1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# A certain sum of money ,invested for 4 years at 8 % p.a. simple interest ,earns an interest of ₹ 10,000. Find (a) the sum of money (b) the compound interest earned by this money in two years at 12 % p.a. compound interest

A

₹ 31,250 , ₹ 7950

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

₹ 31,250 , ₹ 39200

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

₹ 30,000 , ₹ 8000

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

₹ 29,250 , ₹ 6950

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is A ₹ 31,250 , ₹ 7950 Let the principal be P r =8% p.a. I = ₹ 10,000 T = 4 years ⇒ Interest = P×T×8×100 ∴ 10000 = P×4×8100 ∴ P = 10000×1004×8 = ₹ 31,250 Hence the sum of money = ₹ 31,250 For Compound Interest A = P (1 + r100)n ⇒31,250((1+12100)2 ⇒31,250(112100)2 Amount = ₹ 39,200 Hence Compound Interest = 39,200 - 31250 = ₹ 7950

Suggest Corrections
1
Join BYJU'S Learning Program
Join BYJU'S Learning Program