Question

Selling price of a shirt and a coat is Rs. 4000. The cost price of a shirt is 58.33 % of the cost price of a coat and so amount of profit on both the shirt and coat is same, then the price of the shirt could be :

• A. 2100
• B. 2120
• C. 2552
• D. 1120

Answer 1

Answer: (D)

1120

Given selling price of a shirt and a coat is $Rs.4000$.

Also, $CP$ of shirt is $58.33\%$ of $CP$ of cost.

Hence ratio of $CP$ of shirt and coat is $58.33:100=7:12$

Selling price=cost price+Profit

$SP$ of Shirt$=7y+x$

$SP$ of Coat$=12y+x$

Since, the profit is same, so the selling price of shirt will certainly be less than $Rs.2000$ (which is half of the total value) as it is clear that cost price of shirt is less than the cost price of coat.

$Note:-$ if selling price of shirt is equal to or greater than the selling price of coat then the C.P. of coat will be equal to or less than the C.P. of shirt which is wrong.

Hence the only possible choice is $\left(d\right)$.