Ajay and Vijay start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ajay takes out Rs.1250 from his capital. After 1 more month, Vijay takes out Rs.750 of his capital while Sanjay joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit?
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Let the two prime numbers be 3 and 5.
Multiples of 3 and 5 are as follows
3 ... 3, 6, 9, 12, 15, 18,....
5 ... 5, 10, 15, 20, ....
LCM(3, 5) = 15
Since 3 and 5 are prime numbers.
HCF(3, 5) = 1
LCM(3, 5) × HCF(3, 5) = 15 × 1 = 15 ... (ii)
3 × 5 = 15 ...(iii)
From (ii) and (iii), we can say that
The product of any two prime number is equal to the product of their HCF and LCM.
Step-by-step explanation:
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