Explanation

math

ND18-4-2023

Explanation

3 percent *20000

= (3/100)*20000

= (3*20000)/100

= 60000/100 = 600

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ND27-12-2022

Explanation

1. The bill is discounted at 10% per annum.
2. Banker's discount (BD) is allowed, which means the interest is deducted from the face value of the bill.
3. To avoid any loss, the proceeds should be invested at a rate that earns the same interest as the discount.

Mathematically:

BD = (BG × 100) / (100 - BG)

where BG is the banker's gain.

Since the discount rate is 10%:

BG = 10

Now, solve for BD:

BD = (10 × 100) / (100 - 10)

= 1000 / 90

= 100/9

The banker's discount is 100/9, which means the proceeds should be invested at:

(100/9) × (1/10) × 100 = 11 1/9%

Explanation

9000 + 16 2/3% of x = 10500

By converting the percentage to a fraction:

50/3 % = 50/(3*100) = 1/6

So, the equation becomes:

9000 + (1/6)x = 10500

Subtracting 9000 from both sides:

(1/6)x = 1500

Multiplying both sides by 6:

x = 1500*6

x = 9000

Explanation

% given away is 35 so he has 65 percent of his cards.

65 % of the total is 520 and representing that mathematically

(65/100) x a = 520

a = 520. 100/65

a = 8 x 100

a = 800

The total number of cards originally is 800

Explanation

1.44 kg = 1440 grams.

$$text{Percentage} = left( frac{72}{1440} right) times 100 = 5$$

Explanation

Since the shop sells the pair of shoes for Rs. 800 after a 20% discount, that means the discount amount is 20% of the original price.

Discount amount = 20% of x = 0.20x

The selling price (Rs. 800) is the original price minus the discount amount:

800 = x - 0.20x

Simplify the equation:

800 = 0.80x

Divide both sides by 0.80:

x = 800 / 0.80

x = 1000

So, the original price for the pair of shoes was:

Rs. 1000

The correct answer is: Rs. 1000

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

True Discount (TD) = Rs. 122

Principal (P) = Rs. 2562

Time (T) = 4 months = 1/3 year

Using the formula:

TD = (P x R x T) / 100

where R is the rate percent, we can rearrange the formula to solve for R:

R = (TD x 100) / (P x T)

= (122 x 100) / (2562 x 1/3)

= 15%

So, the rate percent is 15%.

Explanation

To find the sale price, calculate 20% of the original price and subtract that amount from the original price:

Original price = 1500

Discount = 20% of 1500 = 0.20 x 1500 = 300

Subtract the discount from the original price:

Sale price = 1500 - 300 = 1200