Explanation

100x​×60=48
x×0.6=48
x=48/0.6​

$$x=80$$

Explanation

Let's break this down step by step:

1. Let the man's monthly income be x.
2. He spends Rs. 3500 per month, which means his savings are x - 3500.
3. He saves 12 ½% of his income, which can be written as a decimal: 0.125x.
4. Since his savings are equal to his income minus his expenses, we can set up the equation: 0.125x = x - 3500.
5. Simplify the equation: 0.125x = x - 3500 --> 0.125x - x = -3500 --> -0.875x = -3500.
6. Divide both sides by -0.875: x = 3500 / 0.875 --> x = 4000.

So, the man's monthly income is Rs. 4000.

Explanation

 288 years is the correct answer.

Sol 72×4 = 288

Explanation

Let’s say you originally have $100, and the original price per unit is $1. You can buy:

Before price drop: $100 ÷ $1 = 100 units

A 60% price decrease means the new price is:

New price = $1 - 60% of $1 = $0.40

After price drop: $100 ÷ $0.40 = 250 units

So, the increase in quantity is:

250 - 100 = 150 units more, which is a 150% increase.

Explanation

Let the original number be x

Correct result: x ÷ 3

Wrong result: x × 3

Now, compare:

Increase = (x×3 − x/3) = (9x − x)/3 = 8x/3

% Increase = (8x/3) ÷ (x/3) × 100 = 800%

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

percentage of 14 of 24 is 58%

...

Explanation:

1. 4 of 24 can be written as:
   1424
2. To find a percentage, we need to find an equivalent fraction with the denominator 100. Multiply both numerator & denominator by 100
   
   1424 × 100100
3. = (14 × 10024) × 1100 = 58.33100
4. Therefore, the answer is 58.33%

   If you are using a calculator,

   simply enter 14÷24×100 which will give you 58.33 as the answer.

Explanation

Given:

Initial value = 80

Final value = 80

Percentage increase = ((Final - Initial) / Initial) × 100

= ((80 - 80) / 80) × 100

= (0 / 80) × 100

= 0%

Explanation

Profit = Selling price - Cost price = 600 - 400 = 200
Profit percentage = $\frac{\mathrm{<font\; color="\#0000ff">200</font>}}{\mathrm{<font\; color="\#0000ff">400</font>}}<font\; color="\#0000ff">\times </font>\mathrm{<font\; color="\#0000ff">100</font>}<font\; color="\#0000ff">=</font>\mathrm{<font\; color="\#0000ff"><span\; style="background-color:\; rgb(255,\; 255,\; 0);">50</span></font>}\mathrm{<font\; color="\#0000ff"><span\; style="background-color:\; rgb(255,\; 255,\; 0);">\%</span></font><span\; class="base"\; style="font-family:\; Overpass,\; sans-serif;\; font-size:\; 0.875rem;"><br></span>}$

Explanation

Let income be $x$.
10% of $x$ = 1500
10/10​0×x=1500
$x=\frac{1500\times 100}{10}<br>$

​=15000