Assertion (A): A certain sum of ₹ 12,000 is lent at 10% per annum compound interest. The amount at the end of three years will be ₹ 12,000 + 20% of ₹ 12,000. Reason (R): The amount at the end of five years = ₹ 12,000 x 11/10 x 11/10 . 1. A is true, R is false. 2. A is false, R is true. 3. Both A and R are true. 4. Both A and R are false.

Question

KnowledgeBoat · Accepted Answer

Both A and R are false. Explanation Given, P = ₹ 12,000, R = 10%, T = 3 years Interest for first year : ₹ 12,000 x = ₹ 1,200 Amount at end of first year : ₹ 12,000 + ₹ 1,200 = ₹ 13,200 Interest for second year : ₹ 13,200 x = ₹ 1,320 Amount at end of second year : ₹ 13,200 + ₹ 1,320 = ₹ 14,520 Interest for third year : ₹ 14,520 x = ₹ 1,452 Amount at end of third year : ₹ 14,520 + ₹ 1,452 = ₹ 15,972 According to assertion, amount = ₹ 12,000 + 20% of ₹ 12,000 = ₹ = ₹ 12,000 + 2,400 = ₹ 14,400 Since the correct amount at the end of three years is ₹ 15,972 and not ₹ 14,400. ∴ Assertion(A) is false. Given, From the assertion, Amount at end of third year = ₹ 15,972 Interest for fourth year : ₹ 15,972 x = ₹ 1,597.2 Amount at end of fifth year : ₹ 15,972 + ₹ 1,597.2 = ₹ 17,569.2 Interest for fifth year : ₹ 17,569.2 x = ₹ 1,756.92 Amount at end of fifth year : ₹ 17,569.2 + ₹ 1,756.92 = ₹ 19,326.12 According to reason, The amount at the end of fifth year = ₹ = = 14520 Since the correct amount at the end of five years is ₹ 19,326.12 and not ₹ 14,520. ∴ Reason(R) is false. Hence, Both Assertion (A) and Reason (R) are false.

Mathematics

Compound Interest

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Assertion (A): On a certain sum, the C.I for consecutive three years at 5% rate is ₹ 420, ₹ 441 and ₹ 460.05, the sum is ₹ 420.
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A is true, R is false.
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Assertion (A): A certain sum is lent for four years at 10% per annum, the amount for the second year is ₹ 1.21 x the sum lent.
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Mathematics

Compound Interest

Related Questions

Assertion (A): On a certain sum, the C.I for consecutive three years at 5% rate is ₹ 420, ₹ 441 and ₹ 460.05, the sum is ₹ 420.Reason (R): The sum is ₹ 420 - 5% of ₹ 420.A is true, R is false.A is false, R is true.Both A and R are true.Both A and R are false.

Assertion (A): A certain sum is lent for four years at 10% per annum, the amount for the second year is ₹ 1.21 x the sum lent.Reason (R): C.I. for second year is equal to 1.21 times the sum lent.A is true, R is false.A is false, R is true.Both A and R are true.Both A and R are false.

Assertion (A): On a certain sum, the C.I for consecutive three years at 5% rate is ₹ 420, ₹ 441 and ₹ 460.05, the sum is ₹ 420.
Reason (R): The sum is ₹ 420 - 5% of ₹ 420.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Assertion (A): A certain sum is lent for four years at 10% per annum, the amount for the second year is ₹ 1.21 x the sum lent.
Reason (R): C.I. for second year is equal to 1.21 times the sum lent.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.