Answer
Verified
420k+ views
Hint: First, find the true discount after one year using the formula: $TD=\dfrac{SP\times Rate\times Time}{100+\left( Rate\times Time \right)}$. Subtract this true discount from the selling price to find the present worth. In turn, subtract the cost price from this present worth to find the profit or loss which is the final answer.
Complete step-by-step answer:
In this question, we are given that a man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. The rate of interest is 10% per annum.
We need to find out how much the man gains or loses.
We see from the question that the Cost Price, CP is Rs. 1950.
The Selling Price, SP is Rs 2200.
We need to find the True Discount, TD after one year.
To find the True Discount, TD after one year, we will use the following formula:
$TD=\dfrac{SP\times Rate\times Time}{100+\left( Rate\times Time \right)}$
Using the above formula, we find the TD for our case:
$TD=\dfrac{2200\times 10\times 1}{100+\left( 10\times 1 \right)}=\dfrac{22000}{110}=200$
So, the total discount is Rs. 200.
We will now subtract this total discount from the selling price to find the present worth.
So, Present Worth = 2200 – 200 = Rs. 2000
Now, to find his gain or loss, we will subtract the cost price from this present worth.
So, Profit = 2000 – 1950 = 50
So, the man gains Rs. 50
Hence, option (b) is correct.
Note: In this question, it is very important to know that the formula for True Discount is $TD=\dfrac{SP\times Rate\times Time}{100+\left( Rate\times Time \right)}$. It is also important to know that we have to subtract the total discount from the selling price to find the present worth and that we have to subtract the cost price from the present worth to find the profit or loss.
Complete step-by-step answer:
In this question, we are given that a man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. The rate of interest is 10% per annum.
We need to find out how much the man gains or loses.
We see from the question that the Cost Price, CP is Rs. 1950.
The Selling Price, SP is Rs 2200.
We need to find the True Discount, TD after one year.
To find the True Discount, TD after one year, we will use the following formula:
$TD=\dfrac{SP\times Rate\times Time}{100+\left( Rate\times Time \right)}$
Using the above formula, we find the TD for our case:
$TD=\dfrac{2200\times 10\times 1}{100+\left( 10\times 1 \right)}=\dfrac{22000}{110}=200$
So, the total discount is Rs. 200.
We will now subtract this total discount from the selling price to find the present worth.
So, Present Worth = 2200 – 200 = Rs. 2000
Now, to find his gain or loss, we will subtract the cost price from this present worth.
So, Profit = 2000 – 1950 = 50
So, the man gains Rs. 50
Hence, option (b) is correct.
Note: In this question, it is very important to know that the formula for True Discount is $TD=\dfrac{SP\times Rate\times Time}{100+\left( Rate\times Time \right)}$. It is also important to know that we have to subtract the total discount from the selling price to find the present worth and that we have to subtract the cost price from the present worth to find the profit or loss.
Recently Updated Pages
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Trending doubts
State the differences between manure and fertilize class 8 biology CBSE
Why are xylem and phloem called complex tissues aBoth class 11 biology CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
What would happen if plasma membrane ruptures or breaks class 11 biology CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
What precautions do you take while observing the nucleus class 11 biology CBSE
What would happen to the life of a cell if there was class 11 biology CBSE
Change the following sentences into negative and interrogative class 10 english CBSE