Question

If a sum of money becomes Rs.6800 in 5 years at a certain rate of interest compounded annually and becomes Rs.15300 in 15 year. Find sum of money after 10 year .​

Answer 1

sum of money after 10 year .​ = Rs 10200   If a sum of money becomes Rs.6800 in 5 years at a certain rate of interest compounded annually and becomes Rs.15300 in 15 year

Step-by-step explanation:

Let say Amount = P

Rate of interest = R % per annum

amount after 5 Years  = P ( 1 + R/100)⁵

P ( 1 + R/100)⁵  = 6800

P ( 1 + R/100)¹⁵  = 15300

Multiplying both

P ( 1 + R/100)⁵ * P ( 1 + R/100)¹⁵ = 6800 * 15300

= P² ( 1 + R/100)²⁰ = 17 * 4 * 100 * 17 * 9 * 100

=> P² (( 1 + R/100)¹⁰)² = 17² * 2² * 100² * 3²

=> (P (1 + R/100)¹⁰)² = ( 17 * 2 * 3 * 100)²

=> P (1 + R/100)¹⁰ = 10200

sum of money after 10 year .​ = 10200

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