Question

Mohan had some share wit h face value RS. 100 paying 8% dividend . he sold them for RS. 130 each and invested the proceed in RS. 50 shares of some other company at RS. 75 and paying 12%dividend . If by doing so his annual income is increased by RS. 360 find the no. Of shares

Answer 1

Step-by-step explanation:

Given  

Mohan had some share wit h face value RS. 100 paying 8% dividend . he sold them for RS. 130 each and invested the proceed in RS. 50 shares of some  other company at RS. 75 and paying 12%dividend . If by doing so his annual income is increased by RS. 360 find the no. Of shares

• Let a be the number shares
• Now face value of each share is Rs 100
• Rate of dividend is 8%
• So dividend = 100 a x 8 / 100
•                    = 8 a
• Mutual value of each share is Rs 130
• Sale proceed of a share = Rs 130 x a = 130 a
• Investing this sum in Rs 75 share of Rs 50
• Face value = 130 a x 50 / 75
•                  = 260 a / 3
• Dividend = 260 a / 3 x 12 / 100
•                = 52 a / 5
• Gain = 52 a / 5 – 8 a
•         = 52 – 40 / 5 a
•         = 12 / 5 a
• Therefore we know that annual income is increased by Rs 360
• So 12 / 5 a = 360
• So a = 360 x 5 / 12

Therefore number of shares = 150

Reference link will be

https://brainly.in/question/3037294