Explanation

Let CP be the cost price.

Selling price = Rs. 2160

Profit % = 8%

SP = CP + 0.08CP

2160 = 1.08CP

CP = 2160 / 1.08

CP = 2000

Last verified on 18-03-2026

Explanation

Let's find the number first:

25% of x = 150

0.25x = 150

x = 150 / 0.25

x = 600

Now, 65% of 600:

0.65 × 600 = 390

Last verified on 18-03-2026

Explanation

(3y + 5) + (2y - 4)

= 3y + 5 + 2y - 4

= 5y + 1

Last verified on 18-03-2026

Explanation

9⁰⋅²⁶ × 81⁰⋅¹²

= (3²)⁰⋅²⁶ × (3⁴)⁰⋅¹²

= 3⁰⋅⁵² × 3⁰⋅⁴⁸

= 3¹

= 3

Last verified on 18-03-2026

Explanation

sec 45° = √2

sec² 45° = (√2)² = 2

1 - sec² 45° = 1 - 2 = -1

Last verified on 18-03-2026

Explanation

2⁶ = 64

∴ log₂(64) = 6

Last verified on 18-03-2026

Explanation

60% of 75 = (60/100) × 75

= 0.6 × 75 = 45

Last verified on 18-03-2026

Explanation

Multiples of 10: 10, 20, 30, 40, 50, 60...

Multiples of 12: 12, 24, 36, 48, 60...

Smallest common multiple: 60

Last verified on 18-03-2026

Explanation

1 - 1/3 - 1/6

= 6/6 - 2/6 - 1/6

= 3/6

= 1/2

Last verified on 18-03-2026

Explanation

y/(y+3) = 2/3

3y = 2(y+3)

3y = 2y + 6

y = 6

Last verified on 18-03-2026