus, New Price = Original Price - 10% of Original price  

Q32. If CP = Rs. 200 and discount percent is 5%, find the SP.

• Rs. 195
• Rs. 205
• Rs. 190
• Rs. 180

Solution

SP = CP - Discount = CP  SP = Rs. 200 = Rs. 200 ×  = Rs. 190

Q33. Sumit purchases an article for Rs. 441 including sales tax. If the list price of the article is Rs. 420, find the rate of sales tax.

• 10%
• 6%
• 7%
• 5%

Solution

Q34. If an article of Rs. 900 is sold for Rs. 720, find the discount percent.

• 20%
• 10%
• 30%
• 5%

Solution

Amount of discount = Rs.(900 - 720) = Rs.180  

Q35. The price of a book was Rs 50. If the price is increased by 6% then its new price will be:

• Rs 52
• Rs 56
• Rs 53
• Rs 55

Solution

Original Price of book = Rs. 50 Increased % = 6% Thus, New Price = Original Price + 6% of Original price

Q36. A shopkeeper announces a stock clearance sale by giving a discount of 50% + 50%. If marked price of an article is Rs 1200 then its sale price will be:

• Rs 200
• Rs 350
• Rs 300
• Rs 400

Solution

  Consider a number 100.   After 50% discount number becomes 50.   Again after 50% discount it will become 50 - 25 = 25   Finally the decrease in number = 100 - 25 = 75   Hence, the discount 50% + 50% is equal to a single discount of 75%. The SP is 25% of CP. So, SP = 

Q37. George bought a VCR at the list price of Rs 18,500. If the rate of VAT was 8% then the amount he had to pay for purchasing the VCR is

• Rs 19080
• Rs 19980
• Rs 19900
• Rs 19880

Solution

Q38. Discount is always calculated on:

• Selling Price
• Cost Price
• Discounted Price
• Discount Price

Solution

Discount is always calculated on cost price.

Q39. An article was sold for Rs 458 with a discount of Rs 35. Find its marked price.

• Rs 425
• Rs 423
• Rs 490
• Rs 493

Solution

Marked price = Selling price + Discount = Rs 458 + Rs 35 = Rs 493

Q40. If marked price of an article is Rs. 3000 and a discount of Rs. 150 is offered, then the selling price is:

• Rs.3150
• Rs.2850
• Rs.3000
• Rs.3300