TheCATExam
Sign in

CAT 2024 Slot 3 — QA Question 15

DiscountEasy

Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on this marked price, and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is

Answer & solution

  • 10

  • B

    20

  • C

    15

  • D

    25

Solution

Medium

The 10% discount Ravi receives equals the Rs 15 he saves, so 10%10\% of the marked price =15=15, giving the marked price. The marked price is 20%20\% above cost, so back out cost, then compute Gopi's actual profit at the discounted selling price.

1

Marked price from the saving. Saving =10%=10\% of marked price =15=15.

0.10 M=15⇒ M=150\begin{aligned} &0.10\,M=15\\ &\Rightarrow\ M=150 \end{aligned}
2

Cost price. The mark-up was set for 20%20\% profit, so M=1.2×CM=1.2\times C.

1.2 C=150⇒ C=125\begin{aligned} &1.2\,C=150\\ &\Rightarrow\ C=125 \end{aligned}
3

Selling price to Ravi and profit. Ravi pays M−15=135M-15=135.

SP=150−15=135⇒ Profit=SP−C=135−125(from step 2)⇒ Profit=10\begin{aligned} &\text{SP}=150-15=135\\ &\Rightarrow\ \text{Profit}=\text{SP}-C=135-125\quad\text{(from step 2)}\\ &\Rightarrow\ \text{Profit}=10 \end{aligned}
Rs 10\text{Rs }10
CAT 2024 Slot 3 QA Q15: Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on this marked price, and — Solution | TheCATExam