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A starts business with a capital of Rs. 1200. B and C join with some investment after 3 and 6 months respectively. If at the end of a year the profit is divided in the ratio 2 : 3: 5 respectively. What is B’s investment in the business?
Ratio of capital, 1200×12 : B × 9 : C × 6 = 2 : 3 : 5
In a rare coin collection, there is one gold for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1 : 2. Based on the information, the total number of coins in the collection now becomes
Let the number of gold and non-gold coins be x and 3x respectively ATQ,
Required number of total coins = 20 + 3×20 + 10= 90
The average age of 12 players of a team is 25 years. If the captain’s age is included, the average age increases by 1 years. The age of the captain is-
Required age of captain = 25 + 13 × 1= 38 years
The simple interest on a certain sum for 8 months at 4% per annum is Rs. 129 less than the simple interest on the same sum for 15 months at 5% per annum. The sum is:
ATQ, 75p – 32p = 129 × 12 × 100 43p = 129 × 12 × 100 or, p = Rs 3600
In a certain year, the population of a certain town was 9000. If the next year the population of males increases by 5% and that of the females by 8% and the total population increases to 9600, then what was the ratio of population of males and females in that given year?
M + F = 9000 And 1.05 M + 1.08 F = 9600 On solving, number of males = 4000 and females = 5000 ∴ Required ratio = 4 : 5
What will come in place of the question mark (?) in the following number series?
6, 42, 301, ?, 21753
Series is as 6 ×6+6=42 42 ×7+7=301 301 ×8+8=2416 And 2416 ×9+9=21753
4, 8, 17, 42, 91, ?
Series is added by square of prime numbers i.e.
4 + 22 = 8
8 + 32 = 17
17 + 52 = 42
42 + 72 = 91
∴ ? = 91 + 112 = 212
1, 2, 6, 15, 31, 56, ?
Pattern is 1 + 12 = 2
2 + 22 = 6
6 + 32 = 15
15 + 42 = 31
31 + 52 = 56
∴ ? = 56 + 62 = 92
41, 39, 43, 37, 45, ?
This is mix series 41,43,45,….. 39,37,35,…..
3, 8, 23, 68, 203, ?
Pattern is 3+5=8 8+15=23 23 +45=68 68+135 = 203 ∴ ? = 203 + 405 = 608
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