S.chand Class 8 Maths Solution Chapter 8 Percentage And Its Applications Exercise 8 D

 Exercise 8 D

Question 1

1. Find the discount and the amount actually paid if

(a) A shirt having a price tag of $₹ 600$ is sold at $15 \%$ discount.

(b) A vacuum cleaner with a marked price of $₹ 6000$ is sold at a discount of $5 \%$ on immediate cash payment.

2. Find the S.P. when M.P. $=₹ 1500$ and discount $=12 \%$.

3. Find the rate of discount when

(i) M.P. $=₹ 300$ and S.P. $=₹ 240$

(ii) M.P. $=₹ 2800$ and S.P. $=₹ 2100$

4. Find the M.P. when

(i) S.P. $=₹ 1900$ and discount $=5 \%$

(ii) S.P. $=₹ 4200$ and discount $=16 \%$

5. A shopkeeper marks his goods $30 \%$ above the cost price and gives a discount of $15 \%$ on the marked price. What gain $\%$ does he make ?

6. A watch dealer pays $10 \%$ custom duty on a watch which costs ₹ 500 abroad. For how should much he mark it, if he desires to make a profit of $20 \%$ after giving a discount of $25 \%$ to the buyer ?

7. A shopkeeper allows a cash discount of $12.5 \%$ on a machine. A customer pays an amount of $₹ 437.50$ for a machine. At what price is the machine listed ?

8. A shopkeeper offers $10 \%$ off-season discount to the customers and still makes a profit of $26 \%$. What is the cost price of a pair of shoes marked at $₹ 1120$ ?

9. Naseem runs a readymade garments shop. He marks the garments at such a price that even after allowing a discount of $12.5 \%$, he makes a profit of $10 \%$. Find the marked price of a suit which costs him $₹ 1470$.

10. A shopkeeper buys an article for $₹ 400$ and marks it for sale at a price that may give him $80 \%$ profit on his cost. He, however gives $15 \%$ discount on the marked price to his customer.

Calculate :

(i) the marked price of the article,

(ii) the discount in rupees given to the customer,

(iii) the actual percentage profit made by the shopkeeper.

11. When a discount of $15 \%$ is allowed on the marked price of an article, it is sold for $₹ 2975$.

(i) Calculate its marked price. Given that the marked price is $40 \%$ above the cost price of the article, calculate :

(ii) its cost price

(iii) the profit in $₹$ made by the sale of the article.

12. A shopkeeper allows a discount of $20 \%$ on the marked price of an article, and sells it for $₹ 896$.

(a) Calculate the marked price of the article.

(b) By selling the article at the discounted price if he still gains $12 \%$ on his cost price, what was the cost price ?

(c) What would have been his profit percentage, if he had sold the article at the marked price?

13. A sells a car priced at $₹ 36,000$. He gives a discount of $8 \%$ on the first $₹ 20,000$ and $5 \%$ on remaining $₹ 16,000 . B$ also sells a car of the same make priced at $₹ 36,000$. He gives a discount of $7 \%$ on the total price. Calculate the actual price charged by $A$ and $B$ for the cars.

14. A dealer of scientific instruments allows $20 \%$ discount on the marked price of the instruments and still makes a profit of $25 \%$. If his gain over the sale of a instrument is $₹ 150$, find the marked price of the instruments.

15. A washing machine is marked at $₹ 7500$. The dealer allows successive discounts of $8 \%, 5 \%$ and $2 \%$ on it. What is the net selling price?

16. After allowing two successive discounts of $15 \%$ and $5 \%$, a fan is sold for $₹ 2907$. What is the marked price of the fan?

Multiple Choice Questions (MCQs)

17. A shopkeeper carns $15 \%$ profit on a shirt even after allowing $31 \%$ discount on the marked price. If the marked price is $₹ 1250$, then the cost price of the shirt is

(a) 2870

(b) $₹ 800$

(c) 2750

(d) ₹ 690

18. Two successive discount of $10 \%$ and $5 \%$ are cqual to a single discount of

(a) $15 \%$

(b) $7 \frac{1}{2} \%$

(c) $12 \%$

(d) $14 \frac{1}{2} \%$

High Order Thinking Skills (HOTS)

19. Applied to a bill to $₹ 15000$, what is the difference in rupees between a discount of $50 \%$ and two successive discounts of $30 \%$ and $20 \%$ ?