Explanation

Arithmetic sequence formula:

• aₙ = nth term
• a₁ = first term
• n = term number
• d = common difference

Formula: aₙ = a₁ + (n - 1)d

Last verified on 09-02-2026

Explanation

Use the formula:

% decrease = (increase ÷ (100 + increase)) × 100

= (25 ÷ 125) × 100 = 20%

So, to keep the total expenditure the same, consumption must decrease by 20%.

Explanation

Given ratio: 50 paisa:1 rupee:2 rupee = 2:5:8

Let's assume the number of coins of each denomination are:

50 paisa = 2x

1 rupee = 5x

2 rupee = 8x

Total amount = Rs. 352

The value of coins is:

50 paisa coins = 2x * 0.50 = Rs. x

1 rupee coins = 5x * 1.00 = Rs. 5x

2 rupee coins = 8x * 2.00 = Rs. 16x

Adding these values, we get:

x + 5x + 16x = 352

Combine like terms:

22x = 352

Divide by 22:

x = 16

Now, find the total number of coins:

50 paisa coins = 2x = 2(16) = 32

1 rupee coins = 5x = 5(16) = 80

2 rupee coins = 8x = 8(16) = 128

Total number of coins = 32 + 80 + 128 = 240

So, the correct answer is: 240

Explanation

Let's find the purchase price (cost price):

Selling price = Rs 25,000

Loss percentage = 20%

Let the cost price be x.

Since Naeem suffered a 20% loss:

Selling price = Cost price - Loss

25,000 = x - 0.20x

25,000 = 0.80x

Divide both sides by 0.80:

x = 25,000 / 0.80

x = 31,250

Explanation

Given:

• Speed from A to B = 40 km/h

• Speed from B to A = 40 km/h + 50% of 40 km/h = 40 + 20 = 60 km/h

Find:

Average speed for the whole journey (both ways).

Formula for average speed when distance is the same but speeds differ:

Plug in values:

=4800/100

=48 km/h

Explanation

Explanation

That makes it 4 x 20 to get the total sum which is 80

80=5+10+15+x

80–30=x

50=x

Explanation

Given equation:

x² - 5x + 6 = 0

Factor the quadratic equation:

(x - 2)(x - 3) = 0

This gives us:

x - 2 = 0 or x - 3 = 0

x = 2 or x = 3

The roots of the equation are x = 2 and x = 3.

Explanation

Given A:B = 3:4 and B:C = 12:13.

First, make the ratios for B consistent:

A:B = 3:4 = 9:12 (multiplied by 3)

Now, B:C = 12:13

A:B:C = 9:12:13

A:C = 9:13

Explanation

Given the ratio of men to women is 3:5:

Step 1: Calculate the total parts in the ratio

Total parts = 3 + 5 = 8

Step 2: Determine the value of one part

Total people = 24

One part = 24 / 8 = 3

Step 3: Calculate the number of women

Number of women = 5 parts * 3

= 5 * 3

= 15