A publisher sells 5 copies of a book at printed price of 4 to a book se her. The book seller sells them at printed price. Find gain %.
Answers
Answer:
25%
Step-by-step explanation:
order to increase sales or clear stocks sometimes the shopkeeper offers certain percent of rebate on the articles, this rebate is known as the discount. In Exercise 13.2 of Chapter 13, we shall study problems based on discount. To access detailed solutions to problems, students can refer to RD Sharma Solutions which is designed by our expert faculty team at BYJU’S. In order to help students understand the concepts clearly and solve the problems with competence, and also to gain knowledge over the subject, students can use the best shortcut methods explained by our tutors. The pdfs can be easily downloaded from
= 88
SP = MP – Discount
= 275 – 88
= Rs 187
∴ The book seller pays Rs 187
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:
Given,
Let the cost price of the lamp be = Rs x
Then, SP = (100 – loss%)/100 × CP
= (100 – 10)/100 × x
= 90x/100
Now,
SP = Rs 90x/100 and Discount = 20%
By using the formula,
MP = (100×SP) / (100 – Discount%)
= (100×90x/100) / (100 – 20)
= 90x/80
= 9x/8
Required difference = MP – CP
= Rs (9x/8 – x)
= (9x-8x)/8
= Rs x/8
Discount% = (x/8)/x × 100
= 100/8
= 12.5%
∴ The trader must mark his goods 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 (MP) is = Rs 480
Retailer buys it at discount of = 25%
Cost price for the retailer is (75/100) × 480
So, CP = (75/100) × 480
= Rs 360
Now, the retailer sells the fan to get 15%
Gain% = (gain)/CP × 100
15% = (SP-CP)/CP × 100
SP = 115/100 CP
= 115/100 × 360
= 414
∴ The retailer should sell the fan at Rs 414 to get a gain of 15%
19. Rohit buys items 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:
19th question solution
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:
Given,
Profit% = 20%
Gain over 1 cycle = Rs 360
Gain% = (gain/CP) × 100
20 = 360/CP × 100
20/100 = 360/CP
CP = Rs 1800
By using the formula,
SP = (100 + gain%)/100 × CP
= (100 + 20)/100 × 1800
= 120/100 × 1800
= Rs 2160
Given, Discount = 20%
MP = (100 × SP) / (100 – Discount %)
= (100 × 2160) / (100 – 20)
= 216000/80
= Rs 2700
∴ The marked price of the cycle is Rs 2700
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:
Given,
CP of suit = Rs 1470
Gain = 10%
By using the formula,
SP = (100 + gain%)/100 × CP
= (100 + 10)/100 × 1470
= 110/100 × 1470
= Rs 1617
Given, Discount = 12.5%
So, MP = (100 × SP) / (100 – Discount %)
= (100 × 1617) / (100 – 12.5)
= 161700/87.5
= Rs 1848
∴ The marked price of the suit is Rs 1848
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,
CP of pair of shoes = Rs 1200
Gain = 12%
By using the formula,
SP = (100 + gain %)/100 × CP
= (100 + 12)/100 × 1200
= 112/100 × 1200
= Rs 1344
Given, Discount = 16%
MP = (100 × SP) / (100 – Discount %)
= (100 × 1344) / (100 – 16)
= 134400/84
= Rs 1600
∴ Aslam should mark pair of the shoes at 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 at Rs. 850?
Solution:
Given,
Gain = 20%
MP of the shirt = Rs 850
Discount = 4%
Discount allowed on the marked price of goods = 4/100 × 850
= Rs 34
So, SP of the shirt = (850 – 34) = Rs 816
By using the formula,
CP = 100/(100 + gain%) × SP
= 100/(100 + 20) × 816
= 100/120 × 816
= Rs 680
∴ Cost price of a 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,
MP of pair of shoes = Rs 1120
Profit = 26%
Discount = 10%
Discount allowed = 10/100 × 1120
= Rs 112
So, SP of the shoes = (1120 – 112) = Rs 1008
By using the formula,
CP = 100/(100 + gain%) × SP
= 100/(100 + 26) × 1008
= 100/126 × 1008
= Rs 800
∴ Cost price of a pair shoes is 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,
MP of the fan = Rs 1250
Profit = 25%
Discount = 10%
Discount allowed = 10/100 × 1250
= Rs 125
So, SP of the shoes = (1250 – 125) = Rs 1125
By using the formula,
CP = 100/(100 + gain%) × SP
= 100/(100 + 25) × 1125
= 100/125 × 1125
= Rs 900
∴ Cost price of the fan is Rs 900