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simple-compound-interest-l2 MCQ - Practice Questions with Answers

Solve 30 simple-compound-interest-l2 questions for RAS/RPSC preparation.

Practice questions

Q1For simple interest on Rs 5000 at 8% per year, what is the interest for the third year only?

A Rs 432
B Rs 400
C Rs 1200
D Rs 5400
Explanation

Simple interest uses the original principal for every year, so the third year's interest is 8% of Rs 5000, which is Rs 400. Rs 1200 is the interest for all 3 years, and Rs 5400 is an amount after one year, not the asked interest.

Q2Asha invests Rs 1000 at 10 percent per year for 2 years. Under simple interest, what is the interest?

A Rs 200
B Rs 210
C Rs 100
D Rs 1200
Explanation

Simple interest is principal multiplied by rate multiplied by time divided by 100. Asha has Rs 1000, 10 percent and 2 years, so the interest is Rs 200. The item checks whether the candidate reads interest, not amount.

Q3For the same principal, the same positive yearly rate, and 2 years, which statement is correct?

A Compound interest is usually greater than simple interest.
B Simple interest is always greater because the rate is fixed.
C Both must be equal for every period.
D Compound interest is smaller because interest is subtracted each year.
Explanation

With a positive rate and more than one period, compound interest usually becomes greater because each new period starts from the updated amount. Simple interest keeps using the original principal, so options saying it is always greater or always equal miss the change of base.

Q4Match the term with its meaning: Principal, Rate, Amount, Compound interest. Which set is correct?

A Principal-starting sum; Rate-per hundred; Amount-final total; Compound interest-interest on updated base
B Principal-final total; Rate-time; Amount-original sum; Compound interest-fixed yearly interest
C Principal-rate; Rate-final total; Amount-time; Compound interest-profit only
D Principal-time; Rate-starting sum; Amount-per hundred; Compound interest-loss only
Explanation

The matching checks vocabulary precision. If Meena confuses amount with interest or principal with amount, later numerical work becomes unreliable even when she remembers a formula.

Q5Which statement correctly compares simple and compound interest for the same positive rate and more than one year?

A Simple interest is always greater.
B Both are always equal.
C Compound interest is usually greater.
D The comparison never depends on time.
Explanation

After the first compounding interval, compound interest begins to use a larger base. That is why Devika should expect it to be usually greater than simple interest when rate is positive and time is more than one period.

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More questions

6Which year-wise table is best for first showing why simple interest on Rs 2000 at 10% per year for 3 years gives equal interest every year?

AYear, formula name, final answer
BYear, rate only, teacher's remark
CYear, starting money, interest for the year, ending money
DYear, bank name, account number, final answer

7Rs 1000 is compounded annually at 10 percent per year for 2 years. What is the compound interest?

ARs 210
BRs 1210
CRs 200
DRs 220

8In an interest problem, what does principal mean?

AThe final total after adding interest
BThe starting money on which interest is calculated
CThe interest per hundred for one year
DThe number of years for which money is used

9Assertion: For Rs 2000 at 5 percent, first-year simple interest and first-year compound interest are equal. Reason: In the first year, both rules use the original principal.

AAssertion false, reason true
BAssertion true, reason false
CBoth false
DBoth true and the reason explains it

10A learner solves Rs 2000 at 5 percent compound interest for 2 years and writes: first year interest Rs 100, second year interest Rs 100, total interest Rs 200. Which teacher response best names the error?

AThe rate should be doubled because the time is 2 years.
BThe learner has reported amount instead of interest.
CThe second year should start from Rs 2100, so the second year interest is Rs 105.
DThe learner should divide the principal by 5 before finding interest.

11A town has a population of 20000. It grows by 5% each year, and each year's growth is calculated on the updated population. Which statement is correct after 2 years?

AThe population will be 21000 because growth is counted only once.
BThe population will be 22000 because 1000 is added in both years.
CThe population will be 20500 because 5% of 10000 is added.
DThe population will be 22050 because the second 5% is calculated on 21000.

12A question says: Principal Rs 3000, rate 6% per year, time 2 years, simple interest. Which sequence is the most sensible before calculating?

AWrite the final amount first, then decide the type of interest.
BChange 2 years into 2% because both are numbers.
CIgnore time and use only principal and rate.
DList principal, rate, time, type of interest, and then check whether interest or amount is asked.

13Which combination is correct? Statement I: In simple interest, every year uses the original principal. Statement II: In compound interest, the base is updated after each compounding period.

AOnly Statement I is correct
BOnly Statement II is correct
CNeither Statement I nor Statement II is correct
DBoth Statement I and Statement II are correct

14If simple interest on Rs 5000 for 2 years is Rs 600, what classroom step best helps Devika find the annual rate?

AWrite the simple-interest relation and isolate rate.
BUse compound amount for three years.
CSubtract 600 from 5000 first.
DIgnore time because rate already includes years.

15A learner writes this table for Rs 1000 at 10% compound interest per year. Year 1 starting money Rs 1000, interest Rs 100, ending money Rs 1100. What should be the starting money for Year 2?

ARs 100
BRs 1000
CRs 1100
DRs 1210

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