Question

At a fruit stall, 60% of the fruits are durians. 60% of the remaining fruits are mangoes

and the rest are watermelons. There are 112 watermelons. How many durians are there?

Answer 1

To determine the number of durians, we first find the number of remaining fruits. Then we use the percentage given to calculate the number of durians.

Step-by-step explanation:

To determine the number of durians, we need to work step by step. Let's start by representing the total number of fruits as 100%. Since 60% of the fruits are durians, the remaining 40% would be other fruits.

Next, we are told that 60% of the remaining fruits are mangoes, which means 40% of the remaining fruits are watermelons. If there are 112 watermelons, we can set up the following equation:

40% of remaining fruits = 112

40/100 × remaining fruits = 112

remaining fruits = 112 × 100 / 40 = 280

Finally, since 60% of the fruits are durians, we can find the number of durians:

60% of total fruits = durians

60/100 × 280 = 168 durians

Answer 2

if 60% of fruits are durians then there’s 40% that are not, right?
so if we have 60% of the REMAINING fruits that are mangos then we know that there will be 60% of 40%
of the total number that are mangos. this means that there will be 40% of 40% the total that are NOT mangos or durians.
the rest are watermelons and there are 112 watermelons so 40% of 40% is 16% of the total is 112.
since the durians are 60% of the total then there are 112 x 5 durians = 560