Exercise 13.2
1. Find the S.P.
(i) P = Rs.13000 and Discount = 10%
(ii) M.P = Rs.500 and Discount = 15%
Solution:
(i) p = Rs. 13000 and Discount = 10%
We know that S.P = M.P – Discount
S.P = Rs (1300-130) = Rs. 1170
(ii) M.P = Rs. 500 and Discount = 15%
We know that S.P= M.P – Discount
S.P = Rs. (500-75) = Rs. 425
2. Find the M.P., if
(i) S.P. = Rs. 1222 and Discount = 6%
(ii) S.P. = Rs. 495 and Discount = 1%
Solution:
3. Find the discount in percent.
(i) P = Rs.900 and S.P = Rs.873
(ii) P = Rs.500 and S.P = Rs.425
Solution:
(i) P = Rs.900 and S.P = Rs.873
We know that,
S.P = M.P – discount
= 873 = 900 – discount
= Discount = (900-873)=Rs. 27
= 100
= 3%
(ii) P = Rs 500 and s.p = Rs. 425
We know that,
S.P = M.P- Discount
= 425 = 500 – Discount
= discount = (500-425) = Rs. 75
4. A shop selling sewing machines offers 3% discount on all cash purchases. What cash amount does a customer pay for a sewing machine the price of which is marked as Rs.650?
Solution:
Discount = 3%
Market price = Rs. 650
= Rs. 19.50
So, M.P = M.P – Discount
= 650 – 19.50
= Rs. 630.50
5. The marked price of a ceiling fan is Rs. 720. During off season, it is sold for Rs. 684. Determine the discount percent.
Solution:
Given,
Marked price = 720
Selling price = 684
Discount = M.P. – S.P.
= 720 – 684 = 36
Discount= 5%
6. On the eve of Gandhi Jayanti, a saree is sold for Rs.720 after allowing 20% discount. What is the market price?
Solution:
Given, S.P OF THE SAREE =Rs. 720
Discount on the saree = 20%
Since, S.P = M.P – discount
= 720 = x – 0.20(720)
= x = Rs. 900
Thus the M.P of the saree is Rs. 900
7. After allowing a discount of 712%on the market price , an article is sold for Rs.555. find the marked price.
Solution:
Given, Selling Price of the article = Rs. 555
Discount = 7.5%
Let the Marked price of the article be Rs. x
= Rs. 0.075x
Selling Price = Market price – Discount
= 555 = x- 0.075x
= x = Rs. 600
Thus, the Market price of the article is Rs.600
8. A shopkeeper allows his customers 10% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs.250?
Solution:
Let the C.P of the article be RS. X
M.P. of the article = – Rs. 250
Discount = 10%
Discount = 10% of 250
=Rs. 180
The C.P of the article is Rs. 180
9. A shopkeeper allows 20% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked as Rs.500?
Solution:
Given,
M.P of the an article = Rs.500
Discount = 20%
Therefore, discount = 20% of 500
= Rs. 320
The actual cost price of the article is Rs. 320.
10. A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is Rs. 170?
Solution:
Given,
C.P of the article = 170 Rs.
Profit = 20%
M.P. = 240/-
11. A shopkeeper marks his goods at such a price that after allowing a discount of 25% on the marked price, he still makes a profit of 50%. Find the ratio of the C.P to the M.P
Solution:
Let the C.P be Rs. x
Let the M.P be Rs. y
Gain % = 50%
C.P : M.P = 1.2
12. A cycle dealer offers a discount of10% and still makes a profit of 26%. What is the actual cost to him of a cycle whose marked price is Rs.840?
Solution:
Given,
M.P of the cycle = Rs. 840
Discount = 10%
So, S.P = M.P – Discount
= 840 –
= Rs. 756
S.P = Rs. 756
Gain = 26%
= Rs. 600
Hence, the C.P of the cycle is Rs. 600
13. A shopkeeper allows 23% on commission on his advertised price and still makes a profit of 10%. If he gains Rs.56 on one item, find his advertised price.
Solution:
Let us consider the Cost price of the item be = Rs .y
Profit% = 10%
Profit = 10% 0f y
= Rs. 1.1y
And also, profit = Selling Price – Cost Price
= Rs. (1.1 y-y) = Rs. 0.1y
We get,
= 0.1y=56
= y= Rs. 560
The Advertised price = Rs. 800
The Advertised of the item is Rs. 800
14. A shopkeeper marked his goods at 40% above the cost price but allows a discount of 5% for cash payment to his customers. What actual profit does he make, if he receive Rs. 1064 after pating the discount?
Solution:
Given,
Shopkeeper marks his goods at 40% above the cost price.
Let cost price e ‘X’
X = 800
Cost price is 800
Selling is 1064
Profit price is 1064
Profit will be = 1064-800=264/-
15. By selling a pair of earrings at a discount of 25% on the marked price, a jeweler makes a profit of 16%.if the profit is Rs.48, what is the cost price? What is the marked price and the price at which the pair was eventually bought?
Solution:
Let the cost price of the pair of the earrings Rs. X
Profit = 16%
= Rs. 464
Thus, C.P of the pair of earrings = Rs. x = Rs. 300
S.P of the pair of earrings = Rs. x = Rs. 300
S.P of the pair of earrings = Rs. 348
M.P of the pair earrings = Rs. 464
16. A publisher gives 32% discount on the printed price of a book to booksellers. What does a bookseller pay for a book whose printed price is Rs.275?
Solution:
Discount allowed by the publisher = 32% on the printed price
Printed price = Rs. 275
So. 32% of Rs. 275
= Rs. 88
The bookseller pays = Rs. 275 – Rs 88
= Rs. 187
The bookseller pays Rs. 187 for a book
17. After allowing a discount of 20% on the marked price of a lamp, a trader loses 10%.By what percentage is the marked price above the cost price?
Solution:
Let the cost price of the lamp be RS. 100
Loss= 10% of cost price
Selling Price = Cost Price – loss
= Rs.100 – Rs. 10
= RS. 90
The trader allows a discount of 20% which would be when the M.P is Rs. 100, the Selling Price will be Rs. 80
So, Rs. 80 is the Selling Price, the Marked price = Rs. 100
If Res.1 is the Selling Price, So Marked price = Rs.
Rs. 90 is the Selling Price Then, Market price = R.s.
= Rs. 11250
Hence, the trader marks his goods at 12.5% above the cost price.
18. The list price of a table fan is Rs. 480 and it is available to a retailer at 25% discount. For how much should a retailer sell it to gain 15%?
Solution:
Given,
List price of table fan = Rs 480
M.P. = 480
Retailer buys it at discount 25%
S.P. = 414
Retailer should it for Rs 414 to get 15% gain
19. Rohit buys an item at 25% discount on the marked price. He sells it for Rs.660, making a profit of 10%. What is the marked price of the item?
Solution:
Given, S.P of the item = Rs. 660
Discount On the item = 25 %
Profit on the item = 25%
Profit on the item = 10%
Discount = 25% of S.P
= Rs. 880
Thus, the market price of item is Rs. 880
20. A cycle merchant allows 20% discount on the marked price of the cycles and still makes a profit of 20%. If he gains Rs.360 over the sale of one cycle, find the marked price of the cycle?
Solution:
21. Jyoti and Meena run a ready-made garment shop. They mark the garments at such a price that even after allowing a discount of 12.5%, they make a profit of 10%. Find the marked price of a suit which costs them Rs.1470.
Solution:
22. What price should Aslam mark on a pair of shoes which costs him Rs.1200 so as to gain 12% after allowing a discount of 16%?
Solution:
Given, C.P of the pair of shoes = Rs. 1470
Gain = 12%
Discount = 16%
= Rs. 1600
Aslam should sell the pair of shoes for Rs. 1600
23. Jasmine allows 4% discount on the marked price of her goods and still earns a profit of 20%. What is the cost price of a shirt for her marked as Rs.850?
Solution:
Given, M.P of the shirt = Rs. 850
Discount = 4%
= Rs. 680
Thus, the cost of the shirt is Rs. 680
24. A shopkeeper offers 10% off-season discount to the customers and still makes a profit of 26%. What is the cost price for the shopkeeper on a pair of shoes marked at Rs.1120?
Solution:
Given,
M.P of the Pair of shoes = Rs. 1120
Discount = 10%
= Rs. 800
The cost price of the pair of shoes will be Rs. 800
25. A lady shopkeeper allows her customers 10% discount on the marked price of the goods and still gets a profit of 25%. What is the cost price of a fan for her marked at Rs. 1250
Solution:
Given,
M.P of the fan = Rs. 1250
Discount = 10%
So,
The cost price of fan fan= Rs. 900
