Synopsis IAS

Answer

Solution

UPSC Prelims

Mathematics

Theme:

Profit, Loss and Discount / लाभ, हानि और छूट

Q62 2013, Profit, Loss and Discount

A sum of ₹700 has to be used to give seven cash prizes to the students of a school for their overall academic performance. If each prize is ₹20 less than its preceding prize, what is the least value of the prize ?

किसी विद्यालय के विद्यार्थियों के समग्र शैक्षिक निष्पादन हेतु ₹ 700 की राशि में सात नकद पुरस्कार प्रदान किए जाने हैं। यदि प्रत्येक पुरस्कार उसके पिछले पुरस्कार से ₹20 कम है, तो पुरस्कार का न्यूनतम मूल्य क्या है ?

Explanation

Please wait..

1. Correct Answer
     The correct answer is Option B: ₹40.
2. Explanation
     To solve this problem, we need to determine the value of the smallest prize when the total sum of the prizes is ₹700, and each prize is ₹20 less than the preceding one.
     Let's denote the value of the smallest prize as *x*. Therefore, the prizes can be represented as follows:
         ○ 1st prize: *x*
         ○ 2nd prize: *x + 20*
         ○ 3rd prize: *x + 40*
         ○ 4th prize: *x + 60*
         ○ 5th prize: *x + 80*
         ○ 6th prize: *x + 100*
         ○ 7th prize: *x + 120*
     The sum of all these prizes should equal ₹700:
     \[
     x + (x + 20) + (x + 40) + (x + 60) + (x + 80) + (x + 100) + (x + 120) = 700
     \]
     Simplifying the equation:
     \[
     7x + (20 + 40 + 60 + 80 + 100 + 120) = 700
     \]
     \[
     7x + 420 = 700
     \]
     Subtract 420 from both sides:
     \[
     7x = 280
     \]
     Divide both sides by 7:
     \[
     x = 40
     \]
     Therefore, the least value of the prize is ₹40, which corresponds to Option B.

व्याख्या Please wait..

Q 62. 2013, Profit, Loss and Discount

Mathematics

Explanation

Please wait..

व्याख्या Please wait..

Topics

Quick Links

John Doe

Mathematics

Explanation Save Please wait..

व्याख्या Please wait..

Topics

Quick Links

John Doe

Explanation

Please wait..