Arafat has Tk. 420. He purchased fifty ma… | Answer

Subject

Bank Exam

Topic

City Bank Ltd. - Management Trainee Officer - 2018

Arafat has Tk. 420. He purchased fifty mangoes and thirty oranges with the whole amount. He then chose to return six mangoes for nine oranges as both quantities are equally priced. What is the price of each mango ?
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ক)

4.50

খ)

5.0

গ)

5.50

ঘ)

6.00

ঙ)

None of these

Explanation

Solution: প্রশ্নে বলা হচ্ছে যে, আরাফাতের নিকট 420 টাকা রয়েছে। সে পুরো টাকা দিয়ে 50টি আম এবং 30টি কমলা কিনলো । পরে সে 6 টি আম দিয়ে 9 টি কমলা Change করে নিলো, কারণ 6 টি আমের মূল্য ও 9 টি কমলার মূল্য সমান । প্রতিটি আমের মূল্য কত ? প্রিয় চাকুরী প্রত্যাশী ভাই এবং বোনেরা, এই অঙ্কের হিসেবের সুবিধার জন্য আম কে x এবং কমলা y দ্বারা সূচিত করে অঙ্কটি সমাধানের পথে যাইঃ ধরি, আমের সংখ্যা x এবং কমলার সংখ্যা y তাহলে প্রশ্নমতে, 50x + 30y = 420 ..........(1) 6x = 9y ....................(2) (2) নং হতে পাই, 6x = 9y =>

x = \frac{9}{6}y = \frac{{3y}}{2}

x =

\frac{{3y}}{2}

............................(3) x এর মান (1) নং সমীকরণে বসিয়ে পাই 50x + 30y = 420 =>

50 \times \frac{{3y}}{2} + 30y

= 420 => 75y + 30y = 420 => 105y = 420 y =

\frac{{420}}{{105}}

= 4 y এর মান (3) নং সমীকরণে বসিয়ে পাই x =

\frac{{3 \times 4}}{2} = 6

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Arafat has Tk. 420. He purchased fifty mangoes and thirty oranges with the whole amount. He then chose to return six mangoes for nine oranges as both quantities are equally priced. What is the price of each mango ?Reading

Arafat has Tk. 420. He purchased fifty mangoes and thirty oranges with the whole amount. He then chose to return six mangoes for nine oranges as both quantities are equally priced. What is the price of each mango ?

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Arafat has Tk. 420. He purchased fifty mangoes and thirty oranges with the whole amount. He then chose to return six mangoes for nine oranges as both quantities are equally priced. What is the price of each mango ?
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