BANK & INSURANCE (PROFIT LOSS AND DISCOUNT) PART 1

Total Questions: 70

61. The cost price of four mobiles is equal to the cost price of 3 laptops. If the cost price of 5 laptops and 7 mobiles is Rs.12300, then what is the cost of 12 mobiles and 7 laptops together?

Correct Answer: (a) Rs.19200
Solution:CP of a mobile = x
CP of a laptop = y
4x = 3y
CP of 5 laptops = 5 × (4x/3) = 20x/3
20x/3 + 7x = 12300
41x = 12300 × 3
x = 900
CP of a laptop = 4 × 900/3 = 1200
Required sum = 12 × 900 + 7 × 1200 = Rs.19200

62. The cost price of pen and pencil in the ratio of 5:3. If the cost price of Pen is Rs.12 more than the cost price of Pencil and the shopkeeper offers the discount of 10% on cost price of the Pencil, then find the selling price of the pencil?

Correct Answer: (a) Rs.16.2
Solution:

5x – 3x = 12
x = 6
CP of Pencil = 6 × 3 = Rs.18
SP of Pencil = 18 × 90/100 = Rs.16.2

63. The sum of the cost price of mobile and laptop is Rs.9900. If the shopkeeper sold the mobile at 10% profit and laptop at 8% loss and he found that the loss incurred by selling laptop is equal to the profit earned by selling mobile, then find the cost price of mobile?

Correct Answer: (b) Rs.4400
Solution:

CP of mobile = x
CP of laptop = 9900 – x
SP of laptop = (9900 – x) × 92/100
SP of mobile = x × 110/100
x × 10/100 = (9900 – x) × 8/100
10x = 79200 – 8x
x = 4400

64. The marked price of the AC is 20% more than its cost price and the selling price of the AC is 15% more than its cost price. If the shopkeeper offers a discount of Rs.500 on marked price of AC, then find the selling price of AC?

Correct Answer: (d) Rs.11500
Solution:CP of AC = 5x
MP of AC = 5x × 120/100 = 6x
SP of AC = 5x × 115/100 = 5.75x
6x – 500 = 5.75x
x = 2000
SP of AC = 5.75 × 2000 = Rs.11500

65. A shopkeeper gives two successive discounts of 10% and 20% on the marked price of shirt. If he received the profit is 1/10 of the total discount, then find the approximate profit percentage?

Correct Answer: (b) 4%
Solution:MP of shirt = x
SP of shirt = x × 90/100 × 80/100 = 0.72x
Discount = x – 0.72x = 0.28x
Profit = 0.28x/10 = 0.028x
CP of shirt = 0.72x – 0.028x = 0.692x
Required percentage = 0.028x/0.692x × 100 = 4%

66. Sum of the selling price of mobile and watch is Rs.9000. Ratio of the discount offered by shopkeeper on mobile and watch is 1:3. If the sum of the marked price of mobile and watch is Rs.15000, then find the discount offered by shopkeeper on watch?

Correct Answer: (a) Rs.4500
Solution:Discount on mobile and watch = 15000 – 9000
= 6000
3x + x = 6000
x = 1500
Discount of watch = 1500 × 3 = 4500

67. Ratio of the selling price of Pen and pencil is 7:4. If there had been 25% more on selling price of pencil, then the selling price of pencil would be Rs.30. If the Pen sold at 20% profit, then find the cost price of the Pen?

Correct Answer: (d) Rs.35
Solution:4x × 125/100 = 30
x = 6
SP of Pen = 7 × 6 = Rs.42
CP of Pen = 42 × 100/120 = 35

68. The percentage of loss incurred by selling the article at Rs.1800 is equal to 50% of the percentage of profit earned by selling the same article at Rs.2100. Find the cost price of the article?

Correct Answer: (b) Rs.1900
Solution:

(CP – 1800)/CP × 100 = 50/100 × ((2100 – CP)/CP) × 100
2CP – 3600 = 2100 – CP
CP = 1900

69. Ratio of the marked to cost price of the Plane is 6:5 and the ratio of the marked to selling price of the plane is 12:11. What is the profit percentage of the plane?

Correct Answer: (b) 10%
Solution:MP = 6x
CP = 5x
SP = 11/12 × 6x = 5.5x
Required percentage
= (5.5x – 5x)/5x × 100 = 10%

70. If the marked price of the TV is 25% more than its cost price and the shopkeeper offer two successive discounts of 20% and 15% on marked price of the TV. If the selling price of the TV is Rs.13600, then find the cost price of the TV?

Correct Answer: (c) Rs.16000
Solution:CP of TV = 4x
MP of the TV = 4x × 125/100 = 5x
5x × 80/100 × 85/100 = 13600
x = 4000
CP of TV = 4 × 4000 = 16000