I bought two dresses for ₹1,200. I sold the first one at a loss of 9% and the second at a gain of 18%. If, on the whole I made neither a loss nor a gain, find the cost price (in ₹) of the first dress.
I bought two dresses for ₹1,200. I sold the first one at a loss of 9% and the second at a gain of 18%. If, on the whole I made neither a loss nor a gain, find the cost price (in ₹) of the first dress.
मैंने ₹1,200 में दो ड्रेस खरीदीं। मैंने पहली ड्रेस को 9% की हानि पर और दूसरी ड्रेस को 18% के लाभ पर बेच दिया। यदि कुल मिलाकर मुझे न तो हानि हुई और न ही लाभ हुआ, तो पहली ड्रेस का क्रय मूल्य (₹ में) ज्ञात कीजिए।
Detailed Solution & Logic
800
Solution:
Let cost price of first dress = x
Then cost price of second dress = 1200 − x
First dress (9% loss):
SP = $ 0.91x $
Second dress (18% gain):
SP = $ 1.18(1200 - x) $
Since there is no profit, no loss overall:
Total SP = Total CP
$ 0.91x + 1.18(1200 - x) = 1200 $
Solve:
$ 0.91x + 1416 - 1.18x = 1200 $
$ -0.27x + 1416 = 1200 $
$ -0.27x = -216 $
$ x = 800 $
Final Answer: ₹800
Similar Practice Questions
The selling price of a fan is ₹7,392.
The selling price of a fan is ₹7,392. If profit percentage is 32%, then what...
Raju buys a mobile phone for ₹14,500 and sells
Raju buys a mobile phone for ₹14,500 and sells it at a loss of 25%....
A seller makes a loss of 5% by selling a shirt for ₹1,000. He would have made x% profit by selling for ₹1,400. Find the value of x.
A seller makes a loss of 5% by selling a shirt for ₹1,000. He would...
Sachin sold 152 chairs and had
Sachin sold 152 chairs and had a gain equal to the selling price of 52...
Aakash, Suman, and Raj invest ₹1,720, ₹1,690, and ₹1,240, respectively to start abusiness. If the profit at the end of the year is ₹1,440, then what is the share of Raj in the profit?
Aakash, Suman, and Raj invest ₹1,720, ₹1,690, and ₹1,240, respectively to start abusiness. If the...
A trader purchases 100 smartphones at Rs. 12, 000 each.
A trader purchases 100 smartphones at Rs. 12, 000 each. He spends Rs. 30,000 on...
A seller offers a combo deal: “Buy 3 shirts for the price of 2”. If each shirt costs him Rs.300, what is the effective loss percentage?
A seller offers a combo deal: “Buy 3 shirts for the price of 2”. If...