Question

A person is entitled to receive annual payment which for each year is less by 1/10th of what it was for the year before.if the initial payment is RS 1000 however long may live​

Answer 1

Question (Corrected):

A person is entitled to receive an annual payment which for each year is less by 1/10 of what it was for the year before.If the initial payment is Rs 1000 find the maximum possible payment which he can receive however long he may live?

Given:

Initial Payment = Rs 1000

Annual Payment = 1/10 less than the year before

To Find:

Maximum amount he can receive

Observation:

$\text{He receives } \dfrac{1}{10} \text{ less than the previous year}$

$\text{It means he receives } \dfrac{9}{10} \text{ of the previous year}$

Solve:

$\text{Assumed he can live for infinitely:}$

$S_\infty = \dfrac{a}{1 - r}$

Given that a = Rs 1000 and r = 9/10:

$S_\infty = \dfrac{1000}{1 - \dfrac{9}{10} }$

$S_\infty = \dfrac{1000}{\dfrac{1}{10} }$

$S_\infty = 1000 \div \dfrac{1}{10}$

$S_\infty = 1000 \times 10$

$S_\infty = \text{Rs } 10000$

Answer: The maximum he can receive is Rs 10000

Answer 2

Step-by-step explanation:

Given A person is entitled to receive annual payment which for each year is less by 1/10th of what it was for the year before.if the initial payment is RS 1000 however long may live ....

• According to the question first or initial payment is Rs 1000
• So second payment will be 1/10 less of first payment so it will be 900
• So third payment will be 900 x 9/10 = 810
• So annual payments will be 1000,900, 810…….which are in G.P with r = 9/10
• Therefore sum will be 1000 + 900 + 810 +…………
• So 1000 / 1 – 9/10
• = 10,000
• So he will be able to receive a maximum amount of Rs 10,000

Reference link will be

https://brainly.in/question/13186837