To find the selling price of the remaining barley, we need to calculate the total desired selling price to achieve a 15% profit on the whole quantity. Then, we will subtract the selling price of the first half (which was sold at a 20% profit) from the total desired selling price. The remaining amount will be the selling price of the second half.
Calculate the total cost price (CP) of the barley:
Given, the total cost price of the barley is ₹5,000.
Calculate the desired total selling price (SP) to achieve a 15% profit on the whole:
Desired profit percentage \(= 15\%\)
Desired total SP \(= \text{CP} + \text{Profit}\)
Desired total SP \(= \text{CP} \times (1 + \text{Profit Percentage})\)
\[ \text{Desired total SP} = 5000 \times \left(1 + \frac{15}{100}\right) \]\[ \text{Desired total SP} = 5000 \times \left(1 + 0.15\right) \]\[ \text{Desired total SP} = 5000 \times 1.15 \]\[ \text{Desired total SP} = \text{₹}5,750 \]Calculate the cost price of the first half of the barley:
Half of the total quantity means half of the total cost.
\[ \text{CP of first half} = \frac{5000}{2} = \text{₹}2,500 \]Calculate the selling price of the first half of the barley:
The first half is sold at a profit of 20%.
SP of first half \(= \text{CP of first half} \times (1 + \text{Profit Percentage})\)
\[ \text{SP of first half} = 2500 \times \left(1 + \frac{20}{100}\right) \]\[ \text{SP of first half} = 2500 \times \left(1 + 0.20\right) \]\[ \text{SP of first half} = 2500 \times 1.20 \]\[ \text{SP of first half} = \text{₹}3,000 \]Calculate the selling price of the remaining barley:
The selling price of the remaining barley is the desired total selling price minus the selling price of the first half.
SP of remaining barley \(= \text{Desired total SP} - \text{SP of first half}\)
\[ \text{SP of remaining barley} = 5750 - 3000 \]\[ \text{SP of remaining barley} = \text{₹}2,750 \]Therefore, the selling price of the remaining barley should be ₹2,750 to achieve an overall profit of 15%.
C) 2,750 is the correct selling price for the remaining barley.
The question asks to identify the Article in the Indian Constitution that guarantees 'Equality of opportunity in matters of public employment' as a Fundamental Right. This requires knowledge of the specific Fundamental Rights and the Articles associated with them.
Correct Option: B) Article 16 is the correct answer as it explicitly deals with equality of opportunity in matters of public employment. It states that there shall be equality of opportunity for all citizens in matters relating to employment or appointment to any office under the State.
If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘−’, and ‘÷’ means ‘+’, what will come in place of the question mark (?) in the following equation?
4 × 5 + 3 ÷ 16 − 1 =?
This problem involves substituting given symbol meanings into a mathematical expression and then evaluating the expression using the order of operations (BODMAS/PEMDAS).
The original equation is: \(4 \times 5 + 3 \div 16 - 1 = ?\)
Applying the substitutions:
So, the new equation becomes:
\[ 4 - 5 \times 3 + 16 \div 1 = ? \]BODMAS stands for Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
First, perform Division:
\[ 4 - 5 \times 3 + (16 \div 1) \]\[ 4 - 5 \times 3 + 16 \]Next, perform Multiplication:
\[ 4 - (5 \times 3) + 16 \]\[ 4 - 15 + 16 \]Finally, perform Addition and Subtraction from left to right:
\[ (4 - 15) + 16 \]\[ -11 + 16 \]\[ 5 \]D) 5 is the correct answer after applying the symbol substitutions and following the order of operations.
The question asks to identify the correct statements regarding image formation by spherical mirrors (convex and concave). We need to recall the properties of images formed by both types of mirrors for different object positions.
Correct Option: A) (b) and (d) are only correct
The question asks to identify the community in western Rajasthan, near the Thar desert, that holds the conservation of forest and wildlife as a religious tenet. This requires knowledge of specific communities in the region and their cultural or religious practices related to environmental conservation.
C) Bishnoi community — The Bishnoi community, primarily found in western Rajasthan, follows a set of 29 principles given by Guru Jambheshwar. These principles strictly prohibit harming trees and animals, making conservation a central part of their religious and daily life. They are renowned for their sacrifices to protect nature, most notably the Khejarli massacre where 363 Bishnois died protecting Khejri trees.
We need to determine the total number of people sitting in a straight line by arranging them based on the given clues. We will start with the most definitive clues and build the arrangement step-by-step.
DD _ _ _ ID _ _ _ I OD _ _ _ I O _D _ _ _ I O _. The gap between D and I has three people. The gap between I and O is zero (immediate left). The gap to the right of O has one person.D _ _ _ ID _ _ _ I OD _ _ _ I O _Position 1: D
Position 2: (Person 1 between D and I)
Position 3: (Person 2 between D and I)
Position 4: (Person 3 between D and I)
Position 5: I
Position 6: O (I is immediate left of O)
Position 7: (Person to the right of O)
Now, let's place K. There are two people between K and O. Since I is at position 5 and O is at position 6, K cannot be to the right of O. K must be to the left of O. Counting two people between K and O means K is at position 3 (if K is at 3, then 4 and 5 are between K and O). This contradicts the arrangement of D and I.
Let's re-read: "Only three people are sitting between D and I." and "There are only two people sitting between K and O."
Starting from D being extreme left:
D _ _ _ I (3 people between D and I)
D _ _ _ I O (I is immediate left of O)
D _ _ _ I O _ (1 person to the right of O)
Now, place K. Two people between K and O. O is at position 6. The people between K and O must be at positions 4 and 5. This means K must be at position 3.
Let's refine the arrangement:
1. D (Extreme left)
2. _ (1st person between D and I)
3. K (As K is at position 3, then 4 and 5 are between K and O)
4. _ (2nd person between D and I, and 1st person between K and O)
5. I (3rd person between D and I, and 2nd person between K and O)
6. O (Immediate right of I)
7. _ (1 person to the right of O)
So the final arrangement is: D _ K _ I O _
Let's verify all conditions:
Counting the total number of positions/people: 1 (D) + 1 (empty) + 1 (K) + 1 (empty) + 1 (I) + 1 (O) + 1 (empty) = 7 people.
Correct Option: D) 7
This question is based on a circular seating arrangement involving six teachers facing the centre. We need to arrange the teachers according to the given conditions and identify the person who is an immediate neighbour of both Ruhi and Sophie.
Since all teachers face the centre:
We can fix Sophie at any position because rotating a circular arrangement does not change the relative positions.
Ruhi sits second to the left of Sophie.
Therefore, count two positions clockwise from Sophie.
The partial clockwise arrangement becomes:
Sophie → Vacant → Ruhi → Vacant → Vacant → Vacant
Mary sits immediately to the left of Ruhi.
Since left means clockwise, Mary must sit immediately clockwise from Ruhi.
The arrangement becomes:
Sophie → Vacant → Ruhi → Mary → Vacant → Vacant
Gautam sits third to the right of Dinesh.
Since six teachers are sitting around the table, the third position to the right is directly opposite.
Therefore, Gautam and Dinesh must occupy opposite positions.
The remaining positions are 2, 5, and 6, counting Sophie as position 1.
Only positions 2 and 5 are opposite each other.
Therefore, Gautam and Dinesh must occupy positions 2 and 5.
Preeti is an immediate neighbour of both Sophie and Gautam.
If Gautam occupies position 2, the only common neighbouring position with Sophie would already be occupied or would not satisfy the condition.
Therefore, Gautam occupies position 5, and Dinesh occupies position 2.
Preeti occupies position 6, immediately between Gautam and Sophie.
The clockwise arrangement is:
Sophie → Dinesh → Ruhi → Mary → Gautam → Preeti
Returning to Sophie completes the circular arrangement.
All the given conditions are satisfied.
In the clockwise arrangement:
Sophie → Dinesh → Ruhi → Mary → Gautam → Preeti
The immediate neighbours of Sophie are Dinesh and Preeti.
The immediate neighbours of Ruhi are Dinesh and Mary.
Dinesh is the common immediate neighbour of Sophie and Ruhi.
Correct Option: C) Dinesh
Dinesh sits immediately between Sophie and Ruhi in the circular arrangement. Therefore, Dinesh is an immediate neighbour of both, making option C correct.
The question asks to identify the multinational company that ceased operations in India after the Janata Party government came to power, specifically due to non-compliance with the Foreign Exchange Regulation Act (FERA) which limited foreign ownership to 40%.
Correct Option: D) Coca-Cola — Coca-Cola famously exited India in 1977 due to its unwillingness to comply with the FERA mandate of reducing foreign equity to 40% and sharing its concentrate formula with an Indian partner. This move was a direct consequence of the Janata Party government's policies.
Three resistors of 12 ohm, 16 ohm and 48 ohm are connected in parallel. What is the net resistance?
\( \frac{1}{6} \) ohm
6 ohm
76 ohm
\( \frac{1}{76} \) ohm
To find the net resistance of resistors connected in parallel, we use the formula for equivalent resistance in a parallel circuit. This formula states that the reciprocal of the total resistance is equal to the sum of the reciprocals of individual resistances.
Correct Option: B) 6 ohm
To identify a saturated hydrocarbon, we need to understand the definition of saturated and unsaturated hydrocarbons. Saturated hydrocarbons contain only single bonds between carbon atoms, while unsaturated hydrocarbons contain at least one double or triple bond between carbon atoms.
Correct Option: C) Ethane