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Niketan goes in a mall for shopping. He has a certain amount in his credit card. There he can buy 60 masks or 50 sanitizers. He retain 20% of the amount for taxi fare and buys 25 sanitizers and with the remaining amount he buys masks. Then find which of the following statement is/are true? a) No. of sanitizer are less than number of mask. b) Number of sanitizer are equal to the number of mask. c) Number of masks are less than number of sanitizers. Select the correct answer using the codes given below :   

Niketan goes in a mall for shopping. He has a certain amount in his credit card. There he can buy 60 masks or 50 sanitizers. He retain 20% of the amount for taxi fare and buys 25 sanitizers and with the remaining amount he buys masks. Then find which of the following statement is/are true? a) No. of sanitizer are less than number of mask. b) Number of sanitizer are equal to the number of mask. c) Number of masks are less than number of sanitizers. Select the correct answer using the codes given below :    Correct Answer c only

Given∶ 

With a certain amount he buys 60 masks or 50 sanitizers.

20% of the amount he retain for fare.

He buys 25 sanitizers.

Formula Used∶

Simple concept of percentage.

Calculation∶

Niketan can buy 60 masks or 50 sanitizers.

Let the price of one masks be Rs. x.

Total amount Niketan has = Rs. 60x.

50 sanitizers costs Rs. 60x.

So cost of one sanitizer,

⇒ 60x/50 = Rs. 1.2x

20% of the total amount is retained for taxi fare,

⇒ 20% of 60x = 12x

Cost of 25 sanitizers,

⇒ 25 × 1.2x = 30x

Money left with Niketan = 60x - (taxi fare) - (cost of 25 sanitizers)

⇒ 60x - 12x - 30x = 18x

One mask for Rs.x. Therefore,18 masks can be bought with Rs.18x.

∴ Niketan can buy 18 mask. So, option 4 is correct.

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