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Q1. In a book fair 27.5% discount is offered on a book of Rs. 500, then find the discount.

Solution

Q2. A farmer borrows Rs. 7000 from a co-operative society for 2 years at the rate of 12%. How much does he has to pay at the end of two years?

Solution

Q3. The sales tax rate is 8%. If Rahul bought a new car and paid a sales tax of Rs 1,920, what was the cost of the car before the tax?

Solution

Let  us say the car costs Rs y.   That would mean that y multiplied by 8% is Rs 1920.  y(8%) = 1920 8% could also be expressed as 0.08 Thus, y(0.08) = 1920 y =Rs 24000 The car costs Rs 24000 without tax.

Q4. Convert the following ratios into percentage: 1) 3 : 5 2) 1 : 4

Solution

Q5. 15 boys earn Rs. 600 in 4 days, how much will 20 boys earn in 7 days?

Solution

Q6. Find the marked price of an article which is bought for Rs. 13489 after a discount of 18%.

Solution

Q7. The catalogue price of a colour T.V. is Rs. 18,000. The shopkeeper gives a discount of 8% on the marked price. He gives a further off-season discount of 5% on the balance. But sales tax at 10% is charged on the remaining amount. Find  (i) the sales tax amount a customer has to pay. (ii) the final price he has to pay for the colour T.V.

Solution

Q8. Find the selling price when marked price is Rs. 300 and discount is 5%.

Solution

Q9. A shopkeeper announces a discount of 15% on his goods. If the marked price of an article, in his shop, is Rs. 1,850, how much a customer has to pay for it, if the rate of sales tax is 9%?

Solution

 

Q10. Find the C.I. on Rs 54,000 at 12% p.a for 2 years.

Solution

  C.I. on Rs 54,000 at 12% p.a for 2 years is Rs 13,737.60

Q11. Neeta has Rs. 500. Out of this, she bought a jacket for Rs. 400. Find the amount she spent in percentage.

Solution

Q12. Ashok invested a sum of Rs 67850 for 4 years at the rate of 7.8% p.a. Calculate the amount standing to his credit at the end of second year.

Solution

P =Rs 67850 T= 4 years Rate = 7.8% p.a.   Amount at the end of 1 st year = 67850 + 5292.30 = Rs.73142.30   Amount at the end of 2 nd year = 73142.30 + 5705.10 = Rs.78847.40 The amount standing to his credit at the end of second year = Rs.78847.40    

Q13. On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. What is the cost price of one ball?

Solution

Q14. Which one is more profitable? Selling a phone whose cost price is Rs. 9865 at a profit of 20%. OR Selling a tablet at Rs. 12,750 with a profit of Rs. 1275.

Solution

Q15. A, B and C together can do a work in 10 days. A alone can do the work in 20 days and B alone can do it in 30 days. How long will C take to do the work alone?

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Q16. Find: 1)  16% of Rs. 75 2)  19% of 200 cm

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Q17. Sujit saves Rs. 1200 per month after spending 85% of his salary. What is his monthly salary?

Solution

Q18. Mr. Lal buys a transistor, costing Rs. 625, for Rs. 650 including sales tax. Calculate the rate of sales tax charged.  

Solution

Marked price of transistor = Rs. 625 Total price (including sales tax ) = Rs. 650 Sales tax paid = Rs. 650 - Rs. 625 = Rs. 25 Rate of sales tax is 4%.  

Q19. Calculate the compound interest on principal Rs.30000 and rate of interest 5 % for three years.

Solution

P = Rs. 30000, R = 5%, T = 3 Yrs Amount after 1 st year= P + S.I Amount = 30000 + 1500 = Rs.31500   Amount after 2nd year = 31500 + 1575 = Rs. 33075 C.I for 3 years = 1500 + 1575 + 1653.75 = Rs.4728.75

Q20. Two taps take 8 hours and 12 hours respectively to fill a tank. Find the time taken to fill the tank if they are open at the same time.

Solution

Q21. Find the ratio of the first quantity to the second. 70 paise, Re 1

Solution

Q22. A shopkeeper offers 10% discount on the marked price of his articles and still makes profit of 20%. What is the actual cost of the article marked Rs. 500 for him?

Solution

Q23. Mita's weight decreased from 50 kg to 40 kg. Find the percentage decrease.

Solution

Q24. When a plot is sold for Rs. 18,700, the owner loses 15%. At what price the plot should be sold in order to gain 15%?

Solution

Q25. A ruler costs Rs. 9 while a scissor costs Rs. 21. Find the ratio of the cost of the scissor to that of the ruler.

Solution

Q26. Find the compound interest and the amount to be paid for Rs. 15,000 for 3 years at 10% when the interest is compounded  half yearly.

Solution

Q27. A loan of Rs. 20000 is taken from the bank at the compound interest of 8% p.a. Find the difference between the compound interest and the simple interest at the same rate on the loan amount for the period over 3 years.

Solution

P = Rs.20000, R = 8%, T = 3 Years. = Computation of Compound Interest: Amount at the end of 1 st year = 20000 + 1600 = Rs.21600 Amount at the end of 2 nd year = 21600 + 1728 = Rs.23328   C.I for the 3 years = 1600 + 1728 + 1866.24 = Rs 5194.24       Difference between S.I and C.I = 5194.24 - 4800 =  Rs.394.24

Q28. Smita got an increase of 10% in her salary. Later, it was decreased by 10%. Is there any change in the income? If yes, what is the total change in per cent in her income?

Solution

Q29. A purchases an article for Rs. 3,100 and sells it to B for Rs. 4,250. B in turn sells it to C for Rs. 5,000. If VAT is 10%, find the VAT levied on A and B.

Solution

Q30. One tap can fill a cistern in 2 hours and the waste pipe can empty the full cistern in 5 hours. In what time will the empty cistern be full, if the tap and the waste pipe are kept open together?

Solution

Time taken by One tap to fill the cistern = 2 hours Part of the cistern filled by one tap in 1 hour =  Time taken by waste pipe to empty the cistern = 5 hours Part of the cistern emptied by waste pipe 1 hour =  Thus, part of the cistern filled in 1 hour =  Hence, cistern will be filled completely in = 3.3 hours (approx.)

Q31. What percent of numbers from 1 to 50 have squares that end in the digit 1?

Solution

Q32. Find the ratio of the second quantity to the first: 75 cm, 1.5 m

Solution

Q33. A chair is sold for Rs. 1550 at a loss of Rs. 450. Find the loss percent. 

Solution

Q34. Before adding VAT at 21%, an item's cost is Rs 200. Calculate the total cost after VAT is added.

Solution

  Total cost with VAT = cost without VAT + 21% of cost without VAT = Rs {200 + (0.21 x 200)}   = Rs (200 + 42)   = Rs 242   After VAT is added, the total cost is Rs 242.

Q35. The weight of a 10 year old girl was 32 kg. But it was misread as 36 kg. Find the error percentage.

Solution

Actual weight of the girl = 32 kg. Error = 36 kg - 32 kg = 4 kg.   Hence,  Hence, the percentage error is  .

Q36. Find the C.I. on Rs.24,000 at 15% p.a for 2 years.

Solution

A = 60 × 23 × 23 A = Rs.31740 C I = Rs.(31740 - 24000) = Rs.7740 C.I. on Rs.24,000 at 15% p.a for 2 years is Rs.7740.

Q37. If the simple interest on a sum at 4% per annum for two years is Rs 80, then how much is the compound interest on the same sum for the same period? 

Solution

P = Rs.1000 C.I on Rs. 1000 for first year =  Amount = S.I + P = 1000 + 40 = 1040  Therefore, Principal for second year = Rs. 1040 C.I on Rs. 1000 for second  year = Therefore compound interest for two years = 40 + 41.60 = Rs.81.60

Q38. Which one of the following is cheaper to buy? The ceiling fan sold at a loss of 15% whose cost price is Rs. 900. OR A table fan whose selling price is Rs. 785.

Solution

Q39. The marked price of a floor spread is Rs. 650. If the shopkeeper gives a discount of 6%, what is its selling price?

Solution

Q40. Reduce the following ratio in simplest form: 2 kg 250 g : 1 kg 500 g

Solution

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