The price of 8080 apples is equal to that of 120120 oranges. The price of 6060 apples and 7575
oranges together is Rs. 1320. The total price of 2525 apples and 4040 oranges is
Answers
cost of 6060 apples =Rs 7575
cost of 1 kg apples= Rs 7575/6060
rest amount of apples=8080-6060=2020kg
cost of 2020kg of apples =Rs 7575/6060×2020
Solution 1
Let price of one apple = a
Price of one orange = b
Price of 80 apples = Price of 120 oranges⇒
80a = 120b
⇒2a = 3b
⇒b = 2a / 3 -------- (1)
Price of 60 apples + Price of 75 oranges = Rs. 1320
⇒60a + 75b = 1320
⇒4a + 5b = 88
⇒4a + 5 (2a)3 = 88 [∵ substituted value of b from (1)]
⇒12a + 10a = 88 × 3
⇒6a + 5a = 44 × 3
⇒11a = 44 × 3
⇒a = 4 × 3 = 12
b = 2a/3 = 2 × 12/3 = 8
Total price of 25 apples and 40 oranges
= 25a + 40b
= 25 × 12 + 40 × 8
= 300 + 320 = 620
Solution 2
80 apples ≡ 120 oranges
⇒2 apples ≡ 3 oranges
⇒60 apples ≡ 90 oranges
60 apples + 75 oranges = 1320
⇒90 oranges + 75 oranges = 1320
⇒165 oranges = 1320
⇒1 orange = 8
1 apple = 3 × 8/2 = 12
25 apples + 40 oranges
= 25 × 12 + 40 × 8 = 620