Mr. Singh purchased 40,000 apples at Rs.7 each. He found that 30% of those were spoilt and hence were found unfit to be sold. At what price should he sell each of the remaining apples so as to get an overall profit of 25%?
Answers
Answer:-
Given:
▪︎ Total number of apples purchased = 40,000
▪︎Cost Price of each apple = Rs.7
▪︎Percentage of spoilt apples = 30%
To Find:
▪︎S.P. of each apples to get overall profit 25%
Solution:
➥Number of fresh apples
= 40,000 30 % of 40,000
= 40,000 - 12,000
= 28,000
➥Cost price of all apples
= 40,000 × 7
= 2,80,000
➥Percentage of profit to be made = 25%
➥Selling price of fresh apples with profit of 25%
= [(100 + profit%) × CP] ÷ 100
= [(100 + 25%) × 280000] ÷ 100
= [125 × 280000] ÷ 100
= 35,000,000 ÷ 100
= Rs.3,50,000
➥Selling price of each apple
= 3,50,000 ÷ 28,000
= Rs.12.5
Hence, S.P. of each apples is Rs.12.5
Formula to be remembered:-
▪︎Profit = S.P. - C.P.
▪︎Loss = C.P. - S.P.
▪︎Profit % = (Profit ÷ C.P.) × 100%
▪︎Loss % = (Loss ÷ C.P.) × 100%
▪︎ S.P. = [(100 + profit%) × CP] ÷ 100
▪︎S.P. = [(100 - loss%) × CP] ÷ 100
▪︎C.P. = (S.P. × 100) ÷ (100 + Profit%)
▪︎C.P. = (S.P. × 100) ÷ (100 - Loss%)
Given:- C.P = 40,000 apples × ₹7 = ₹2,80,000
30% of apples are spoilt so the remaining apples = 40,000 - 40,000 ×
= 40,000 - 12,000
= 28,000 apples
Mr. Singh have to sell remaining apples at 25% profit.
so, we use formula
⇒ ×
⇒ S.P = × ₹2,80,000
⇒ S.P = × ₹2,80,000
⇒ S.P = × ₹2,80,000
⇒ S.P = ₹3,50,000
Hence, Mr. Singh will sell the remaining apples at ₹3,50,000 for an overall profit of 25%.
and, Selling Price of each apples = ₹3,50,000 ÷ 28,000
= ₹12.5
Some Important Formula:-
▪︎Profit = S.P. - C.P.
▪︎Loss = C.P. - S.P.
▪︎Profit % = (Profit ÷ C.P.) × 100%
▪︎Loss % = (Loss ÷ C.P.) × 100%
▪︎C.P. = (S.P. × 100) ÷ (100 + Profit%)
▪︎C.P. = (S.P. × 100) ÷ (100 - Loss%)
▪︎ S.P. = [(100 + profit%) × CP] ÷ 100
▪︎S.P. = [(100 - loss%) × CP] ÷ 100