Percentage
- A papaya was planted 2 years ago. It increases at the rate of 20% every year. If at present, the height of the tree is 540 cm, what was it when the tree was planted ?
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∵ 540 = H(1 + 20/100)2
∴ H = (540 x 5/6 x 5/6) = 375 cmCorrect Option: B
∵ 540 = H(1 + 20/100)2
∴ H = (540 x 5/6 x 5/6) = 375 cm
- The boys and girls in a collage are in ratio 3 : 2. If 20% of the boys and 25% of the girls are adults, the percentage of students who are not adults is ?
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Suppose boys = 3N and girls = 2N
Not adults = (80% of 3N) + (75% of 2N) = (12N/5 + 3N/2) = 39N/10Correct Option: C
Suppose boys = 3N and girls = 2N
Not adults = (80% of 3N) + (75% of 2N) = (12N/5 + 3N/2) = 39N/10
∴ Required percentage = (39N/10 / 1/5N) x 100 % = 78%
- On deceasing the price of T.V. set by 30%. Its sale in increased by 20%. What is the effect on the revenue received by the shopkeeper?
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Let price = Rs. 100, sale = 100
Then sale value = Rs. (100 x 100) = Rs. 10000
New sale value = Rs. (70 x 120) = Rs. 8400Correct Option: D
Let price = Rs. 100, sale = 100
Then sale value = Rs. (100 x 100) = Rs. 10000
New sale value = Rs. (70 x 120) = Rs. 8400
Decrease% = (1600/10000) x 100 % = 16%
- 3 litres of water is added to 15 litres of a mixture of a 20% solution of alcohol in water. The strength of alcohol is now ?
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Alcohol in 15 litres =(20 x 15)/100 litres = 3 litres
Now, alcohol in 18 litres = 3 litresCorrect Option: B
Alcohol in 15 litres =(20 x 15)/100 litres = 3 litres
Now, alcohol in 18 litres = 3 litres
∴ strength of alcohal =(3/18) x 100 % = 162/3%
- Water tax is increased by 20% but its consumption is decreased by 20%. Then the increase or decrease in the expenditure of the money is ?
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Let tax = Rs. 100 and Consumption = 100 units
Original expenditure = Rs. (100 x 100) = 10000
New expenditure = Rs. (120 x 80) = Rs. 9600Correct Option: D
Let tax = Rs. 100 and Consumption = 100 units
Original expenditure = Rs. (100 x 100) = 10000
New expenditure = Rs. (120 x 80) = Rs. 9600
∴ Decreased in expenditure = (400 x 100)/1000 % = 4%