10. A person buys some apples and mangoes from the
market at a rate such that a mango is twice as costly as
an apple and he sells them such that a mango is thrice
the price of an apple. By selling an apple at twice of its
cost price, he makes 150% profit on the whole. Find
the ratio of mangoes to apples.
(a) 3:5
(b) 3:4
(c)1:2
(d) None of these
Answers
Answer:
1:2 is the answer .Hope it's help
Step-by-step explanation:
please mark as brainliest
Given,
The cost price of mangoes = 2(the cost price of apples)
The selling price of mangoes = 3(the selling price of apples)
SP of apples = 2(Cp of the apples)
Profit = 150%
To Find,
The ratio of mangoes to apples =?
Solution,
Let the number of mangoes be m and the number of apples be a.
Let the cost price of 1 apple be Rs. 1
Also, the selling price of 1 apple = 2 * 1 = Rs. 2
Then profit on 1 apple = 2 - 1 = Rs. 1
The cost price of mango = 2*1 = Rs. 2
The selling price of 1 mango = 3 * 2 = Rs. 6
The profit on 1 mango = 6 - 2 = Rs. 4
The total profit = Profit on mangoes and apple / Total cost
150% = (4m + a)/(2m +a)
150/100 = (4m + a)/(2m +a)
3 / 2 = (4m + a)/(2m +a)
By cross multiplying, we get
3*(2m + a) = 2*(4m + a)
6m + 3a = 8m + 2a
3a - 2a = 8m - 6m
a = 2m
m / a = 1 / 2
m:a = 1:2
Hence, the ratio of mangoes to apples is 1:2 .Option(c) is the correct answer.