Top 100+ Percentages Aptitude Online Test - 2
Question: 6
The price of sugar increases by 32%. A family reduces its consumption so that the expenditure of the sugar is up only by 10%. If the total consumption of the sugar before the price rise was 10 kg per month, then the consumption of sugar per month at present (in kg) is
(A) $$8{1}/{2}$$
(B) $$8{1}/{3}$$
(C) $$8{3}/{4}$$
(D) 9
Ans: B
Let the original price of sugar be Rs. 10 per kg.
Then, original expenditure = Rs. (10 × 10) = Rs. 100.
New expenditure = 110% of 100 = Rs. 100.
New price of sugar = 132% of 10 = Rs. 13.20.
New consumption = $$({110} / {13.20})$$ kg = $${25}/{3}$$ kg = $$8{1}/{3}$$kg
Question: 7
In an examination, 96% of students passed and 500 students failed. How many students did appear at the examination?
(A) 12500
(B) 13500
(C) 14000
(D) 14500
Ans: A
Let number of students who appeared at the examinatic be x.
Passed percentage = 96%
Failed percentage = 4%
According to given information we get
Unsuccessful students ⇒ 4%
∴ 4% of x = 500
⇒ $$({x ×4}/{100})$$ = 500
⇒ x = $$({500 × 100} / {4})$$ = 12500.
Question: 8
In a mixture of milk and water, the proportion of water by weight was 75%. If in the 60 gms mixture 15 gm of water was added, what would be the percentage of water?
(A) 75%
(B) 80%
(C) 85%
(D) 90%
Ans: B
Weight of water in 60 gms mixture = 75% of 60 = $$({75}/{100} × 60)$$ = 45 gm.
Weight of water in 75 gms mixture = (45 + 15) gm = 60 gm.
∴ Required percentage = $$({60}/{75} × 100)%$$ = 80%.
Question: 9
(23.6% of 1254) – (16.6% of 834) = ?
(A) 153.5
(B) 155.5
(C) 157.5
(D) 159.5
Ans: C
(23.6% of 1254) – (16.6% of 834)
= $$({236}/{10} × {1}/{100} × 1254)$$ – $$({166}/{10} × {1}/{100} × 834)$$
= $${1}/{1000}$$(236 × 1254 - 166 × 834)
= $${12}/{1000}$$(24662 – 11537) = $$({12 × 13125} / {1000})$$ = 157.5.
Question: 10
The owner of a boutique decides to calculate the percentage of customers who purchase hats. If 40 percent of the store’s customers decide to purchase items, and of those customers 15 percent purchase hats, what percent of the store’s customers purchase hats?
(A) 4%
(B) 6%
(C) 15%
(D) 24%
Ans: B
Let the total number of customers be x.
Then, number of customers who purchase hats = 15% of 40% of x
= $$({15}/{100} × {40}/{100} × x)$$ = $${6x}/{100}$$
= 6% of x.
∴ Required percentage = 6%.
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