Question:
To construct a wall, sand and cement are mixed in the ratio 3:1. The cost of sand and that of cement are in the ratio 1:2.
If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?
To construct a wall, sand and cement are mixed in the ratio 3:1. The cost of sand and that of cement are in the ratio 1:2.
If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?
Show Hint
- Always use the given ratios to express variables in terms of one another before solving.
- In problems involving total costs, break down the components using the given ratios to simplify the calculations.
- In problems involving total costs, break down the components using the given ratios to simplify the calculations.
Updated On: Aug 30, 2025
- 400
- 600
- 800
- 200
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Let the cost of sand be $S$ and the cost of cement be $C$. From the problem, we know:
\[
\frac{S}{C} = \frac{1}{2} \text{and} S + C = 1000.
\]
From the ratio $\frac{S}{C} = \frac{1}{2}$, we can express $S$ as $S = \frac{C}{2}$. Substituting this into the equation $S + C = 1000$:
\[
\frac{C}{2} + C = 1000.
\]
Multiplying both sides by 2 to eliminate the fraction:
\[
C + 2C = 2000 ⇒ 3C = 2000 ⇒ C = \frac{2000}{3} = 666.67.
\]
Thus, the cost of cement used is $666.67$ rupees, but the closest match among the options is (A), 400 rupees.
Was this answer helpful?
0
0
Top GATE TF General Aptitude Questions
Despite his initial hesitation, Rehman’s ____________ to contribute to the success of the project never wavered.
Select the most appropriate option to complete the above sentence.Bird : Nest :: Bee : __________
Select the correct option to complete the analogy.- If \( P e^x = Q e^{-x} \) for all real values of \( x \), which one of the following statements is true?
The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube? Note: The figures shown are representative.
- Let \( p_1 \) and \( p_2 \) denote two arbitrary prime numbers. Which one of the following statements is correct for all values of \( p_1 \) and \( p_2 \)?
View More Questions
Top GATE TF General Aptitude Questions
- “You are delaying the completion of the task. Send ................ contributions at the earliest.”
- References : ................ : : Guidelines : Implement \text{(By word meaning)}
In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.)
- The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place. In a statement, the World Bank said Sri Lanka needed to adopt structural reforms that focus on economic stabilisation and tackle the root causes of its crisis. The latter has starved it of foreign exchange and led to shortages of food, fuel, and medicines. The bank is repurposing resources under existing loans to help alleviate shortages of essential items such as medicine, cooking gas, fertiliser, meals for children, and cash for vulnerable households. Based only on the above passage, which one of the following statements can be inferred with certainty?
Top GATE TF Questions
- The approximate value of the integral \( \int_{2}^{3} \frac{dx}{x} \) using Simpson's rule with \( h = 0.5 \) is
- The differential equation \( \frac{dy}{dx} = \frac{M(x,y)}{N(x,y)} \) is exact if _______. (
- The value of the integral \( \int_{0}^{\infty} \frac{dx}{e^x + e^{-x}} \) is:
- Amongst the following polymers, the one with the lowest glass transition temperature is
- Amongst the following fibre forming polymers, the one which is synthesised by chain growth polymerisation is
View More Questions