55. A fruit merchant makes a profit of25% selling mangoes at a certain

1.	55. A fruit merchant makes a profit of25% selling mangoes at a certainprice. If he charges?1more on eachmango, he would gain 50%. At first,the price of one mango was(a) 6(c) ă4(b) 5(d) 7
Answer» Ans :- Let the price of cost price of one mango be x. When it is sold at a profit of 25% the selling price will be : 1.25x If the selling price increases by one the profit becomes 50%. Thus : 1.25x + 1 = 1.5x 1.5x - 1.25 x = 1 0.25x = 1 x = 1/0.25 x = 4The price at first is : 1.25 × 4 = 5Rs 5

55. A fruit merchant makes a profit of25% selling mangoes at a certainprice. If he charges?1more on eachmango, he would gain 50%. At first,the price of one mango was(a) 6(c) ă4(b) 5(d) 7

Answer»

Ans :- Let the price of cost price of one mango be x.

When it is sold at a profit of 25% the selling price will be :

1.25x If the selling price increases by one the profit becomes 50%.

Thus :

1.25x + 1 = 1.5x

1.5x - 1.25 x = 1

0.25x = 1

x = 1/0.25

x = 4The price at first is :

1.25 × 4 = 5Rs 5