Question

17. Mrs Rane gives 0.025 part of her salary as pocket money to her son Vinod every month. Vinod
spends 0.8 part of his pocket money and saves the rest. If he saves 277.50 in three months,
how much does Mrs Rane earn in a month?​

Answer 1

Answer:

Mrs Rane earn Rs. 18500 in a month.

Step-by-step explanation:

Let the salary earned per month be x.

We know that she gives 0.025 part of her salary as pocket money to her son Vinod every month

= 0.025 of x

= 0.025x

= 25/1000 x

= 5/200 x

= 1/40 x

Vinod spends 0.8 part of his pocket money

= 8/10 of 1/40 x

= 8/10 × 1/40 x

= 1/50 x

Now,

• Money saved by Vinod = Total salary - he spent
• Money saved by Vinod = 1/40 - 1/50
• Money saved by Vinod = (50 - 40)/2000 x
• Money saved by Vinod = 10/2000 x
• Money saved by Vinod = 1/200 x

• He saves in three months = Rs. 277.50
• He saved in one month = 277.50/3
• He saved in one month = Rs. 92.5

• = Money saved by Vinod = He saved in one month
• = 1/200 x = 92.5
• x = 92.5 × 200
• x = Rs. 18,500

∴ Mrs Rane earn Rs. 18500 in a month.

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