Question:
If the compound interest on a sum for 2 years at 10% per annum (compounded annually) is ₹630, find the principal.
यदि 2 सालों में 10% वार्षिक चक्रवृद्धि ब्याज (सालाना compound) पर ₹630 ब्याज मिलता है, तो मूल राशि क्या है?
Options:
- a) ₹2000
- b) ₹2500
- c) ₹3000
- d) ₹3500
- a) ₹2000
- b) ₹2500
- c) ₹3000
- d) ₹3500
correct answer : c)
Explanation:
CI = P[(1+r/100)^n – 1]. 630 = P[(1.1)^2-1] = P[1.21-1] = 0.21P. P = 630/0.21 = 3000.
630 = P×[(1.1)²-1] = P×0.21। P = 630/0.21 = ₹3000।