54
Q:

# A father left a will of Rs.35 lakhs between his two daughters aged 8.5 and 16 such that they may get equal amounts when each of them reach the age of 21 years. The original amount of Rs.35 lakhs has been instructed to be invested at 10% p.a. simple interest. How much did the elder daughter get at the time of the will?

 A) 17.5 lakhs B) 21 lakhs C) 15 lakhs D) 20 lakhs

Answer:   B) 21 lakhs

Explanation:

Let Rs.x be the amount that the elder daughter got at the time of the will. Therefore, the younger daughter got (3,500,000 - x).

The elder daughter’s money earns interest for (21 - 16) = 5 years @ 10% p.a simple interest.

The younger daughter’s money earns interest for (21 - 8.5) = 12.5 years @ 10% p.a simple interest.

As the sum of money that each of the daughters get when they are 21 is the same,

$x+5*10*x100=3,500,000-x+12.5*10*3,500,000-x100$

$x+50x=3,500,000-x+125100*3,500,000-125x100$

$2x+50x100+125x100=3,500,000*1+54$

$200x+50x+125x100=94*3,500,000$

=>

Q:

The rate of simple interest on a sum of money is 5% p.a. for the first 4 years, 8% p.a. for the next 3 years and 10% p.a. for the period beyond 7 years. If the simple interest accrued by the sum over a period of 10 years is ₹1,850, then the sum is:

 A) ₹2,750 B) ₹1,650 C) ₹2,500 D) ₹1,500

Explanation:

2 241
Q:

$45-15$

 A) 25 B) C) D)

Explanation:

0 140
Q:

When two equal amounts are deposited for 5 years and 3 years at the rate of 7% and 9% per annum respectively, and the difference of their simple interest is Rs 475. Then find the deposited amount.

 A) Rs. 5,937.5 B) Rs. 5,992.5 C) Rs. 5,837.5 D) Rs. 6,037.5

Answer & Explanation Answer: A) Rs. 5,937.5

Explanation:

0 185
Q:

A certain sum of money becomes double of itself in 5 years at a rate of simple interest. In how many years will it become 16 times of itself at the same rate of simple interest?

 A) 20 B) 60 C) 75 D) No option is correct

Explanation:

1 165
Q:

The simple interest on a sum of money for 3 years at an interest rate of 6% p.a. is Rs.6,750. What will be the compound interest rounded off on the same sum at the same rate for the same period, compounded annually is closest to :

 A) Rs. 7,133 B) Rs. 7,163 C) Rs. 7,103 D) Rs. 7,663

Answer & Explanation Answer: B) Rs. 7,163

Explanation:

1 162
Q:

The simple interest on a sum of money is 9/49 of the principal. The number of years are equal to the rate of interest per annum. What is the rate (in percentage) of interest
per annum?

 A) 36/7 B) 27/7 C) 15/7 D) 30/7

Explanation:

0 172
Q:

Consider the following question and decide which of the statements is sufficient to answer the question.

The simple interest on a sum of money is Rs. 100. What is the sum?

Statements:

I. The interest rate is 20% per annum.

II. The sum earned simple interest in 5 years.

 A) Both statements I and II are sufficient B) Only statement I is sufficient C) Only statement II is sufficient D) Either statement I or II is sufficient

Answer & Explanation Answer: A) Both statements I and II are sufficient

Explanation:

1 202
Q:

At 8% simple interest per annum a sum of money becomes Rs.608 in 3.5 years. What was the sum invested?

 A) Rs.440 B) Rs.475 C) Rs.450 D) Rs.460