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## Arithmetic: Percentage Test -5

Congratulations - you have completed Arithmetic: Percentage Test -5.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%%
 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 â€“t)
=> t x (95/100) + (2200 â€“ t) x 106/100 =2200
=> 95t + 233200 â€“ 106 t =220000
=>Â  11t = 13200
=>Â  t = 1200 Rs and 2200 â€“ 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)
=>Â  h x {1+(30/100)3} =670
=>Â  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
=>Â  Initial expenditure = 30p
=>Â Â  new expenditure = 33p
=>Â Â  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
=>Â  (P â€“ 1200) x 80/100 x 12/100 = P x 80/100 x10/100
=>Â  12P â€“ 14400 =10p
=> Â P = Rs. 7200
 Question 5
Mr. Bharat Toni buys a generator for Rs. 100000 and rents it.Â  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)
=>Â  12r â€“ 12r x (12.5/100) -325 = 100000 x (5.5/100)
=>Â Â  12r â€“ 1.5r â€“ 325 = 5500
=>Â  r = (5500 +325)/ 10.5 = Rs 554.76
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