Question 104

A factory’s yearly budget for the purchase of employees protection shoes increased by 60% this year over last year. If the price of the shoes increased by 20% this year, then the number of shoes it can purchase this year is what percent greater than the number of shoes it purchased last year ?

Solution

Let 100 pairs of shoes be bought for Rs. 100

=> New budget = $$100\times\frac{160}{100}=Rs.$$ $$160$$

New price of 1 pair of shoes = $$1\times\frac{120}{100}=Rs.$$ $$1.2$$

=> Number of shoes bought = $$\frac{160}{1.2}=133.33$$

$$\therefore$$ % increase = $$\frac{(133.33-100)}{100}\times100=33.33=33\frac{1}{3}\%$$

=> Ans - (B)

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