Solve the following mathematical problems:

The price of a shirt and a pant together is Tk. 1, 300 . If the price of the shirt increases by 5% and that of the pant by 10% , it costs Tk. 1,405 to buy those two things. Find the respective price of a shirt and a pant. (percentage)

Created: 1 year ago | Updated: 1 year ago

Updated: 1 year ago

Suppose, the price of a shirt Tk. x

and the price of a pant is Tk. y

According to the question:

$x + y = 1300 . . . . . . . . . . . . . . (i) 1.05 x + 1.1 y = 1405 . . . . . . . . . . . . . (i i)$

Now, we multiply equation (i) by 1.1 and subtract equation (ii) from equation (i)

$1.1 x + 1.1 y = 1430 1.05 x + 1.1 y = 1405 0.5 = 25$

$x = \frac{25}{0.05} x = 500$

Putting the value of x in equation (i) we get.

500+y=1300

y=1300-500 = 800

ans. Shirt Tk. 500, Pant Tk. 800.

1 year ago

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