A father gave a cheque to his son to withdraw money from bank. The amount on cheque was written in Rs. and paisa. The bank official by mistake gave him paise in place of Rupees and vice versa. The son spent 0.20 paisa out of the money received from bank and handed over the balance amount to his father. The father was surprised to see that the son had brought exactly double of the amount written on cheque. Kindly tell what amount was written on cheque. This is lock down quiz
Answers
Answer:
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The amount 26 Rs. 53 Paisa was written on cheque.
Step-by-step explanation:
Let 'x' be the rupees on cheque and 'y' be the paisa.
But the bank official by mistake gave him 'y' rupees and 'x' paisa.
He spent 0.20 paisa, now remaining amount = y rs. and (x-20) paisa.
It is given that remaining amount is double the amount written on the cheque
∴ y rupees + (x-20) = 2(x rupees and y paisa)
on comparison we get y = 2x, x-20 = 2y but on solving we shall get x as a negative number which is a contradiction
an other case is also possible
y rupee (x-20) paise = 2(x rupee y paise)
y rupee (x-20) paise = 2(x rupee) 2(y paise)
y rupee (x-20) paise = (2x+1) rupee (2y-100) paise
y = 2x+1,
x - 20 = 2y - 100
on taking y = 2x + 1
in second equation, we get x-20 = 2(2x + 1) - 100
x-20 = 4x + 2 - 100
3x = 78
x = 26,
y = 2(26)+1 = 53
The amount 26 Rs. 53 Paisa was written on the cheque.
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