TWO COWS WERE BOUGHT AT THE SAME COST EACH ONE WAS SOLD AT A PROFIT OF 5% AND THE - Maths - Comparing Quantities

Question

TWO COWS WERE BOUGHT AT THE SAME COST EACH ONE WAS SOLD AT A PROFIT
OF 5% AND THE OTHER WAS SOLD AT A LOSS OF 7% IF THE ACTUAL
DIFFERENCE OF THE SELLING PRICES WERE RS 144, WHAT IS THE COST
PRICE OF EACH COW? ​

Manbar Singh · Accepted Answer

Let the CP of first cow = Rs xProfit on first cow = 5%⇒ProfitCP×100% = 5%⇒Profitx × 100 = 5⇒20profit = x⇒20SP-CP = x⇒20SP-x = x⇒20SP - 20x = x⇒20SP = 21x⇒SP of first cow = Rs 2120xLet the CP of second cow = Rs xloss on first cow =7%⇒lossCP×100% = 7%⇒lossx × 100 = 7⇒100 loss = 7x⇒100CP-SP = 7x⇒100x-SP = 7x⇒100x - 100SP = 7x⇒100SP = 93x⇒SP of second cow = Rs 93100xNow, SP of first cow - SP of second cow = Rs 144⇒21x20 - 93x100 = 144⇒105x-93x100 = 144⇒12x100 = 144⇒x = 1200So, CP of each cow = Rs 1200

TWO COWS WERE BOUGHT AT THE SAME COST EACH. ONE WAS SOLD AT A PROFIT OF 5% AND THE OTHER WAS SOLD AT A LOSS OF 7%. IF THE ACTUAL DIFFERENCE OF THE SELLING PRICES WERE RS 144, WHAT IS THE COST PRICE OF EACH COW? ​

TWO COWS WERE BOUGHT AT THE SAME COST EACH. ONE WAS SOLD AT A PROFIT OF 5% AND THE OTHER WAS SOLD AT A LOSS OF 7%. IF THE ACTUAL DIFFERENCE OF THE SELLING PRICES WERE RS 144, WHAT IS THE COST PRICE OF EACH COW?