Problem 1 :
Two numbers are in the ratio 2 : 3 and the difference of their squares is 320. The numbers are :
(a) 12, 18
(b) 16, 24
(c) 14, 21
(d) None of these
Solution :
Problem 2 :
X, Y, Z together starts a business. If X invests 3 times as much as Y invests and Y invests two third of what Z invests, then the ratio of capitals of X, Y, Z is :
(a) 3 : 9 : 2
(b) 6 : 3 : 2
(c) 3 : 6: 2
(d) 6 : 2 : 3
Solution :
Problem 3 :
An alloy is to contain copper and zinc in the ratio 9 : 4. The zinc required to melt with 24 kg of copper is :
(a) 10⅔ kg
(b) 10⅓ kg
(c) 9⅔ kg
(d) 9 kg
Solution :
Problem 4 :
Two numbers are in the ratio 7 : 8. If 3 is added to each of them, their ratio becomes 8 : 9. The numbers are :
(a) 14, 16
(b) 24, 27
(c) 21, 24
(d) 16, 18
Solution :
Problem 5 :
Ratio of earnings of A and B is 4 : 7. If the earnings of A increase by 50% and that of B decrease by 25%, then the new ratio of their earning becomes 8 : 7. What is A’s earning?
(a) $21,000
(b) $26,000
(c) $28,000
(d) Data Inadequate
Solution :
Problem 6 :
$407 are to be divided among A, B and C so that their shares are in the ratio ¼ : ⅕ : ⅙. The respective shares of A, B, C are :
(a) $165, $132, $110
(b) $165, $110, $132
(c) $132, $110, $165
(d) $110, $132, $165
Solution :
Problem 7 :
The incomes of A and B are in the ratio 3 : 2 and their expenditures in the ratio 5 : 3. If each saves $1,500, then B’s income is :
(a) $6,000
(b) $4,500
(c) $3,000
(d) $7,500
Solution :
Problem 8 :
In what ratio should tea worth $10 per kg be mixed with tea worth $14 per kg, so that the average price of the mixture may be $11 per kg?
(a) 2 : 1
(b) 3 : 1
(c) 3 : 2
(d) 4 : 3
Solution :
Problem 9 :
The ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13, their present ages (in years) are :
(a) 50, 70
(b) 40, 56
(c) 70, 50
(d) None of these
Solution :
Problem 10 :
If A, B and C started a business by investing $126,000, $84,000 and $210,000 respectively. If at the end of the year profit is $242,000, then the share of each person is :
(a) 72,000, 48,400, 1,21,000
(b) 72,600, 48,400, 121,000
(c) 72,000, 49,000, 1,21,000
(d) 48,000, 1,21,400, 72,600
Solution :
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