ture 2
21.) A vessel is completely filled with milk. 27
litres of milk is taken out and replaced by
water. Again 15 ltr of mixture is taken out
and vessel is filled with water again. Now
concentration of milk in the mixture
becomes 71.11%. What is the capacity of
container?
एक बर्तन में दूध भरा है।27 ली दूध निकालकर
उतना ही पानी मिलाया गया।अब मिश्रण में से 15
ली निकालकर उतना ही पानी मिलाया गया।यदि अब
मिश्रण में दूध की सांद्रता 71.11% है।बर्तन की
छमता ज्ञात कीजिये।
a)105 ltr b)162 Itr c)180 rd)135 ltr
Answers
capacity of container = 135 litre
Step-by-step explanation:
Capacity of Container = C Liter
vessel is completely filled with milk.
=> Milk in Container = C Litre
27 Litres taken out and replaced with Water
Milk = C - 27 Litre
Water = 27 Litre
15 ltr of mixture is taken out and vessel is filled with water again.
Milk in 15 litre = 15 * (C - 27)/C
Milk remained in Container = C - 27 - 15 * (C - 27)/C
= (C - 27)( 1 - 15/C)
= (C - 27)(C - 15)/C
Milk % = 100 *( (C - 27)(C - 15)/C)/C = 71.11
=> 100 (C² - 42C + 405) = 71.11 C²
=> C² - 42C + 405 = 0.7111 C²
=> 0.2889C² - 42C + 405 = 0
=> 0.2889C² - 39C - 3C + 405 = 0
=> 0.2889C(C - 135) - 3(C - 135) = 0
=> ( 0.2889C - 3)(C - 135) = 0
=> C = 135
Capacity of Container = 135 Liter
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