8th Direct and Inverse Variation and Profit, Loss and Discount (Test Questions)

                  

Direct and Inverse Variation and Profit, Loss and Discount

Q-1. 68 boxes of contain commodity require a shelf- length of 13.6 m . How many boxes of the same commodity would occupy a shelf- length of 20.4m?

Q-2.11 men can dig 27/4 m long trench in one day. How many men should be employed for     digging 27m long trench of the same type in one day?

Q-3.120 men had food provisions for 200 days. After 5 days, 30 men die due to an epidemic.  How long will the remaining food last?

Q-4.A car can finish a certain journey in 10 hours at the speed of 48km/hr.By how much should  its speed be increased so that it many take only 8 hours to cover the same distance?

Q-5.In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?

Q-6.A worker is paid Rs.210 for 6 days work. If his total income of the month is Rs. 875, for how many did he work?

Q-7.A train 400m long is running at a speed of 72km/hr.How much time does it take to cross a telegraph post?

Q-8.A train 360m long is running at a speed of 45 km/hr. What time will it take to cross a 140m  long bridge?

Q-9.A train 210m long took 12 seconds to pass a 90 m long tunnel. Find the speed of the train.

Q-10.   A man sold two articles at Rs. 25920 each. These were sold at 8%gain and 4% loss respectively. Find his gain or loss percent in the whole transaction.

Q-11.   Some toffees are bought at the rate of 11 per Rs.10 and sold at the rate of 9 per Rs.10. If the whole lot is sold at one rupee per toffee, find his gain or loss percent on the whole transaction.

Q-12.   After allowing a discount of 12% on the marked price of an article, it is sold for Rs.880, find its marked price.

Q-13. A shopkeeper offers his customer 10% discount and still makes a profit 26%. What is the actual cost to him of an article marked Rs.280?

Q-14. A dealer buys an article for Rs.380. At what price must he mark it so that after allowing a  discount of 5%, he still makes a profit of 25%?

Q-15.    By selling a pair of earrings at a discount of 25% on the M.P., a jeweler makes a profit of  16%. If the profit is Rs.48, what is the C.P.? What is the M.P. and the price at what the  pair was eventually bought?

Q-16.   A publisher gives 32% discount on the printed price of a book to booksellers. What does a  bookseller pays for a book whose printed price is Rs.275?

Q-17.   List price of a pair of shoes is Rs.450. If Amit paid Rs.45 as VAT for it, find the rate of  VAT.

Q-18.   The cost of furniture inclusive of VAT is Rs.7150. If the rate of VAT is 10%, find the original cost of the furniture.

Q-19.   Ajit buys a motorcycle for Rs.17600 including Value Added Tax. If the rate of VAT is 10%, what is the sale price of motorcycle?

Q-20. Shruti bought a set of cosmetic items for Rs.345 including 15% Value Added Tax and a purse for Rs.110 including 10% VAT. What percent is the VAT charged on the whole transaction?

VIII Maths: Profit and loss : sale tax Test Questions

1. Q. A jeweler allows a discount of 16% to his customers & still gains 20%. Find the MP of a ring which cost him RS1190.

Ans: Rs. 1700

2. Q. After allowing a discount of 12% on the marked price if an article, it is sold for Rs. 880. Find its marked price.

Ans: Rs. 1000

3. Q. How much per cent above the cost price should a shopkeeper mark his goods so that after allowing a discount of 20% on the marked price, he gains 12 %?

Ans: 40%

4. Q. A man allows 8% discount on the marked price of the suit & still makes a profit of 15% .if her gain over the sale of a suit is Rs. 156, find the marked price of the suit.

Ans: Rs. 1300

5. Q. A retailer marks his good at 35% above the cost price abd allows a discount of 20% on the market price. what is his gain or loss percent.

Ans: 8%

6. Q. How much percent above the cost price should a shopkeeper mark his goods so that after allowing a discount of 20% on the marked price ,he still has a gain of 10%?

Ans: 37.5%

7. Q. A person investing 3 times as much at money at 5 % as he had invested at 2% per annum simple interest .Further he invested Rs 6000 mre at 3 % than he had invested at 2 % .If the total interest from three  investments after a year is Rs 980 ,What is the total amount he invested?

Ans: Rs. 26000

8. Q.  The population of the village increases 9% every year. If the present population is 11,881. What was the population two years ago?

Ans: 10,000

9. Q. The S.P, with VAT on a cooking range is 19610 .what is the C.P of the cooking range the VAT is 6%

Ans: Rs 18500.

10.Q. Two successive discounts of 40% and 30%  are given on an article . Find the single equivalent discount?

Ans: 58%

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NCERT CBSE Class 8th Maths : Discounts & Sales Tax

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CHAPTER: Discounts & Sales Tax

               Section A

1. Choose the correct answer:

(i) The discount is always on the _______.

(A) Marked Price (B) Cost Price (C) Selling Price (D) Interest

(ii) If M.P. = Rs.140, S.P. = Rs 105, then Discount = _______.

(A) Rs 245 (B) Rs 25 (C) Rs 30 (D) Rs 35

(iii) ______ = Marked Price – Discount.

(A) Cost Price (B) Selling Price (C) List Price (D) Market price

(iv) The tax added to the value of the product is called ______ Tax.

(A) Sales Tax (B) VAT (C) Excise Tax (D) Service Tax

(v) If the S.P. of an article is Rs 240 and the discount given on it is ` 28, then the M.P.

is _______. (A) Rs 212 (B) Rs 228 (C) Rs 268 (D) Rs 258

Section B

1. A bicycle marked at Rs 1,500 is sold for Rs 1,350. What is the percentage of discount?

2. The list price of a frock is Rs 220. A discount of 20% on sales is announced. What is the amount of discount on it and its selling price?

3. An almirah is sold at Rs 5,225 after allowing a discount of 5%. Find its marked price.

4. A shopkeeper allows a discount of 10% to his customers and still gains 20%. Find the marked price of an article which costs Rs 450 to the shopkeeper.

5. A dealer allows a discount of 10% and still gains 10%. What is the cost price of the book which is marked at ` 220?

6. A television set was sold for Rs 14,400 after giving successive discounts of 10% and 20% respectively. What was the marked price?

7. A trader buys an article for Rs 1,200 and marks it 30% above the C.P. He then sells it after allowing a discount of 20%. Find the S.P. and profit percent.

8. Vinodh purchased musical instruments for Rs 12,000. If the rate of sales tax is 8%, find the sales tax and the total amount paid by him.

9. A refrigerator is purchased for Rs 14,355, including sales tax. If the actual cost price of the refrigerator is ` 13,050, find the rate of sales tax

10. Priya bought a suitcase for Rs 2,730. The VAT for this item is 5%. What was the price of the suitcase before VAT was added? Also state how much is the VAT?

11. The price marked on a book is Rs 450. The shopkeeper gives 20% discount on it in a book exhibition. What is the Selling Price?

12 . A television set was sold for Rs 5,760 after giving successive discounts of 10% and 20% respectively. What was the Marked Price?

13. Sekar bought a computer for Rs 38,000 and a printer for Rs 8,000. If the rate of sales tax is 7% for these items, fi nd the price he has to pay to buy these two items.

14. The selling price with VAT, on a cooking range is Rs 19,610. If the VAT is 6%, what is the original price of the cooking range?

6. Richard got a discount of 10% on the suit he bought. The marked price was Rs 5,000 for the suit. If he had to pay sales tax of 10% on the price at which he bought, how much did he pay?


15. The sales tax on a refrigerator at the rate of 9% is Rs 1,170. Find the actual sale price.

8. A trader marks his goods 40% above the cost price. He sells them at a discount of 5%. What is his loss or gain percentage?

16. A T.V. with marked price Rs 11,500 is sold at 10% discount. Due to festival season, the shop keeper allows a further discount of 5%. Find the net selling price of the T.V.

17. A person pays Rs 2,800 for a cooler listed at Rs 3,500. Find the discount percent offered.


18. Deepa purchased 15 shirts at the rate of Rs 1,200 each and sold them at a profit of 5%. If the customer has to pay sales tax at the rate of 4%, how much will one shirt cost to the customer?

19. Which is a better offer? Two successive discounts of 20% and 5% or a single discount of 25%. Give appropriate reasons.

20. What price should Suneeta mark on a sari which costs her Rs 2200 so as to gain 26 % after allowing a discount of 12 %?

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