Five-ninths of number is equal to twenty five percent of the second number. The second number is equal to one-fourth of the third number. The value of the third number is 2960. What is 30 percent of the first number?
(a) 88.8
(b) 99.9
(c) 66.6
(d) Cannot be determined
(e) None of these
Answer is (b)
Second number = \(\displaystyle \frac{1}{4}\times 2960=740\)
. A petrol pump owner mixed leaded and unleaded petrol in such a way that the mixture contains 10% unleaded petrol. What quantity of leaded petrol should be added to 1 litre mixture so that the percentage of unleaded petrol becomes 5%?
(a) 900 ml
(b) 1000 ml
(c) 1800 ml
(d) 1900 ml
(e) None of these
Answer is (b)
In 1 litre quantity of unlead petrol = 100 ml (given 10%)
A person could save 10% of his income. But 2 years later, when his income increased by 20%, he could save the same amount only as before. By how much percentage has his expenditure increased?
In an examination, 40% of the candidates wrote their answers in Hindi and the others in English. The average marks of the candidates written in Hindi is 74 and the average marks of the candidates written in English is 77. What is the average marks of all the candidates?
(a) 75.5
(b) 75.8
(c) 76.0
(d) 76.8
(e) None of these
Answer is (b)
Let total number of candidates = 100
Therefore, total marks of 40 candidates = 40 × 74
Total marks of 60 candidates = 60 × 77
Therefore, required average marks = \(\displaystyle \frac{{40\times 74+60\times 77}}{{100}}\)
A manufacture undertakes to supply 2000 pieces of a particular component at ₹25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However as it turned out, 50% of the components were rejected. What is the loss to the manufacture?
(a) ₹ 12,000
(b) ₹ 13,000
(c) ₹ 14,000
(d) ₹ 15,000
(e) None of these
Answer is (b)
5% of 2000 = 100
2000 – 100 =1900
If he sells 1900 he will get 25% profit cost per piece ₹25
Ram spends 50% of his monthly income on household items, 20% of his monthly income on buying clothes, 5% of his monthly income on medicines and saves remaining ₹ 11,250. What is Ram’s monthly income?
(a) ₹ 38,200
(b) ₹ 34,000
(c) ₹ 41,600
(d) ₹ 45,000
(e) None of these
Answer is (d)
Let total income of Ram be x. Then
(100 – 50 – 20 – 5)% of x = 11250
x = 45000.
If the numerator of a fraction is increased by 350% and the denominator of the fraction is increased by 300% the resultant fraction is \(\displaystyle \frac{9}{2}\). What is the original fraction ?
(a) \(\displaystyle \frac{3}{4}\)
(b) \(\displaystyle \frac{5}{12}\)
(c) \(\displaystyle \frac{7}{9}\)
(d) \(\displaystyle \frac{4}{11}\)
(e) None of these
Answer is (d)
Let the original fraction is \(\displaystyle \frac{a}{b}\)
Sujata scored 2240 marks in an examination that is 128 marks more than the minimum passing percentage of 64%. What is the percentage of marks obtained by Meena if she scores 907 marks less than Sujata?
