A fruitseller loses 10% by selling oranges at 26 for rs5. How many oranges should he sell for rupee to 
gain 17%?

Asked by supreet.saggu | 1st Jun, 2016, 11:31: AM

Expert Answer:

SP space of space 26 space oranges space equals space Rs. space 5 space equals space 500 space straight p
rightwards double arrow SP space of space 1 space orange space equals space 500 over 26 equals space 250 over 13 straight p
Loss space equals space 10 percent sign
rightwards double arrow SP over CP equals space 1 space minus space straight L over 100
rightwards double arrow fraction numerator 250 over denominator 13 CP end fraction equals space 1 space minus space 10 over 100
rightwards double arrow fraction numerator 250 over denominator 13 CP end fraction equals 90 over 100
rightwards double arrow 250 space cross times 100 space equals space 13 cross times CP space cross times space 90
rightwards double arrow CP thin space equals space fraction numerator 250 space cross times 100 over denominator 13 cross times 90 end fraction equals 2500 over 117
Profit space equals space 17 percent sign
SP over CP equals space 1 plus space straight P over 100
rightwards double arrow SP over CP equals space 1 plus space 17 over 100
rightwards double arrow SP over CP equals space 117 over 100
rightwards double arrow SP space equals space 117 over 100 cross times 2500 over 117
rightwards double arrow No. space of space oranges space to space be space sold space for space straight a space rupee space to space gain space 17 percent sign space equals space 100 over 25 equals 4

Answered by Rebecca Fernandes | 1st Jun, 2016, 11:49: AM