Question

The cost of 7 shirts and 5 pairs of the trousers is ₹ 11,900. Find the cost of 3 shirts and 3 pairs of trousers if the cost if a pair of trousers exceeds the cost of a shirt by ₹ 100.​

Answer 1

$\huge\bf\underline{Answer}$

Given:-

• The cost of 7 shirts and 5 pairs of the trousers is ₹ 11,900.

Find:-

• the cost of 3 shirts and 3 pairs of trousers if the cost if a pair of trousers exceeds the cost of a shirt by ₹ 100.

Solution:-

$\small\tt{Let\:the\:cost\:of\:1\:shirt = x}$

$\rightarrow$ Cost of a pair of trouser $\tt{=x+100}$

$\rightarrow$$\small\tt{Cost\:of\:7\:shirts = 7x}$

$\rightarrow$Cost of 5 pairs of trousers $\tt{= 5(x+100)}$

$\therefore$ The cost of 7 shirts and 5 pairs of trousers is 11900 rupees,

$\rightarrow$$\tt{7x+5(x + 100) = 11900}$

$\rightarrow$$\tt{7x + 5x +500 = 11900}$

$\rightarrow$$\tt{12x = 11400}$

$\Rightarrow$$\tt{x=950}$

$\therefore$Cost of 1 pair of trouser

$\tt{= x+100=950+100=1050}$

$\therefore$Cost of 3 shirts $\tt{= 3(950)=2850}$

$\therefore$Cost of 3 pairs of trousers

$\tt{=3(1050)=3150}$

$\therefore$Cost of 3 shirts and 3 pairs of trousers

$\tt{= 3150+2850-6000}$

Hence Cost of 3 shirts and 3 pairs of trousers is Rs.6000