Ram gives Rs.40,000 to Shayam at 10% annual compound interest for two years. Shayam gives that money received from Ram to Pawan at 15% annual compound interest. Two year later Shayam receive his due amount from Pawan, And Shayam gives due amount to Ram, What amount left with Shayam after 2 years?
Ram gives Rs.40,000 to Shayam at 10% annual compound interest for two years. Shayam gives that money received from Ram to Pawan at 15% annual compound interest. Two year later Shayam receive his due amount from Pawan, And Shayam gives due amount to Ram, What amount left with Shayam after 2 years? Correct Answer Rs.4,500
Given:
Ram gives Rs.40,000 to Shayam at 10% annual compound interest for 2 years
Shayam gives Rs.40,000 to Pawan at 15% annual compound interest for 2 year
Concept:
A = P × (1 + R/100)T
A = Final amount
P = Initial amount
R = Rate of interest
T = Time
Calculation:
After 2 year Shayam pay amount to Ram = 40000 × (1 + 10/100)2
⇒ 40000 × (11/10) × (11/10)
⇒ Rs.48,400
After 2 year Pawan pay amount to Shayam = 40000 × (1 + 15/100)2
⇒ 40000 × (23/20) × (23/20)
⇒ Rs.52,900
Amount left with Shayam after 2 years = 52900 – 48400
⇒ Rs.4,500
∴ Rs.4,500 left with Shayam after 2 years.