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easyQ. No. 13978-the-simple-interest-accrued-on-an-amount-of-rs-22500-at-the-end-of-four-years-is-rs-10800-what

The simple interest accrued on an amount of Rs. 22500 at the end of four years is Rs. 10800. What would be the SI on the same amount at the same rate for 6 years?

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ARs. 16200
BRs. 16800
CRs. 17200
DRs. 18000
Correct Answer: Rs. 16200Your Answer: A

Explanation

So SI for 1 year = 10800/4 = 2700. SI for 6 years = 2700×6 = 16200. Key shortcut: if SI for t1 years is known, SI for t2 years = (SI/t1)×t2.

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Simple Interest FAQs

Common questions and clear answers for this topic.

What is Simple Interest and what is the basic formula?

Simple Interest (SI) is interest calculated only on the original principal amount. Formula: SI = (P x R x T) / 100, where P = Principal, R = Rate of interest per annum, T = Time in years. Amount = P + SI = P(1 + RT/100). Simple Interest is a key topic in SSC CGL, IBPS Bank PO, SBI Clerk, Railway, and all competitive exams.

How to find Principal, Rate, or Time when Simple Interest is given?

From SI formula: P = (SI x 100) / (R x T). R = (SI x 100) / (P x T). T = (SI x 100) / (P x R). Example: If SI is Rs 600, Principal Rs 5000, Time 3 years, then Rate = (600 x 100)/(5000 x 3) = 4% per annum. Shortcut: If SI doubles the principal (SI = P), then Time x Rate = 100.

What is the difference between Simple Interest and Compound Interest?

Simple Interest (SI): Interest calculated only on principal. Amount after n years = P + PRT/100. Compound Interest (CI): Interest calculated on principal plus accumulated interest. Amount = P(1 + R/100)^n. CI is always greater than SI for same P, R, T. Difference for 2 years: CI - SI = P(R/100) squared. These formulas help solve comparison problems in banking exams.

What are common Simple Interest problems in competitive exams?

Common SI problem types: 1) Find SI when P, R, T given, 2) Find P or R or T when other values given, 3) Money doubles/triples problems, 4) Two investments at different rates. Useful shortcuts: Money doubles when RT = 100. Money becomes 3 times when RT = 200. Money becomes n times when RT = 100(n-1). Practice at least 10 SI problems daily for competitive exam preparation.

How to solve mixture of Simple Interest problems in bank exams?

Mixed SI problems: If total interest from two loans (P1 at R1% and P2 at R2%) for T years is I, then P1 x R1 + P2 x R2 = I x 100/T. For equal SI from two investments: P1/P2 = R2 x T2 / (R1 x T1). Annual repayment installment formula for equal installments over n years at r% SI also appears in IBPS PO Mains.