A man buys two books for ₹410 and sells both at the same selling price. On one…
2016
A man buys two books for ₹410 and sells both at the same selling price. On one book he gains 15 percent and on the other he loses 10 percent. The cost price of the two books is
- A.
₹110 and ₹260
₹110 और ₹260 - B.
₹120 and ₹290
₹120 और ₹290 - C.
₹180 and ₹230
₹180 और ₹230 - D.
None of these
Attempted by 2 students.
Show answer & explanation
Correct answer: C
Let the cost price of the first book be x and the second book be (410 - x).
Selling price of first book = 1.15x (15% profit).
Selling price of second book = 0.90(410 - x) (10% loss).
Since both books are sold at the same selling price, set the two expressions equal:
1.15x = 0.90(410 - x)
Solve for x:
1.15x = 369 - 0.90x
1.15x + 0.90x = 369
2.05x = 369
x = 369 / 2.05 = 180
So, cost price of first book = ₹180, second book = 410 - 180 = ₹230.
हिन्दी उत्तर: माना पहली किताब का क्रय मूल्य x है और दूसरी किताब का क्रय मूल्य (410 - x) है।
पहली किताब का विक्रय मूल्य = 1.15x (15% लाभ)।
दूसरी किताब का विक्रय मूल्य = 0.90(410 - x) (10% हानि)।
चूँकि दोनों किताबों का विक्रय मूल्य समान है, इसलिए दोनों व्यंजकों को बराबर रखें:
1.15x = 0.90(410 - x)
x के लिए हल करें:
1.15x = 369 - 0.90x
1.15x + 0.90x = 369
2.05x = 369
x = 369 / 2.05 = 180
इसलिए, पहली किताब का क्रय मूल्य = ₹180, दूसरी किताब का क्रय मूल्य = 410 - 180 = ₹230।