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 $20 \%$ ?
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