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Question

Answer

(a)
apples : pears : total
3 : 1 : 4  (at first)
9  units : 4 units : 13 units (left)

100% – 35% = 65% ——-> 13 units
100% ——-> 20 units

apples : pears : total
15 units : 5 units : 20 units (at first)

15 – 9 = 6 (apples sold)
5 – 4 = 1 (pears sold)

number of apples sold : number of pears sold
6 : 1

(b)
6 – 1 = 5
225/5 = 45
45 x 9 = 405
405/3 = 135

Ans : (a) 6 : 1; (b) 135 bags.

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Let the total number of fruits at first be 100u

Apples : Pears = 3 : 1 = 75u : 25u

After selling 35% of the fruits, he had (100u – 35u) = 65u left

Apples : Pears = 9 : 4 = 45u : 20u

Apples sold -> 75u – 45u = 30u

Pears sold -> 25u – 20u = 5u

(30u – 5u) = 225

25u = 225

1u = 9

Apples sold -> 30u = 270

Pears sold -> 5u = 45

(a) Apples sold : Pears sold = 270 : 45 = 6 : 1

(b) Apples left -> 45u = 405

405 ÷ 3 = 135

He had 135 bags of apples

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