**Ques 1: The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?**

(a) 4 years

(b) 8 years

(c) 10 years

(d) None of these

**Ques 2: Harsha is 40 years old and Rita is 60 years old. How many years ago was the ratio of their ages 3 : 5 ?**

(a) 10 years

(b) 20 years

(c) 37 years

(d) 5 years

**3: In how many years, a sum will be thrice of it at the rate of 10% per annum?**

(a) 15 years

(b) 20 years

(c) 30 years

(d) 40 years

**3: The sum of money that will give Re 1 as simple interest per day at the rate of 5% per annum, is:**

(a) Rs. 730

(b) Rs. 3650

(c) Rs. 7300

(d) Rs. 36500

**5 : The simple interest on a certain sum for 2 years is Rs. 120 and compound interest is Rs. 129. Find the rate of interest.**

(a) 14%

(b) 15%

(c) 12%

(d) 12.5%

**Answers:**

**1:**(a) Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.

Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50

=> 5x = 20

=> x = 4.

So Age of the youngest child = x = 4 years

**2:**(a)Let x years ago the radio of their ages was 3 : 5

so According to the question

(40-x )/(60-x )=3/5

Or, 200 – 5x = 180 – 3x

or, 2x = 20

so X = 10 years

**3:**(b) 2P=(PX10XT)/100, T=20 years

**4:**(c) Annual Interest=315

365=(PX5X1)/100

P=7300

**5:**(b) 129/120= (200+r)/200, r=15%

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