Question 73

A sells an article to B at a loss of 20%, B sells it to C at a profit of 12.5% and sells it to D at a loss of 8%. If D buys it for ₹248.40, then what is the difference between the loss incurred by A and C?

Solution

Cost price for D = 248.40

Loss for C = 8%

Cost price for C = 248.40 $$\times \frac{100}{92}$$ = 270

Loss of C = 270- 248.4 = 21.6

Selling price for B = Rs. 270

Profit = 12.5%

Cost price for B =  270 $$\times \frac{100}{112.5}$$ = 240

Selling price for A = Rs.240

Loss = 20%

Cost price for A = 240 $$\times \frac{100}{80}$$ = 300

Loss for A = 300 - 240 = 60

Difference between the loss incurred by A and C = 60 - 21.6 = Rs. 38.4


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