Explanation

1. One-third of the goods are sold at a 10% profit, so the profit from this portion is:

(1/3) x 10% = 3.33%

2. Another one-third of the goods are sold at a 20% profit, so the profit from this portion is:

(1/3) x 20% = 6.67%

3. The rest (1/3) of the goods are sold at a 6% loss, so the loss from this portion is:

(1/3) x (-6%) = -2%

4. Add up the profits and losses to find the overall profit percentage:

3.33% + 6.67% - 2% = 8%

So, the shopkeeper's overall profit percentage is 8%.

Explanation

Ctrl+Shift+Left Arrow is the shortcut key to extend the current selection by one word to the left.

This combination highlights the text word by word in that direction.

Explanation

1. 3/4 of the students do not know either Hindi or English.

This means that 1 - 3/4 = 1/4 of the students know either Hindi or English or both.

2. 1/6 of the students know English.

3. 1/8 of the students know Hindi.

Now, let's use the principle of inclusion-exclusion:

Number of students who know either Hindi or English or both = Number of students who know English + Number of students who know Hindi - Number of students who know both

We know that 1/4 of the students know either Hindi or English or both. We also know the number of students who know English (1/6) and the number of students who know Hindi (1/8).

Let x be the number of students who know both English and Hindi.

Then, we can set up the equation:

1/4 = 1/6 + 1/8 - x

Combine like terms:

1/4 = 7/24 - x

Add x to both sides:

x = 7/24 - 1/4

x = 7/24 - 6/24

x = 1/24

So, 1/24 of the students know both English and Hindi.

Explanation

• The USA is the largest producer of shale gas, leading globally with advanced extraction technologies.
• In 2020, Chevron, a major U.S. company, produced an average of 387,000 barrels of shale oil per day.

Explanation

The sentence should read, "You had already left by seven o'clock, hadn't you?"

It uses the past perfect tense and its negative form in the question tag.

Explanation

The phrase "a donkey’s year" refers to a very long time.

It indicating that it has been a significant period since the last meeting.

Explanation

The phrase "While the grass grows, the steed starves".

It is a proverbial expression that means "to delay or hesitate can lead to loss or disadvantage."

Explanation

Maulana Muhammad Ali Jauhar studied at Aligarh Muslim University (AMU).

It was originally known as Muhammadan Anglo-Oriental College.

It was founded by Sir Syed Ahmad Khan in 1875 and became AMU in 1920.

Explanation

A bend of a river or curved path of a river is the meaning of "meander."

It refers to the winding curves or turns of a river as it flows through the landscape.

Explanation

• When light travels from a denser to a rarer medium, it bends away from the normal due to refraction.
• The production of an image by or as if by a mirror is called reflection.