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Arithmetic: Percentage Test -5

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Question 1
A person bought two tables for Rs. 2200. He sells one at 5% loss and the other at 6% profit and thus on the whole he neither gains nor loses. Find the cost price of each table.
A
Rs 1500, Rs 700
B
Rs 2000, Rs 200
C
Rs 1200, Rs 1000
D
Rs 1100, Rs 1100
Question 1 Explanation: 
Let the cost of table = t
Then the cost price of other will be = (2200 –t)
=> t x (95/100) + (2200 – t) x 106/100 =2200
=> 95t + 233200 – 106 t =220000
=>  11t = 13200
=>  t = 1200 Rs and 2200 – t =1000 Rs
Question 2
A tree was planted three years ago. The rate of its growth is 30% per annum. If at present, the height of the tree is 670 cm, what was it when the tree was planted?
A
305 cm
B
500 cm
C
405 cm
D
625 cm
Question 2 Explanation: 
Let the height of the tree be (h)
=>  h x {1+(30/100)3} =670
=>  h = 670 x {( 10 x 10 x10 )/(13 x 13 x 13)} = 305 approx.
Question 3
When the price of sugar was increased by 32%, a family reduced its consumption in such a way that the expenditure on sugar was only 10% more than before. If 30 kg per month were consumed before, find the new monthly consumption.
A
42 kg
B
35 kg
C
25 kg
D
16 kg
Question 3 Explanation: 
Let the price of the sugar be Rs(p) / kg
=>  Initial expenditure = 30p
=>   new expenditure = 33p
=>   new monthly consumption = 33p/1.32p = 25kg
Question 4
A man's income is increased by Rs. 1200 and at the same time, the rate of tax to be paid is reduced from 12% to 10%. He now pays the same amount of tax as before. What is his increased income, if 20% of his income is exempted from tax in both cases?
A
Rs 6300
B
Rs 7200
C
Rs 4500
D
Rs 6500
Question 4 Explanation: 
Let the increased income be P
=>  (P – 1200) x 80/100 x 12/100 = P x 80/100 x10/100
=>  12P – 14400 =10p
=>  P = Rs. 7200
Question 5
Mr. Bharat Toni buys a generator for Rs. 100000 and rents it.  He puts 12.5% of each month's rent aside for upkeep and repairs, pays Rs. 325 per year as taxes and realizes 5.5% annually on his investment. Find the monthly rent.
A
Rs 634.76
B
Rs 654.76
C
Rs 554.76
D
Rs 456.32
Question 5 Explanation: 
Let Monthly rent be = (r)
=>  12r – 12r x (12.5/100) -325 = 100000 x (5.5/100)
=>   12r – 1.5r – 325 = 5500
=>  r = (5500 +325)/ 10.5 = Rs 554.76
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