Arithmetic — Practice

Question 1

A price is increased by 20% and then decreased by 10%. What is the net percentage change?

Accepted Answer

B

Question 2

An article costing ₹800 is sold at a profit of 15%. Find the selling price.

Accepted Answer

C

Question 3

A 180 m train crosses a pole in 12 seconds. Find its speed in km/h.

Accepted Answer

B

Question 4

Find the single discount equivalent to two successive discounts of 20% and 15%.

Accepted Answer

B

Question 5

Milk costing ₹20/litre is mixed with water (free) in the ratio 4:1. Find the cost price of one litre of the mixture.

Accepted Answer

A

Question 6

A can complete a job in 20 days, B in 30 days. They work together for 6 days, after which A leaves. In how many more days will B finish the remaining work alone?

Accepted Answer

C

Question 7

Two pipes can fill a tank in 6 hours and 8 hours respectively. A third pipe can empty the full tank in 12 hours. If all three are opened together, how long will the tank take to fill?

Accepted Answer

B

Question 8

A boat's downstream speed is 15 km/h and its upstream speed is 9 km/h. How long does it take to cover 30 km downstream?

Accepted Answer

B

Question 9

The difference between the compound interest and simple interest on a sum for 2 years at 10% per annum is ₹80. Find the sum.

Accepted Answer

C

Question 10

A trader sells an article at a stated profit of 10% on cost price, but uses a weight of 950 g for every claimed kilogram. Find the trader's actual profit percentage.

Accepted Answer

Let the true cost of 1 kg be ₹100. Selling price for a claimed kg = 100 × 1.10 = 110.

But the customer receives only 950 g, whose true cost is 100 × 0.95 = 95.

Actual profit = 110 - 95 = 15 on a true cost of 95, giving profit% = (15/95) × 100 ≈ 15.79%.

A claimed 10% margin is nearly 16% in reality once the false weight is accounted for.

Question 11

A and B start a business, A investing ₹6,000 and B investing ₹4,000, both for the full year. After 6 months, B withdraws half of his capital. Find the ratio of their profit shares at year-end.

Accepted Answer

A

Question 12

A journey is divided into three equal-distance legs, covered at 10 km/h, 20 km/h and 60 km/h respectively. Find the average speed for the entire journey.

Accepted Answer

C

Practice — Arithmetic

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