Explanation

Let's find the cost price:

Selling price = Rs. 1425

Loss = 5%

Cost price = 1425 × 100 / 95

= 1425 × 20/19

= 1500

Last verified on 19-03-2026

Explanation

Let's find the number:

35% × x = 140

0.35x = 140

x = 140 / 0.35

x = 400

Now, 75% of 400:

= 0.75 × 400

= 300

Last verified on 19-03-2026

Explanation

Let's simplify:

(2x + 3) - (x + 2)

= 2x + 3 - x - 2

= x + 1

Last verified on 19-03-2026

Explanation

(3/4)² - (1/4)² / (1/2)

= 9/16 - (1/16) × 2

= 9/16 - 2/16

= 7/16 × 2/1 (since ÷ 1/2 = × 2)

= (9/16 - 1/16) × 2

= 8/16 × 2

= 1

Last verified on 18-03-2026

Explanation

Let's simplify:

4⁰⋅² × 16⁰⋅¹⁵

= (2²)⁰⋅² × (2⁴)⁰⋅¹⁵

= 2⁰⋅⁴ × 2⁰⋅⁶

= 2¹

= 2

Last verified on 19-03-2026

Explanation

tan 45° = 1

cot 45° = 1

tan² 45° + cot² 45°

= 1² + 1²

= 1 + 1

= 2

Last verified on 19-03-2026

Explanation

log₅ 125

= log₅ (5³)

= 3 log₅ 5

= 3 × 1

= 3

Last verified on 19-03-2026

Explanation

60% × 40

= 0.6 × 40

= 24

Last verified on 19-03-2026

Explanation

Let's find the multiples:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48...

Multiples of 8: 8, 16, 24, 32, 40, 48...

The smallest common multiple is 24, but it's not in the list.

The next common multiple is 48.

Last verified on 19-03-2026

Explanation

1/3 + 1/2 + 1/6

= (2 + 3 + 1)/6 (taking LCM)

= 6/6

= 1

Last verified on 19-03-2026