Ashifur August 8, 2023 - 14:31
Problem: A trader bought a shirt and a trouser at Tk. 1000. If the trouser was sold as 20% profit and the shirt at 15% loss then the trader makes an overall profit of 6% on his investment, Calculate the price of the trouser and shirt.

View all: MERCANTILE BANK | PROBETIONARY OFFICER | WRITTEN MATH SOLVE | 2003

Correct Answer: The price of the shirt Tk. 400 & the price of the trouser Tk. 600.

Explanation:

Let, the price of the shirt = x

The price of the trouser = (1000 —x)

At 20% profit, the profit from trouser = 0.20 x (1000 —x)

At 15% loss, from shirt =0 .15 xx = 0.15x

Overall profit from investment = 0.06 x 1000 = 60

0.20 (1000 -x)—0.15x = 60

=> 200— 0.20x— 0.15x= 60

=> — 0.35x= 60- 200 = — 140

x = $\frac{140 \cdot 100}{35}$ = 400

The price of the shirt = Tk. 400

& the price of the trouser = Tk. (1000 — 400) = Tk. 600

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