A Samsung duo and a Galaxy are bought for Rs.40000. The Duo is sold at a…
2026
A Samsung duo and a Galaxy are bought for Rs.40000. The Duo is sold at a profit of 33.33% and the Galaxy is sold at a loss of 20%. There was no loss or gain. Find the cost price of the Samsung duo in Rs.
Answer: A. 15000 — Understanding the problem: find the cost price of the Samsung Duo when the two phones together cost Rs.40,000, the Duo is sold at 33 1/3% profit and the…
- A.
15000
- B.
25000
- C.
20000
- D.
18000
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Correct answer: A
Understanding the problem: find the cost price of the Samsung Duo when the two phones together cost Rs.40,000, the Duo is sold at 33 1/3% profit and the Galaxy at 20% loss, and there is no net gain or loss.
Let x = cost price of the Samsung Duo and y = cost price of the Galaxy.
Total cost: x + y = 40,000.
Selling price of Duo: 33 1/3% = 1/3 profit, so SP_Duo = x + (1/3)x = (4/3)x.
Selling price of Galaxy: 20% loss, so SP_Galaxy = y − 0.20y = (4/5)y.
No net gain or loss means total selling price = total cost = 40,000, so (4/3)x + (4/5)y = 40,000.
Solve the system:
From x + y = 40,000, substitute y = 40,000 − x into (4/3)x + (4/5)y = 40,000.
(4/3)x + (4/5)(40,000 − x) = 40,000.
Clear denominators by multiplying both sides by 15 (LCM of 3 and 5): 20x + 12(40,000 − x) = 600,000.
Simplify: 20x + 480,000 − 12x = 600,000 ⇒ 8x = 120,000 ⇒ x = 15,000.
Verification:
x = 15,000, so y = 40,000 − 15,000 = 25,000.
SP_Duo = (4/3)×15,000 = 20,000; SP_Galaxy = (4/5)×25,000 = 20,000. Total SP = 40,000 = total CP, so no net gain or loss.
Final answer: The cost price of the Samsung Duo is Rs. 15,000.