Given:

the winner secured 85% of the total votes cast and wins by a majority of 5600 votes

Calculation:

let 100% be the total votes cast

the winner secured 85% of the total votes cast,

Winning Candidate = 85%

Losing Candidate = 15%

Winning Candidate wins by a majority of 5600 votes,

Winning Candidate - Losing Candidate = 5600

85% - 15% = 5600

70% = 5600

1% = 80

Losing Candidate got 15%

15% = 15 × 80

= 1200 votes

Answer is 1200.

Given:

Initial weight = 80kg, Final weight = 72kg

Concept:

Percentage decrease = (Initial - Final) / Initial × 100%

Calculation:

⇒ (80-72)/80 × 100% = 10%

Therefore, the person's percent weight loss is 10%.

Given:

Length, breadth and height of a rectangular room are given as 12 m, 6 m and 4 m respectively.

The room has two doors of size 2 m × 1 m.

The room has two windows of size 1.5 m × 1 m.

Rate of paint = 15 Rupees per meter

Calculation:

Area of walls = 2 h(l + b), where l = length, b = breadth and h = height

Area of walls = 2 × 4(12 + 6)

Area of walls = 144 m²
So, area of walls including doors and windows = 144 m²

Area of  door = l × b = 2 × 1 = 2 m² 

Area of two doors= 2 × area of one door = 2 × 2 = 4 m²

Area of window = l × b = 1.5 × 1 = 1.5 m²

Area of two windows = 2 × area of one window = 2 × 1.5 = 3 m²

So, area of walls excluding the two doors and two windows=

144 - 4 - 3 = 137 m²

Cost of painting the four walls = 137 × 15 = 2055 m²

Hence, option 4 is correct.

Given:

Time = 8 years

Interest rate = 18% p.a.

Amount received after 8 years = Rs 1,220

Concept Used:

Simple Interest = P × R × T / 100

Calculation:

Let the sum of money invested be Rs x.

SI = x × 18 × 8 / 100 = 36x / 25

According to the question,

⇒ x + 36x / 25 = 1220

⇒ 25x + 36x = 1220 × 25

⇒ 61x = 30,500

⇒ x = 30500 ÷ 61 = 500

Therefore, the sum of money invested is Rs 500.

Given:

An article costs ₹750. It is marked up to give 30% profit.

Concept used:

Selling price = Marked price × (100 - Discount)%

Calculation:

Marked up price = 750 × 130%

⇒ 975

Now after discount the selling price of 975 × 85%

⇒ 828.75

∴ The selling price if a customer gets a discount of 15% on it will be ₹828.75.

Given:

Distance between the thief and the police officer = 800 m

Speed of the police officer = 8 km/h = 8000 m/h

Speed of the thief = 7 km/h = 7000 m/h

Solution:

⇒ Relative speed of the police officer with respect to the thief = 8000 - 7000 = 1000 m/h

⇒ Time required to catch up with the thief = Distance/Relative speed = 800/(1000/3600) = 2880 seconds = 0.8 hours

⇒ Distance covered by the police officer = Speed × Time = 8000 × 0.8 = 6400 m

Hence, the police officer has to run 6400 m to catch up with the thief.

Given,

Speed downstream = 16km/hr

Speed upstream = 12km/hr

Formula used:

Speed of the current = ½ × (speed downstream - speed upstream)

Calculation:

Speed of the current = ½ × (16 - 12) = 4/2 = 2

∴ Speed of the current is 2km/hr.

Calculation:

Now, the economy rate of the bowler for all 6 matches taken together

⇒ 6.10 (approx)

∴ The economy rate of the bowler for all 6 matches taken together is 6.10.

Selling Price = 180, Cost Price = 160

Profit = SP - CP

⇒ 180 - 160 = 20

Profit % = Profit/CP × 100

⇒ (20/160)× 100 = 12.5%

Given:

SP = 30,875

Loss = 5%

Formula Used:

SP = CP(100 - loss)/100

SP = CP(100 + profit)/100

Calculation:

Find the CP at 5% Loss

⇒ 30875 = CP(100 - 5)/100

⇒ CP = (30875 × 100)/95

⇒ CP = 32500

Find the SP at 7% Gain

⇒ SP = 32500(100 + 7)/100

⇒ SP = 325 × 107

⇒ SP = 34775

∴ Option 4 is the correct answer.