Explanation

C.P. (Cost Price) of each share = Rs. 25 + (2% of 25) = Rs. 25 + 0.50 = Rs. 25.50

And therefore, the Number of shares = Total amount / C.P. of each share = Rs. 12750 / Rs. 25.50 = 500

Explanation

Principal amount (P) = Rs. 800

Amount after 3 years (A) = Rs. 920

Interest earned (I) = A - P = 920 - 800 = Rs. 120

Rate of interest (R) = (I / P) x (100 / T) = (120 / 800) x (100 / 3) = 5%

New rate of interest (R') = 5% + 3% = 8%

New interest earned (I') = (P x R' x T) / 100 = (800 x 8 x 3) / 100 = Rs. 192

New amount (A') = P + I' = 800 + 192 = Rs. 992

So, if the interest rate is increased by 3%, the amount would be Rs. 992.

Explanation

Let the principal amount be P.

Let the original rate of interest be R%.

The interest earned at the original rate for 2 years is (P x R x 2)/100.

If the rate were 4% higher, the interest earned would be (P x (R+4) x 2)/100.

The difference in interest earned is Rs. 60, so we can set up the equation:

(P x (R+4) x 2)/100 - (P x R x 2)/100 = 60

Simplifying the equation:

2P(R+4) - 2PR = 6000

Expanding and simplifying:

8P = 6000

Dividing both sides by 8:

P = 750

So, the sum is Rs. 750.

Explanation

The formula for simple interest is:

Simple Interest (SI) = (Principal x Rate x Time) / 100

Rearrange the formula to solve for Rate (R):

R = (SI / Principal) x (100 / Time)

Plug in the values:

R = (70 / 150) x (100 / 10)

R = 0.4667 x 10

R = 14/3

R = 4.67 (approximately)

So, the rate of interest is approximately 4.67% or 14/3%.

Explanation

We can write this as:

(x/100) × 200 = (y/100) × 250

Simplifying the equation:

2x = 2.5y

Dividing both sides by 2:

x = 1.25y

Now, dividing both sides by y:

x/y = 1.25

x/y = 5/4

So, y:x = 4:5