Explanation

Let the principal = ₹100

Rate = 20% per annum, compounded annually

Now calculate the amount over the years:

After 1 year: 100 × 1.20 = ₹120

After 2 years: 120 × 1.20 = ₹144

After 3 years: 144 × 1.20 = ₹172.80

After 4 years: 172.80 × 1.20 = ₹207.36

So, the amount just exceeds double (₹200) after 4 years.

Explanation

 A hydrophone is a microphone designed to be used underwater for recording or listening to underwater sound.

The hydrophones are based on a piezoelectric transducer.

Explanation

Year 1:

• Start: ₹12,500

• Interest: 20% of ₹12,500 = ₹2,500

• Amount due = ₹12,500 + ₹2,500 = ₹15,000

• After ₹2,000 payment: ₹15,000 - ₹2,000 = ₹13,000

Year 2:

• Start: ₹13,000

• Interest: 20% of ₹13,000 = ₹2,600

• Amount due = ₹13,000 + ₹2,600 = ₹15,600

• After ₹2,000 payment: ₹15,600 - ₹2,000 = ₹13,600

Year 3:

• Start: ₹13,600

• Interest: 20% of ₹13,600 = ₹2,720

• Amount due = ₹13,600 + ₹2,720 = ₹16,320

• After ₹2,000 payment: ₹16,320 - ₹2,000 = ₹14,320

Explanation

Meerut located: northeast of Delhi

Indian Rebellion of 1857 fought from: 10 May 1857 to 1 November 1858

Indian Rebellion of 1857 against: East India Company

Explanation

We use the formula for equal annual installments under compound interest:

Let the installment be Rs. x
Principal (P) = ₹2550
Rate (R) = 4% = 0.04
Time (T) = 2 years
Installments are paid at the end of each year.

Using the formula for compound installment repayment:

$$P = frac{x}{(1 + r)^1} + frac{x}{(1 + r)^2}$$

Substitute values:

$$2550 = frac{x}{1.04} + frac{x}{(1.04)^2}$$$$2550 = frac{x}{1.04} + frac{x}{1.0816}$$

Take LCM or solve directly:

$$2550=x(\frac{1}{1.04}+\frac{1}{1.0816})$$

$$2550 = x left(frac{1}{1.04} + frac{1}{1.0816} right)$$$$2550=x(0.9615+0.9246)=x(1.8861)$$

$$2550 = x (0.9615 + 0.9246) = x (1.8861)$$$$x = frac{2550}{1.8861} ≈ 1352$$

Explanation

If a sum becomes 3 times in x years, and you're using compound interest, then:

• In 2x years, it becomes $3\times 3=9$ time

• In 3x years, it becomes $3\times 3\times 3=27$ time

So, if the sum triples in 4 years, it becomes 27 times in $4\times 3=12$ years.

Explanation

We use the compound interest installment formula to find equal annual payments:

$$P = frac{x}{(1 + r)^1} + frac{x}{(1 + r)^2}$$

Where:

• $P=₹1025$ (debt)

• $r = 5$

• $x$ = annual payment

• Time = 2 years

Substitute values:

​ $$1025 = frac{x}{1.05} + frac{x}{1.1025}$$ $$1025 = x left( frac{1}{1.05} + frac{1}{1.1025} right) = x (0.9524 + 0.9070) = x (1.8594)$$
$$x = frac{1025}{1.8594} ≈ 551.25$$

Explanation

Explanation

Selim I  known as Selim the Resolute, was the Sultan of the Ottoman Empire from 1512 to 1520.

Explanation

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