To find the cost price of an item when the selling price and the percentage loss are given, we can use the formula relating cost price, selling price, and loss percentage. Alternatively, we can set up an equation where the cost price is the unknown variable and calculate the loss based on it.
Let the Cost Price (CP) of the item be \( \text{CP} \).
The Selling Price (SP) of the item is given as ₹ 280.
The loss percentage is 20%.
The formula for selling price when there is a loss is:
\[ \text{SP} = \text{CP} \times \left(1 - \frac{\text{Loss Percentage}}{100}\right) \]Substitute the given values into the formula:
\[ 280 = \text{CP} \times \left(1 - \frac{20}{100}\right) \]Simplify the term in the parenthesis:
\[ 280 = \text{CP} \times \left(1 - 0.20\right) \] \[ 280 = \text{CP} \times 0.80 \]Now, solve for CP:
\[ \text{CP} = \frac{280}{0.80} \] \[ \text{CP} = \frac{280}{\frac{80}{100}} \] \[ \text{CP} = \frac{280 \times 100}{80} \] \[ \text{CP} = \frac{28000}{80} \] \[ \text{CP} = \frac{2800}{8} \] \[ \text{CP} = 350 \]So, the cost price of the item was ₹ 350.
Correct Option: C) ₹ 350
The question asks to identify which of the given animals can change its sex. This phenomenon is known as sequential hermaphroditism, where an individual changes its sex at some point in its life.
B) Snail. Many species of snails are known to be hermaphroditic, and some exhibit sequential hermaphroditism, meaning they can change their sex during their lifetime. This makes them a correct answer for the question.
The question asks to identify which of the given ammonium compounds can undergo sublimation. Sublimation is a phase transition where a substance changes directly from a solid to a gas without passing through a liquid phase. This property is often observed in compounds that have relatively weak intermolecular forces or decompose upon heating to produce gaseous products that then recombine upon cooling.
The question asks to identify the city where Paul Revere, a prominent figure in the American Revolution, lived and died. It also mentions that his house is still located in this city. This is a historical fact-based question requiring knowledge of key figures and locations from American history.
Correct Option: B) Boston is the correct answer. Paul Revere was a silversmith and patriot who lived his entire life in Boston, Massachusetts. His historic home, the Paul Revere House, is located in the North End of Boston and is a popular museum.
To solve this problem, we need to determine the amount of work done by each person and then distribute the total earnings proportionally to the work done. First, we calculate the individual work rates. Then, we find out how much work B completes alone and how much work A and B complete together. Finally, we calculate the total work done by A and B and their respective shares of the earnings.
A can complete the work in 10 days. So, A's one day's work is:
\[ \text{A's work rate} = \frac{1}{10} \text{ part/day} \]B can complete the work in 15 days. So, B's one day's work is:
\[ \text{B's work rate} = \frac{1}{15} \text{ part/day} \]B starts the work and works alone for 5 days.
\[ \text{Work done by B in 5 days} = 5 \times \frac{1}{15} = \frac{5}{15} = \frac{1}{3} \text{ part} \]The remaining work is:
\[ \text{Remaining work} = 1 - \frac{1}{3} = \frac{2}{3} \text{ part} \]When A joins B, their combined one day's work is:
\[ \text{Combined work rate} = \frac{1}{10} + \frac{1}{15} = \frac{3+2}{30} = \frac{5}{30} = \frac{1}{6} \text{ part/day} \]Let \(t\) be the number of days A and B work together to complete the remaining \(\frac{2}{3}\) part of the work.
\[ t \times \frac{1}{6} = \frac{2}{3} \]\[ t = \frac{2}{3} \times 6 = 4 \text{ days} \]Check: Total work done by A and B = \[\frac{3}{5} + \frac{2}{5} = \frac{5}{5} = 1\] (complete work).
The total earning is ₹ 60. The earnings are distributed in the ratio of the work done by each person.
\[ \text{Ratio of work done by A : B} = \frac{2}{5} : \frac{3}{5} = 2 : 3 \]A) ₹ 24, ₹ 36 is the correct option. A's share is ₹ 24 and B's share is ₹ 36, which matches our calculations.
The problem presents a series of terms, each consisting of a letter and a number. We need to identify the pattern in both the letters and the numbers separately to find the next two terms in the series.
The given letters are J, L, N, P.
The pattern for the letters is that each subsequent letter is two positions ahead of the previous one in the alphabet (i.e., +2).
J (+2) = L
L (+2) = N
N (+2) = P
Following this pattern, the next letter after P would be:
\[ \text{P} + 2 \text{ positions} = \text{R} \]And the letter after R would be:
\[ \text{R} + 2 \text{ positions} = \text{T} \]The given numbers are 11, 13, 15, 17.
The pattern for the numbers is that each subsequent number is 2 greater than the previous one (i.e., +2).
11 + 2 = 13
13 + 2 = 15
15 + 2 = 17
Following this pattern, the next number after 17 would be:
\[ 17 + 2 = 19 \]And the number after 19 would be:
\[ 19 + 2 = 21 \]The next two terms in the series will be formed by combining the next letters and numbers found.
The first missing term is R-19.
The second missing term is T-21.
Correct Option: C) R-19, T-21
This is a question based on logical deduction. We are given a statement and two conclusions. We need to determine which conclusion(s) logically follow from the given statement. The key is to understand that transparency is a property that can be exhibited by multiple materials, not just one or two specific ones.
Correct Option: D) Neither I nor II follow
When electricity is passed through an aqueous solution of Sodium Chloride (brine), it decomposes to form:
NaOH + H2 + Cl2
NaOH + H2 + O2
NaOH + HCl + H2
NaOH + H2 + N2
The question describes the electrolysis of an aqueous solution of Sodium Chloride, also known as brine. This process is industrially significant and is called the chlor-alkali process. We need to identify the products formed during this decomposition.
A) NaOH + H\(_2\) + Cl\(_2\) — This option correctly lists Sodium Hydroxide, Hydrogen gas, and Chlorine gas as the products of the electrolysis of aqueous Sodium Chloride (brine).
The question asks to identify the company for which India-born Indra Nooyi served as CEO as of 2018. This requires knowledge of prominent business leaders and their affiliations.
Indra Nooyi served as the CEO of PepsiCo from 2006 to 2018. She stepped down as CEO in October 2018 and remained as chairman until early 2019.
D) PepsiCo - Indra Nooyi was the Chief Executive Officer of PepsiCo from 2006 until October 2018, making this the correct answer for the specified timeframe.
The question asks to identify the universal natural auxin of plants. Auxins are a class of plant hormones that play a crucial role in plant growth and development. We need to distinguish between natural auxins and synthetic auxins, and among natural auxins, identify the most common and universally occurring one.
D) IAA (Indole-3-acetic acid) is the most abundant and physiologically important natural auxin found in plants. It plays a central role in regulating various aspects of plant growth and development, including cell elongation, apical dominance, root initiation, and fruit development.