A trader bought x mangoes at the rate of 4 mangoes for 10 naira five of the mangoes were bad so he sold the remaining at the rate of 5 mangoes for 20 naira and he made a gain of 10 naira how many mangoes did he buy ?

Answers

no because mercury has a density of 13.6 grams per centimeter squared while gold has 19.32 grams centimeter squared

step-by-step explanation:

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation:

20 mangoes.

Step-by-step explanation:

Given:

Total  number of mangoes, a trader bought = x

A trader bought at the rate of 4 mangoes for 10 naira.

Five of the mangoes were bad.

He sold the remaining at the rate of 5 mangoes for 20 naira.

He made a gain of 10 naira

Question asked:

Total  number of mangoes, a trader bought = x = ?

Solution:

Unitary method

Cost price of  4 mangoes =  10 naira.

Cost price of  1 mango = \frac{10}{4}

Cost price of x mango = \frac{10}{4}\times x= \frac{5}{2} x

As 5 of the mangoes were bad and he sold the remaining mangoes, then Total number of mangoes sold =  x-5

Sale price of 5 mangoes = 20 naira

Sale price of 1 mango = \frac{20}{5}

Sale price x-5 of mango = \frac{20}{5}\times(x-5)=4(x-5)=4x-20

Now, as we know,

Gain = Sale price - cost price

10 = 4x-20 -\frac{5}{2} x\\ 10=4x-\frac{5}{2} x-20\\10=\frac{8x-5x}{2} -20

10 =\frac{3x}{2} -20

Adding both sides by 20

30=\frac{3x}{2}

Multiplying both sides by 2

60 = 3x

Dividing both sides by 3

x=20

Therefore, total number of mangoes, a trader bought is 20.



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