Percentage Questions and Answers of Aptitude for SSC and Bank Exam

Percentage Problems with Solutions

Q.31 I mixed some water in pure milk and the mixtures is sold at the cost price of the milk. If I gained 16 2/3 %, in what ratio did I mix water in the milk?

(A) 1: 5

(B) 5: 1

(C) 7: 1

(D) None

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Q.32 In a certain camp, 20% of the boys are from Maharashtra state and 30% of those are from Bombay city. If there are 49 boys in the camp who are from Maharashtra state but not from Bombay city. What is the total number of boys in the camp?

(A) 70

(B) 245

(C) 163

(D) 350

Q.33 A rise of 600 m is required to get a rail road over a mountain the grade can be kept down by lengthening the track and curving it around the mountain peak. The additional length of the track required to reduce the grade from 2% to 3% is approximately.

(A) 10000 m

(B) 20000 m

(C) 120000 m

(D) 30000 m

Q.34 An insurance collector receives 15% commissions on the premium collected. How much must he collect per week in order that his annual income may be Rs. 6500/- ?

(A) Rs. 1250

(B) Rs. 833.67

(C) Rs. 720

(D) Rs. 650.78

Q.35 A man taxed at a rate of 5% as income tax and 10% special surcharge on the mount of income tax pays altogether Rs. 1110. Find his gross income if he is allowed a deduction of 20%

(A) 20000

(B) 25000

(C) 30000

(D) None

Q.36 A garden has only red, green and white flowers. 60% of the flowers have red colours, 30% have green colour and 50% have white colour. If no flower has all the three colours, what percentage of the flowers have only one colour?

(A) 40

(B) 50

(C) 60

(D) None

Q.37 In school X, there are 600 pupils of whom one quarter are girls. In school Y, there are 500 pupils of whom three-fifth are girls, and in school Z, there are 700 pupils of whom half are girls. What percentage of the total number of pupils  in the three schools is comprised of girls?

(A) 44.44%

(B) 45%

(C) 50%

(D) 55.55%

Q.38 An alloy contains tin and copper in the ration 4: 5. If tin has 20% impurity and copper 58%, what is the average % impurity?

(A) 20%

(B) 41.1%

(C) 35%

(D) 38%

Q.39 A cyclist rides along a circular track of radius 21 kms in 4 hrs. What is the average speed?

(A) 30 kmph

(B) 31 kmph

(C) 32 kmph

(D) 33 kmph

Q.40 A merchant buys Rs. 20000 worth of goods. On the way 40% of the items are damaged. He is forced to sell them at a 10% loss. What profit % should he make on the rest of the items to make an overall profit of 20%?

(A) 20% profit

(B) 25% profit

(C) 35% profit

(D) 40% profit

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