Do the following
1. Find 20% of 500 km
2. A flower vase is bought for Rs.120 and sold for Rs.108. Find the profit or loss per cent.
3.A gardener wants to fence a circular garden of diameter 21m. Find the length of the rope he needs to purchase if he makes 2 rounds of the fence.
4. simplify - 2 X 3⁴X 2⁵
----------------
9 x 4²
Answers
SOLUTION
QUESTION 1:
To Find:
20% of 500 km
Finding 20% of 500 km:
= 20/100 × 200 km
= (20 × 200)/100 km
= 4000/100 km
= 40 km
∴ 20% of 500 km = 40 km
QUESTION 2:
Given that:
Cost price = Rs 120
Selling price = Rs 108
We know,
When cost price is greater than selling price then it's loss.
Loss = Cost price - Selling price
Loss = Rs (120 - 108)
Loss = Rs 12
We also know that,
Loss percent = (100 × Loss)/Cost price %
Loss percent = (100 × 12)/120 %
Loss percent = 10 %
∴ Loss percent on selling the flower base is 10%.
QUESTION 3:
Given that:
Diameter of a circular garden = 21 m
To Find:
The length of the rope he needs to purchase if he makes 2 rounds of the fence.
We know,
Circumference of a circle = π × Diameter
But gardener makes 2 rounds of the fence.
Length of rope = 2 × π × Diameter
Length of rope = 2 × 22/7 × 21 m
Length of rope = (2 × 22 × 21)/7 m
Length of rope = 132 m
∴ Gardener needs to purchase 132 m of rope.
QUESTION 4:
Simplify:-
(2 × 3⁴ × 2⁵) / (9 × 4²)
= (3⁴ × 2⁶) / (3 × 3 × 2² × 2²)
= (3⁴ × 2⁶) / (3² × 2⁴)
= (3² × 3² × 2⁴ × 2²) / (3² × 2⁴)
Cancelling (3² × 2⁴).
= 3² × 2²
= 9 × 4
= 36
∴ (2 × 3⁴ × 2⁵) / (9 × 4²) = 36
Answer:
1) To Find:
- 20% of 500 km
Finding 20% of 500 km:
= 20/100 × 200 km
= (20 × 200)/100 km
= 4000/100 km
= 40 km
∴ 20% of 500 km = 40 km
2) Given:
- Cost price = Rs 120
- Selling price = Rs 108
To find:
- Profit or loss%
We know,
When cost price is greater than selling price then it's loss.
Loss = Cost price - Selling price
Loss = Rs (120 - 108)
Loss = Rs 12
We also know that,
Loss percent = (100 × Loss)/Cost price %
Loss percent = (100 × 12)/120 %
Loss percent = 10 %
∴ Loss percent on selling the flower base is 10%.
3) Given:
- Diameter of a circular garden = 21 m
To Find:
- The length of the rope he needs to purchase if he makes 2 rounds of the fence.
We know that,
Circumference of a circle = π × Diameter
But gardener makes 2 rounds of the fence.
Length of rope = 2 × π × Diameter
Length of rope = 2 × 22/7 × 21 m
Length of rope = (2 × 22 × 21)/7 m
Length of rope = 132 m
∴ Gardener needs to purchase 132 m of rope.
4) 2×3⁴×2⁵/9×4²
2¹+⁵×3⁴/3²×(2²)²
2⁶×3⁴/3²×2⁴
2⁶-⁴×3⁴-²
2²×3²
4×9 = 36 (Ans)