Top 100+ Simple Interest Problems with Solutions Pdf - 2

Question: 6

If Rs.64 amounts to Rs.83.20 in 2 years, what will Rs.86 amount to in 4 years at the same rate percent per annum?

(A) Rs. 114.80

(B) Rs. 124.70

(C) Rs. 127.40

(D) Rs. 137.60

Ans: D

P = Rs. 64, S.I. = Rs. (83.20 – 64) = Rs. 19.20, T = 2 years.

So, rate = $$({100 × 19.20} / {64 × 2})%$$ = 15%.

Now, P = Rs. 86, R = 15%, T = 4 years.

∴ S.I. = Rs. $$({86 × 15 × 4} / {100})$$ = Rs. 51.60.

Amount = Rs. (86 + 51.60) = Rs. 137.60.

Question: 7

John invested an amount of Rs.12,000 at the rate of 10 p.c.p.a. simple interest and another amount at the rate of 20 p.c.p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14 p.c.p.a. Find the total amount invested.

(A) Rs. 20,000

(B) Rs. 22,000

(C) Rs. 24,000

(D) Rs. 48,000

Ans: A

Let the second amount be Rs. x.

Then, $$({12000 × 10 × 1} / {100}) + ({x × 20 × 1} / {100} )$$

= $$[{(12000 + x) × 14 × 1} / {100}]$$

⇔ 12000 + 20x = 168000 + 14x

⇔ 6x = 48000 ⇔ x = 8000.

∴ Total investment = Rs. (12000 + 8000) = Rs. 20000.

Question: 8

A sum of money amounts to Rs.5200 in 5 years and to Rs.5680 in 7 years at simple interest. The rate of interest per annum is

(A) 4%

(B) 5%

(C) 6%

(D) 7%

Ans: C

S.I. for 2 years = Rs. (5680 - 5200) = Rs. 480.

S.I. for 5 years = Rs. $$({480} / {2} × 5)$$ = Rs. 1200.

∴ Principal = Rs. (5200 – 1200) = Rs. 4000.

Hence, rate = $$({100 × 1200} / {4000 × 5})%$$ = 6%.

Question: 9

At what rate of simple interest per annum can an amount of Rs.1553.40 be obtained on the principal amount of Rs.8630 after 3 years?

(A) 4 p.c.p.a

(B) 5 p.c.p.a

(C) 6 p.c.p.a

(D) 7 p.c.p.a

Ans: C

P = Rs. 8630, S.I. = Rs. 1553.40, T = 3 years.

∴ Rate = $$({100 × 1553.40} / {8630 × 3})$$ = 6%.

Question: 10

Siva borrows Rs.520 from Arun a simple interest of 13% per annum. What amount of money should Siva pay to Arun after 6 months to be absolved of the dept?

(A) Rs. 453.80

(B) Rs. 552.80

(C) Rs. 553.80

(D) Rs. 563.10

Ans: C

P = Rs. 520, R = 13%, T = $${1} / {2}$$ years.

∴ S.I. = Rs. $$({520 × 13} / {100 × 2})$$ = Rs. 33.80.

Hence, amount after 6 months = Rs. (520 + 33.80) = Rs. 553.80.

Related Questions