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RBI Grade B Phase 1 PYP >> Jul 9, 2023 - Shift 1 >> Quantitative Aptitude

Question :

The ratio of the cost price to the marked price of an article is X/Y and the ratio of the market price to the selling price of the article is (Z + 3): (Y + 4). If the discount given on the article is Rs. 150 and the marked price of the article is Rs. 1500, then which of the following statements is/are correct?

I. If the marked price of the article is 25% above its cost price, then the profit on the article while selling the article is Rs. 1100.

II. The values of Z and Y are single digit highest prime number and square of the lowest prime number respectively.

III. The discount percentage given in the article is 10%.

1. Only I

2. Only II

3. Only III

4. Both I and II

5. Both II and III

Correct Answer : 3
Solution :

S.P = 1500 - 150 = Rs. 1350

M.P/ S.P = 1500/ 1350 = 10: 9

Z + 3 = 10

Z = 7

Y + 4 = 9

Y = 5

I.

M.P = C.P * (100 + 25)/100

1500 = C.P * 125/100

C.P = 1500 * 100/125

Hence, loss obtained (C.P > S.P)

II.

Z = 7 [Single digit highest prime number]

Y = 5 [Square of the lowest prime number is (2)2 = 4, so not satisfied]

III.

S.P = M.P * (100 - Discount)/100

1350 = 1500 * (100 - Discount)/100

100 - Discount = 1350 * 100/ 1500

100 - Discount = 90

Discount = 10%

Hence, Only III

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