Question

82. A retailer buys a radio from the wholesaler for 75.00. He then marks up the price
by 1/3 and sells it at a discount of 20%. What was his profit on the radio (to the
nearest paisa)?
(1) 5-00
(2) 6 67
(3) 7-50
(4) 10-00
83. If the radius of a circle is increased by 50%, what will be the percent increase in the
circumference of the circle ?
(1) 25%
(2) 50%
(3) 100%
(4) 150%
84. On a map, 1 inch represents 1,000 miles. If the area of a country is actually
16 million square miles, what is the area of the country's representation on the map?
(1) 4 square inches
(2) 16 square inches
(3) 4,000 square inches
(4) 16,000 square inches
85. If the length of a rectangle is increased by 120%, and its width is decreased by 20%
what happens to the area of the rectangle?
(1) It decreases by 4%
(2) It increases by 24%
(3) It increases by 76%
(4) It increases by 100%
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Answer 1

Answer:

Rs 5.00

50%

16 square inches

76 %

Step-by-step explanation:

Radio bought for Rs 75

Marked Price = 75 + (1/3)75 = Rs 100

Discount = (20/100)*20 = Rs 20

Selling Price = 100 - 20 = Rs 80

Profit = 80 - 75 = Rs 5.00

Let say Radius of circle = R

Circumference = 2πR

50% increased in Radius

=> New Radius = R + (50/100)R = 1.5R

New Circumference = 2π(1.5R) = 3πR

Increase in circumference = 3πR - 2πR = πR

% increase in  circumference = (πR/2πR ) * 100 = 50%

1 inch represents 1,000 miles.

16 million square miles = 4000 * 4000  square miles

= 4 * (1 inch) * 4 ( 1 Inch)

= 16 square inches

Area = LB

New Length = L + (120/100)L = 2.2L

New Breadth = B - (20/100)B = 0.8B

New Area = 2.2L*0.8B = 1.76LB

increase in Area = 0.76LB

% increase = (0.76LB/LB) * 100 = 76 %