1. Which number should be added to each of 4, 6, and 10 so that the resulting sums are in continued proportion?

2. Write with calculation how much should be added to each of 6, 15, 20, and 43 so that the resulting sums are in proportion.

3. From each of the numbers 6, 10, 9, and 16, if the same number is subtracted, the resulting values are in proportion. What is that number?

(a) 1 (b) 2 (c) 3 (d) 4

4. Determine the number that, when added to each of 2, 4, 6, and 10, makes the sums proportional.

5. My aunt wants to will ₹56,000 between her two sons, aged 13 and 15, in such a way that by the time each turns 18, the total amount (principal + interest) received by both sons is equal. The interest is calculated at an annual simple interest rate of 10%. Determine how much should be allotted to each son in the will.

6. Write down the calculation to find the number which, when added to each of 2, 4, 6, and 10, will make the resulting numbers proportional.

7. When Mr. Subir retired from his job, he received a lump sum of ₹6,00,000 from his Provident Fund and Gratuity. He wants to divide this amount between the post office and the bank in such a way that he earns ₹34,000 annually as interest. If the annual simple interest rates of the post office and the bank are 6% and 5% respectively, determine how much money he should deposit in each.

8. Anil Babu wants to allocate ₹56,000 between his two sons, aged 13 and 15, such that when they turn 18, the simple interest earned at an annual rate of 10% is equal to their respective principal amounts. Determine the amount allocated to each son in the will.

9. Determine how much must be subtracted from each of 23, 30, 57, and 78 so that the resulting differences are in proportion.

10. Due to a road safety awareness campaign in a certain state, road accidents have decreased by 10% each year compared to the previous year. If the number of road accidents in the current year is 2916, let’s calculate and write down how many accidents occurred in that state 3 years ago.

11. At the beginning of the year, Pradeep Babu and Amina Bibi started a business with ₹24,000 and ₹30,000 respectively. After five months, Pradeep Babu added ₹4,000 more to the capital. At the end of the year, if there is a profit of ₹27,716, calculate how much profit each person will receive.