Question

cost price of a pair of sandals and a pair of shoes is ₹. 990 the pair of shoes cost ₹410 more than the cost of the pair of sandals. find the cost of each pair separately ​

Answer 1

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

★Assume pair of sandals be p

${\boxed{\sf\:{Hence}}}$

★Cost of the shoes = p + 410.

Sum = 990

★Now substitute an Equation :-

p + (p + 410) = 990

p + p + 410 = 990

2p + 410 = 990

2p = 580

${\boxed{\sf\:{p=\dfrac{580}{2}}}}$

p = 290

$\text{\boxed{Pair\;of\;shoes}}$

= p

= Rs 290

$\text{\boxed{Pair\;of\;sandals}}$

= p + 410

= 290 + 410

= Rs 700

$\Large{\boxed{\sf\:{Pair\;of\;shoes=Rs\;290\;and\;Sandal=Rs\;700}}}$

Answer 2

Answer:

A pair of shoes costs Rs. 290

&

A pair of sandals costs Rs. 700

Step-by-step explanation:

Let the cost of the pair of sandals be x.

Then, Cost of the shoes = x + 410

The sum of cost price of sandals and shoes is Rs.990

=> x + (x + 410) = 990

=> 2x + 410 = 990

=> 2x = 990 - 410

=> 2x = 580

=> x = 290

Find the cost of the sandals and shoes :

A pair of shoes = x = Rs. 290

A pair of sandals = x + 410 = 290 + 410 = Rs. 700

Thus,

A pair of shoes costs Rs. 290

&

A pair of sandals costs Rs. 700