Answer

Verified

336.7k+ views

Hint: We need to have basic understanding on Percentages concepts, Cost price, selling price, profit and loss concept to solve this problem.

Given that Purchase cost of 200kg rice = $200 \times 25 = $Rs. 5000

Selling price of 80 kg rice at 10% gain is

$ \Rightarrow $110% of price

$ \Rightarrow \dfrac{{110}}{{100}} \times Rs.25$

So money earned by selling 80 kg rice.

$ = 80 \times \dfrac{{110}}{{100}} \times 25 = Rs.2,200$

Selling price of 40 kg rice at a loss of 4%$ \Rightarrow 96$% of price

$ \Rightarrow \dfrac{{96}}{{100}} \times Rs.25$

Money earned by selling 40 kg $\dfrac{{96}}{{100}} \times 25 = Rs.960$

Remaining quantity = 200 - 40 - 80 = 80kg

Total gain required = 8%

$ \Rightarrow $Overall money to be earned thru sales $ = \dfrac{{108}}{{100}} \times $cost = $\dfrac{{108}}{{100}} \times 5000 = Rs.5,400$

[Cost = total money he invested in buying 200 kg of rice at Rs.25/kg]

Money to be earned through sale of remaining 80 kg $ = Rs.5400 - Rs2200 - Rs.960 = Rs2240$

Selling price of the remainder rice $ = \dfrac{{2240}}{{80}} = Rs.28/kg$

Note: While solving these kinds of problems we need to clearly understand the given problem and we have to focus on what we have to find and think about how we can find that.

Selling price (S.P.) = Cost price (C.P.) + Profit (or) Cost price – Loss

Gain % $ = \dfrac{{Gain}}{{C.P.}}$ and Loss %$ = \dfrac{{Loss}}{{C.P.}}$

Given that Purchase cost of 200kg rice = $200 \times 25 = $Rs. 5000

Selling price of 80 kg rice at 10% gain is

$ \Rightarrow $110% of price

$ \Rightarrow \dfrac{{110}}{{100}} \times Rs.25$

So money earned by selling 80 kg rice.

$ = 80 \times \dfrac{{110}}{{100}} \times 25 = Rs.2,200$

Selling price of 40 kg rice at a loss of 4%$ \Rightarrow 96$% of price

$ \Rightarrow \dfrac{{96}}{{100}} \times Rs.25$

Money earned by selling 40 kg $\dfrac{{96}}{{100}} \times 25 = Rs.960$

Remaining quantity = 200 - 40 - 80 = 80kg

Total gain required = 8%

$ \Rightarrow $Overall money to be earned thru sales $ = \dfrac{{108}}{{100}} \times $cost = $\dfrac{{108}}{{100}} \times 5000 = Rs.5,400$

[Cost = total money he invested in buying 200 kg of rice at Rs.25/kg]

Money to be earned through sale of remaining 80 kg $ = Rs.5400 - Rs2200 - Rs.960 = Rs2240$

Selling price of the remainder rice $ = \dfrac{{2240}}{{80}} = Rs.28/kg$

Note: While solving these kinds of problems we need to clearly understand the given problem and we have to focus on what we have to find and think about how we can find that.

Selling price (S.P.) = Cost price (C.P.) + Profit (or) Cost price – Loss

Gain % $ = \dfrac{{Gain}}{{C.P.}}$ and Loss %$ = \dfrac{{Loss}}{{C.P.}}$

Recently Updated Pages

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

Find the values of other five trigonometric functions class 10 maths CBSE

Trending doubts

What is BLO What is the full form of BLO class 8 social science CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

What organs are located on the left side of your body class 11 biology CBSE

What is pollution? How many types of pollution? Define it