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Lakshmi is a cashier in a bank. She has currency notes of denominations ₹100,₹50 and ₹10 respectively. The ratio of the number of these notes 2:3:5. The total cash with Lakshmi is ₹4,00,000. How many notes of each denomination does she have ? Give answer in full statement.​

Answer»

-step explanation:Given :-LAKSHMI is a CASHIER in a bank. She has currency notes of denominations ₹100,₹50 and ₹10 respectively. The ratio of the number of these notes 2:3:5. The total cash with Lakshmi is ₹4,00,000. To find :-How many notes of each denomination does she have ? Solution :-Given that Lakshmi is a cashier in a bank. She has currency notes of denominations ₹100,₹50 and ₹10 respectively. The ratio of the number of these notes = 2:3:5Let the number of ₹ 100 notes be 2XThe VALUE of 2X ,₹ 100 notes= ₹ 100 ×2X = ₹ 200XLet the number of ₹ 50 notes be 3XThe value of 3X ,₹ 50 notes = ₹ 50× 3X= ₹ 150XLet the number of ₹ 10 notes be 5XThe value of 5X, ₹ 10 notes = ₹ 10 × 5X= ₹ 50X Total amount with Lakshmi= 200X + 150X +50X = ₹ 400XAccording to the given problemThe total cash with Lakshmi = ₹4,00,000=> 400 X = 400000=> X = 400000/400=> X = 1000Now,The number of ₹ 100 notes = 2X=> 2×1000 = 2000The number of ₹ 50 notes = 3X=> 3×1000 = 3000The number of ₹ 10 notes = 5X=> 5×1000 = 5000Answer:-The number of ₹ 100 notes = 2000The number of ₹ 50 notes = 3000The number of ₹ 10 notes = 5000Check:-The ratio of all notes= 2000:3000:5000= 2:3:5The number of ₹ 100 notes = 2000Value of that notes = 2000×100 = ₹ 200000The number of ₹ 50 notes = 3000Value of that notes = 3000×50 = ₹ 150000The number of ₹ 10 notes = 5000Value of that notes = 5000×10 = ₹ 50000Total money with Lakshmi = 2,00,000+1,50,000+50,000= ₹4,00,000Verified the given relations in the given problem.



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