Question : A sum of Rs. 2800 is divided into two parts in such a way that the interest on both parts is equal. If the first part is lent at 9% p.a. for 5 years and the second part is for 6 years at 10% p.a., find the two sums.

Option 1: Rs.1800, Rs.1000

Option 2: Rs.1600, Rs.1200

Option 3: Rs.1400, Rs.1400

Option 4: Rs.1300, Rs.1500

Question : A sum of Rs. 4,000 is lent out in two parts, one at 8% simple interest and the other at 10% simple interest. If the annual interest is Rs. 352, the sum lent at 8% is:

Option 1: Rs. 2,900

Option 2: Rs. 2,200

Option 3: Rs. 2,400

Option 4: Rs. 3,100

Question : Rs. 16,820 is divided between two brothers of age 27 years and 25 years. They invested their money at 5% per annum compound interest in such a way that both will receive equal money at the age of 40 years. The share (in Rs.) of elder brother is:

Option 1: Rs. 8,280

Option 2: Rs. 8,410

Option 3: Rs. 8,820

Option 4: Rs. 8,000

Question : A sum of Rs. 5,000 is divided into two parts such that the simple interest on the first part for $4 \frac{1}{5}$ years at $6 \frac{2}{3} \%$ p.a. is double the simple interest on the second part for $2 \frac{3}{4}$ years at 4% p.a. The ratio of the second part to the first part is:

Option 1: 11:14

Option 2: 11 : 13

Option 3: 14 : 11

Option 4: 13 : 11

Question : A sum of INR 50,250 is divided into two parts such that the simple interest on the first part for $7 \frac{1}{2}$ years at $8 \frac{1}{3} \%$ p.a. is $\frac{5}{2}$ times the simple interest on the second part for $5 \frac{1}{4}$ years at $8 \%$ p.a. What is the difference (in INR ) between the two parts?

Option 1: 10,275

Option 2: 12,750

Option 3: 12,570

Option 4: 15,270